a) The Cartesian components of tension TnA for unit vector by the magnitude of tension is (-87.89, -74.59, 47.44), i lb, j lb, k lb.
b) The tension in cable DC is TnC = 74.59 lb.
Part A: Determining Cartesian components of force
To find the Cartesian components of the tension TnA, we need to determine the direction of the tension from point D to point A. The direction can be expressed in terms of unit vectors i, j, and k.
The direction from point D to point A can be expressed as the vector (AXD) = (-4.50,-3.80,2.80) ft - (0,0,0) ft = (-4.50,-3.80,2.80) ft.
To convert the direction vector into a unit vector, we divide each component by the magnitude of the vector:
AXD = (-4.50,-3.80,2.80)/√((-4.50)² + (-3.80)² + (2.80)²) = (-8.158, -6.889, 4.532)
Finally, the Cartesian components of tension TnA can be found by multiplying the unit vector by the magnitude of tension:
TnA = 10.6 lb × (-8.158, -6.889, 4.532) = (-87.89, -74.59, 47.44), i lb, j lb, k lb
Part B: Determining an unknown force
To find the tension in cable DC, we need to find the net force acting on the ball. The net force can be expressed in terms of its Cartesian components, which can be calculated as the sum of the tensions in cables DA, DB, and DC.
Let's call the tension in cable DC TnC. The net force in the x-direction is equal to the sum of the x-components of the tensions, which is:
-87.89 + TnC = 0
TnC = 87.89 lb
Similarly, the net force in the y-direction is equal to the sum of the y-components of the tensions, which is:
-74.59 + TnC = 0
TnC = 74.59 lb
Since the net force must be zero, TnC must be equal in both the x-direction and the y-direction. Therefore, TnC = 87.89 lb = 74.59 lb.
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The question is -
To determine Cartesian force components from the magnitude and determine the position and resultant vectors by summing Cartesian components. Part A- Determining Cartesian components of force As shown, a 3.3-lb ball is suspended at point D inside a box with dimensions w = 8.90 ft, d 6.40 ft, and h = 4.50 ft.
The ball is held in place by three cables anchored at points A, B, and C on the surface of the box. The tension in cable DA has a magnitude of TnA = 10.6 1b. Find the Cartesian components of tension TnA which is directed from D to A.
D is the origin of the Cartesian coordinate system, point A is located at (-4.50,-3.80,2.80) ft, point B is located at (1.90,-3.80,1.80) ft, and point C is located at (1.90, 5.10, -1.70) ft.
Part B- Determining an unknown force If the tensions in cables DA and DB are Tpa = 10.6 lb and TDB 6.98 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units.
A uniform electric field of magnitude 640 N/C exists between two parallel plates that are 4.40 cm apart. A proton is released from the positive plate at the same instant that an electron is released from the negative plate. (a) Determine the distance from the positive plate at which the two pass each other. (Ignore the electrical attraction between the proton and electron.) Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.
The distance from the positive plate at which the two pass each other is 2.39 μm.
What mathematical equation describes an even electric field between two parallel plates?With a voltmeter, the difference in electric potential energy is measured in volts. By aligning two substantial flat conducting plates parallel to one another, a continuous electric field can be created. V = E d is the formula for the electrical potential difference in a uniform electric field.
we have the:-
F = q E
F =1.6e-(19 * 640)= 1.024e-16 N
ap = F/mp
ap = 1.024e-16/1.673e-27) = 6.1207e10 m/s2
now for distance of plate
ae = F/me
ae = 1.024e-16/(9.109e-31) = 1.12416e14 m/s2
xp = 0.5 ap t2 = 0.5 * (6.1207e10) * t2 = 3.0604e10 t2
xe = 0.5 ae t2 = 0.5 * (1.12416e14) * t2 = 0.56208e14 t2
(xp + xe) = 4.4 cm = 4.4e-2 m
(3.0604e10) t2 + (0.56208e14) t2 = 4.4e-2
(5.6239e14) t2 = 4.4e-2
t = 8.8452e-9 s
xp = 0.5 ap t2 = 0.5 * (6.1207e10) * (8.8452e-9*8.8452e-9)
xp = 2.39 μm
The distance from the positive plate at which the two pass each other is xp = 2.39 μm
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A ball is thrown straight up with enough speed so that it is in the air for several seconds. Assume the positive direction is upwards. a) What is its velocity 1.1 s before it reaches its highest point? b) What is the change in its velocity, v, during this 1.1-s interval? c) What is its velocity 1.1 s after it reaches its highest point? d) What is the change in velocity, v, during this 1.1-s interval? e) What is the change in velocity, v, during the 2.2-s interval from 1.1 s before the highest point to 1.1 s after the highest point? (Caution: We are talking about velocity, not speed.). f) What is the acceleration of the ball during any of these time intervals and at the moment the ball has zero velocity?
From the earth's surface, a ball is hurled upwards and an initial velocity of V 0. The drag force on the ball's motion is equal to m v 2 (where m is the ball's mass and v is its instantaneous speed).
How can I determine beginning velocity using motion equations?
Below are three beginning velocity estimates based on motion equations: if the values of time, acceleration, and velocity are given. The formula for the flow speed is u = v - at. We can use the formula u2 = v2 - 2as if final velocity, velocity, and distance are known. if the time, distance, and acceleration are known.
What kind of quantity is initial velocity?
A vector quantity, that is. The initial velocity's size corresponds to
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determine the magnitude and direction of the resultant force. determine the magnitude and direction of the resultant force. r
The magnitude and direction of the resultant force can be determined by finding the vector sum of all the individual forces acting on an object using vector addition.
This is involves finding the components of the forces in x and y direction and using Pythagorean theorem to find the magnitude and using inverse tangent to find the direction.
A resultant force is the net force acting on an object, taking into account all the individual forces. The magnitude of the resultant force is the sum of the magnitudes of all the forces and the direction is the direction in which the net force is acting.
Vector addition is used to find the magnitude and direction of the resultant force, which can be determined by finding the components of the individual forces and finding the vector sum of the components. The vector sum can then be used to find the magnitude and direction of the resultant force.
For example, consider two forces F1 and F2 acting on an object. If F1 has a magnitude of 50 N and is acting at an angle of 30 degrees and F2 has a magnitude of 30 N and is acting at an angle of 60 degrees, the magnitude and direction of the resultant force can be determined using vector addition.
By finding the x and y components of each force and finding the vector sum, the magnitude and direction of the resultant force can be determined to be 50.6 N and 39.2 degrees, respectively.
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5. The torque needed to open a factory-sealed jar is about the same as the torque required to turn the wheel on a passenger car. You know the force necessary to turn your car’s steering wheel is less than the force needed to open a jar. How can the torques be the same?
We would need to increase the distance that is turned so as to have the same torque on the steering wheel
What is the torque?Torque is a measure of the force that causes an object to rotate around an axis or pivot point. It is a vector quantity that is defined as the cross product of the lever arm and the force applied. The unit of torque is Newton-meters (Nm) in the SI system.
Torque can be used to describe the effect of forces on objects such as gears, levers, and rotors, and is an important concept in fields such as mechanics, physics, and engineering.
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two blocks are on a frictionless surface and have the same mass m. block 2 is initially at rest. block 1 moves to the left with speed 4v and collides perfectly inelastically with block 2. which of the following choices is closest to the final speed of the system of two blocks?
When two blocks are on a frictionless surface and have the same mass m, the system's ultimate speed is closest to 2v.
What is friction?Friction is the force that prevents solid surfaces, fluid layers, and material components from sliding against each other. There are several kinds of friction: Dry friction is the force that opposes the relative lateral motion of two in touch solid surfaces. When the surface of one item comes into contact with the surface of another, friction occurs. Friction reduces a machine's mechanical advantage, or in other words, friction reduces the output to input ratio.
Here,
When two blocks collide perfectly inelastically, their final speed is equal to the common speed of the two blocks, which is equal to the total momentum of the system divided by the total mass.
Let's consider two blocks of the same mass m, with block 1 moving to the left with speed 4v and block 2 initially at rest. The initial momentum of block 1 is given by:
p1 = m * 4v
After the collision, the final momentum of the system of two blocks is equal to the initial momentum of block 1:
p_final = p1 = m * 4v
The final speed of the system can be found by dividing the final momentum by the total mass:
v_final = p_final / (2m) = 2v
So, the final speed of the system is closest to 2v when two blocks are on a frictionless surface and have the same mass m.
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when a bowling ball hits a pin, the magnitude of the change in momentum of the pin is that of the bowling ball.
This statement is incorrect. The magnitude of the change in momentum of the pin is not equal to that of the bowling ball.
When a bowling ball hits a pin, the pin and the ball both experience a change in momentum, or a force over a certain time interval. The change in momentum of the pin will be equal and opposite to that of the ball, as stated by Newton's Third Law of Motion: "For every action, there is an equal and opposite reaction." However, the magnitudes of the change in momentum of the pin and the ball will not be equal because the mass of the pin is much smaller than that of the ball. The change in momentum is proportional to the mass and velocity of an object, so a lighter object will experience a smaller change in momentum, even if it is acted upon by the same force over the same time interval as a heavier object.
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Is this statement correct?
when a bowling ball hits a pin, the magnitude of the change in momentum of the pin is that of the bowling ball.
water falls without splashing at a rate of 0.220 l/s from a height of 3.20 m into a 0.610-kg bucket on a scale. if the bucket is originally empty, what does the scale read 2.60 s after water starts to accumulate in it? (note that you can ignore the initial impulse at t
The scale will read 5680 N, or 5680 kg x 9.8 m/s^2 = 55,686 N after 2.60 s.
The weight of the water that falls into the bucket can be calculated as follows:
Volume of water = rate x time = 0.220 L/s x 2.60 s = 0.578 L
Mass of water = volume x density = 0.578 L x 1000 g/L = 578 g
Weight of water = mass x acceleration due to gravity = 578 g x 9.8 m/s^2 = 5680 N.
Volume of water refers to the amount of space occupied by water in a given container or area. It is a measure of three-dimensional space and is expressed in cubic units such as liters, gallons or cubic meters. The volume of water can be determined in a variety of ways depending on the type of container, size, and shape.
In a regular shaped container such as a cylinder or a rectangular prism, the volume of water can be calculated using mathematical formulas based on the dimensions of the container. On the other hand, the volume of water in irregularly shaped containers or bodies of water can be determined through the use of displacement methods where the volume is determined by measuring the amount of water displaced by a solid object.
Water volume is an important factor in many fields such as hydrology, oceanography, and meteorology. It is used to monitor changes in sea levels, water resources, and water cycle dynamics. The measurement of water volume is also crucial in the water treatment and distribution industry as it helps determine the amount of water required for various activities.
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the time taken for the earth to spin once is 4 minutes shorter than the time taken for the sun to appear to go around the earth, this is because not only is the earth spinning it is also orbiting _______ . group of answer choices polaris vega the sun the moon
Because the world spins and orbits the sun, the time it takes for the earth to spin once is 4 minutes shorter than the time it takes for the sun to appear to go around the earth.
What is orbit?An orbit is the curved route of an object in celestial mechanics, such as the trajectory of a planet around a star, a natural satellite around a planet, or an artificial satellite around an object or place in space such as a planet, moon, asteroid, or Lagrange point. An orbit is a regular, recurring route in space that one object travels around another. A satellite is an object that is in orbit. A natural satellite, such as Earth or the moon, can exist. Many planets have moons that revolve around them. An orbit is a recurring route taken by one object around another object or center of gravity. Planets, moons, asteroids, and man-made devices are examples of orbiting objects known as satellites.
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true/false. in calorimetry, the thermal energy exchanged between the reaction (defined as the system) and the surroundings is measured by observing the change in temperature of the system
In calorimetry, the system's temperature change is used to determine how much thermal energy was transferred from the reaction which is referred to as the system to the environment.
Although thermal energy itself is difficult to quantify, temperature changes brought on by the transfer of thermal energy between substances or objects may. The quantity of thermal energy that is transmitted during a chemical or physical process is measured using calorimetry. This calls for meticulous measurement. Any time a liquid loses or receives energy, the temperature of the liquid changes. To calculate the amount of energy change, the calorimeter monitors the mass of the liquid as well as the temperature change. It makes use of gadgets called calorimeters to track temperature changes brought on by chemical reactions. The amount of heat that is released or absorbed, as well as the system's heat capacity, determine how much the temperature changes.
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note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. a minivan is tested for acceleration and braking. in the street-start acceleration test, the elapsed time is 8.4 s for a velocity increase from 10 km/h to 100 km/h. in the braking test, the distance traveled is 44 m during braking to a stop from 100 km/h. assume constant values of acceleration and deceleration. determine the deceleration during the braking test. the deceleration during the braking test is m/s2
The deceleration of the car is 8.8 m/s^2.
What is the deceleration?We have to note that the deceleration has to do with the decrease in the speed of the object with time. In this case, we have to note that we must have to convert the speed from Km/hr to m/s.
Then we have that;
Initial velocity = 100 km/hr or 27.8 m/s
Final velocity = 0 m/s
Deceleration = ?
Distance covered = 44 m
Using;
v^2 = u^2 - 2as
Where v = 0
u^ = 2as
a = u^2/2s
a = (27.8)^2/2 * 44
a = 8.8 m/s^2
We would have a deceleration of 8.8 m/s^2.
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550 hz sound is emitted from a megaphone into a series of tubes as shown. the top and bottom paths are initially identical, but the top path can be lengthened.
The constructive interference pattern is formed when the sound waves overlap when they are initially in phase. The length needed to lift the top portion will be one meter, which is the wavelength of the waves.
When two waves interfere with one another, a new wave is produced that has a larger, smaller, or identical amplitude depending on where in space and time the interference occurs. Both constructive and destructive interference results from the interaction of waves that are coherent or correlated with one another, either because they come from the same source or because their frequencies are similar or nearly identical. The resultant wave will have a smaller amplitude than the separate waves when waves that are in phase collide.
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complete question: 550 Hz sound is emitted from a megaphone into symmetrical tubes of one top path and one bottom path. The top and bottom paths are initially identical, but the top path can be lengthened. a. Why is the interference initially constructive? b. How far do you have to raise the top part of the tube to achieve destructive interference in m?
A girl of weight 500 N runs up a flight of stairs in 10 seconds. The vertical height of the stairs is 5m. what is the average power developed by a girl
The power that have been developed is 250 W.
What is the power developed?We have to note that when we talk about the power we mean the rate at which work can be done as such we can be able to say that the power is the timed rate of doing work in the context that we have in this question here.
We have to know that the power is the rate at which the work is done thus;
Work done = Force * distance = 500 N * 5 m = 2500 J
Power developed = Work done /Time
= 2500J/10 s
= 250 W
This is the power that is developed.
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The average power developed by the girl is 250 W.
What is power?In physics, power is described as the amount of energy transferred or converted per unit time.
We know that Power = Work done / Time taken
and
Work done = Force x Distance x cos(theta)
where,
Force = 500 N (weight of the girl)
Distance = 5m (vertical height of the stairs)
theta = 90 degrees (vertical direction)
Substituting the\ values in the formula, we have that
Work done = 500 x 5 x cos(90) = 2500 J (Joules)
Substituting the values of Work done and Time taken and we that
Power = 2500 J / 10 s = 250 (Watts)
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the potential energy function for a system of particles is given by u(x) 5 2x3 1 2x2 1 3x, where x is the posi- tion of one particle in the system. (a) determine the force fx on the particle as a function of x. (b) for what values of x is the force equal to zero? (c) plot u(x) ver- sus x and fx versus x and indicate points of stable and unstable equilibrium.
W = -mgytotal = -mgh is the total work performed by the gravitational force. Ug = mgh represents the change in potential energy. A potential energy function depends on an object's position.
How can the force on a potential energy graph be determined?By taking the derivative of the potential, the force at every place may be determined if the potential energy function U(x) is known. This indicates graphically that if we have potential energy vs. position.
What does equilibrium's potential energy look like?Potential energy and equilibrium are related in that in an equilibrium like this, the body's potential energy is lower. In this case, when the body is moved a short distance, the state generates a force that does not oppose the movement.
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henry heavyweight weighs 1400 n and stands on a pair of bathroom scales so that one scale reads twice as much as the other. part a what is the greater scale reading? express your answer to two significant figures and include the appropriate units. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type w1
Let w1 represent the weight reading that is two times higher than the other on the scale. On the other scale, it says w2.
W1 = 2w2 because w1 equals w2 times two.
We obtain w1 + w2 = 1400 N by adding this to Henry's weight of 1400 N.
We discover that w1 = 1000 N after solving for it.
What is the greater scale's newton reading?
The greater scale reading is 1400 N / 2 = 700 N in newtons. This is due to the fact that one scale registers Henry Heavyweight's weight as 700 N, which means it reads twice as much as the other scale. In order to arrive at this reading, we first calculated Henry's weight in newtons (1400 N), then divided that number by two to arrive at thereading of the
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a 260 g ball is dropped from a height of 2.4 m , bounces on a hard floor, and rebounds to a height of 1.9 m . (figure 1) shows the impulse received from the floor.
The impulse received from the floor is -118 g m/s when a 260 g ball is dropped from a height of 2.4 m, bounces on a hard floor, and rebounds to a height of 1.9 m.
The impulse received by the floor is equal to the change in momentum of the ball. The momentum of the ball can be calculated as the product of its mass and velocity.
Before the ball hits the floor, its momentum is given by:
= p1
= m x v1
= 260 g x (2.4 m/s)
= 624 g m/s
After the ball hits the floor and rebounds, its momentum is given by:
= p2
= m x v2
= 260 g x (-1.9 m/s)
= -494 g m/s
The change in momentum of the ball is equal to the difference between p2 and p1:
= Δp
= p2 - p1
= -494 g m/s - 624 g m/s
= -118 g m/s
Therefore, the impulse received by the floor is equal to -118 g m/s. Note that the negative sign indicates that the direction of the impulse is opposite to the direction of motion of the ball.
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The figures below show 3 separate situations where two electric charges are separated by the same short distance. All electric charges exert forces on each other. In which of the figures does charge A exert a larger force on charge B than charge Bexerts on charge A?
Because the coulomb force between two charges A and B is the same.
Any two charges are subjected to equal and opposing forces.
What is meant by coulombic force?Coulomb force is the attraction or repulsion of particles or objects due to their electric charge. It is also known as electrostatic force or Coulomb interaction. The electric force is named after a French physicist, Charles-Augustin de Coulomb, who published the results of an experimental inquiry into the precise quantitative description of this force in 1785.
Two like electric charges repel each other along a straight line between their centres, whether they are positive or negative. Two opposing charges, one positive and one negative, are attracted to each other along a straight line connecting their centres. The electric force works between charges over distances of at least 10-16 metres.
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Complete question is
2. Viewed from somewhere in space above the Earth’s north pole, would a point on the Earth’s equator have a positive or negative angular velocity due to the Earth’s motion? Explain.
Viewed from somewhere in space above the Earth’s north pole, the Earth’s equator have a positive angular velocity.
What is the Earth’s north pole?A point on the Earth's equator would have a positive angular velocity due to the Earth's motion when viewed from above the Earth's north pole.
We have to note that the earth would have a north pole and a south pole. The mid point of the earth is what we call the equator and the equator is positioned at the center.
In space, we can be able to see the correct shape of the earth as well as the position of the equator.
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(a) the cable of a hoist has a cross-section of 50 mm2. the hoist is used to lift a crate weighing 60 kg. what is the tensile stress in the cable, in mpa units?
The tensile stress in the hoist cable in the unit of MPa is 1.6 Mpa.
The cross section rea of the hoist cable is 50mm². So, the area in m² will be 50 x 10⁻⁶ m².
The cable is holding the crate of mass 60kg.
The tensile stress in the cable is calculated by using the formula,
Stress = Force/area
Force = weight of the body,
Weight the weight is given to be 60kg.
Now, putting values in the relation,
Stress = 60/50x10⁻⁶
stress = 1.2 x 10⁶ N/m²
So, the tensile stress in the cable is found to be 1.2 x 10⁶N/m².
Converting into mpa,
1 Mpa = 10⁶ N/m²
So, the tensile stress is 1.6 Mpa.
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a tank can be filled using pipes a, b, or both. it takes pipe a, working alone, 10 hours to fill the tank. it takes both pipes, working together, 9.9 hours to fill the tank. how long does it take pipe b, working alone, to fill the tank? (strange answer i know)
A tank can be filled using pipes a, b, or both. it takes pipe a, working alone, 10 hours to fill the tank. it takes both pipes, working together, 9.9 hours to fill the tank. It take 9.8 hours pipe b working alone, to fill the tank.
We can do in this situation is figure out how long it takes both pipes to fill the tank on average.
So, we have:
Where T average = (tA + tB) / (2)
where
Where T aver = (tA + tB) / (2) average period (both pipes)
tA: duration of the pipe
tb: the duration of pipe B.
Changing the values:
T average = (tA + tB) / (2)
9.9 = (10 + tB) / (2)
tB = (2 x (9.9)) - 10
tB = 9.8 hours
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a long-jumper sets a personal best of 5.15 m in a jump for which the launch angle was 23.3 degrees above horizontal. what was the launch speed, in m/s?
The launch speed of the long-jumper would have been 18.1m/s when he sets his personal best.
The range of the long-jumper is 5.15m that is also said to be his personal best.
He launches at an angle of 23.3 degrees above the horizontal.
The launch speed of the jumper can be found by using the formula of horizontal range of projectile,
R = u²sin2A/g
Where,
R is the range,
A is the angle of launch,
g is the gravity,
u is the launch speed.
Putting values,
5.15 = u²(0.154)/9.8
u² = 5.15 x 9.8/0.154
u = 18.1 m/s
So, the launch speed of the long-jumper is 18.1m/s.
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i need answer for this question
The electric potential decreases when the charges are moved apart.
What is electric potential?Electric potential, also known as voltage, is a scalar quantity that represents the potential energy per unit charge that an electric charge would have in a given electric field. It is a measure of the electric potential energy available to do work on an electric charge when it is moved within an electric field.
Electric potential is an important concept in electromagnetism and electrical engineering, as it is related to the forces that electric charges experience in an electric field and is used to calculate the energy required to move charges in a circuit.
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If you throw a ball straight downward (in the absence of air resistance), after leaving your hand its acceleration is
Select one:
a. less than 10 m/s2.
b. greater than 10 m/s2.
c. 10 m/s2.
C. 10m/s^2 is the acceleration of ball when it is thrown straight downward in the absence of air resistance.
Is acceleration caused by falling gravity?Because gravity pulls in a downward direction, acceleration caused by gravity is generally perceived to be negative. The sky is in an upward direction and the ground is in the downward direction in the frame of reference from the surface of the Earth that is most commonly employed in physics.
What is a gravitational downward force?All objects on Earth encounter weight, or a gravitational pull that is proportional to their mass and is exerted by the planet's mass. The acceleration that gravity gives to objects falling freely functions as a gauge of its strength. The acceleration of gravity at Earth's surface is roughly 9.8 metres (32 feet) per second every second.
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A truck on a straight road starts from rest accelerating at 2.0m/s² until it reaches a speed of 20m/s. Then the truck travels for 20s at constant speed until the brakes are applied, stopping the truck in a uniform manner in an additional 5.0s. (a) How long is the truck in motion? (b) What is the average velocity of the truck for the motion described?
The distance travelled by the truck is 100 meter.
The average velocity of the truck is 10 m/s.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Initial speed of the truck is = 0 m/s.
Acceleration of the truck = 2.0 m/s²
Final speed of the truck is = 20 m/s.
Hence, distance travelled by the truck is = (20)²/(2×2) meter = 100 meter.
And the average velocity of the truck is = (0 + 20)/2 m/s = 10 m/s.
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A loop of wire is in a magnetic field directed into the plane of the page, as shown. The magnetic field begins to increase in magnitude. Which of the following best describes the electric field in the loop and provides evidence?No electric field is created in the loop, because the loop is entirely inside the magnetic field.A counterclockwise electric field is created in the loop, because the magnetic field is into the page.A clockwise electric field is created in the loop, because the magnetic field is into the page.A counterclockwise electric field is created in the loop, because the magnetic field is increasing into the page.EA clockwise electric field is created in the loop, because the magnetic field is increasing into the page.
A Counter Clockwise electric field will be generated as magnetic field to increasing Into the page
As the loop is placed in magnetic field directed in downward direction which began to increase the magnitude .Thus we can say flux through the loop will be increase as B is increasing hence an electromotive force ( or an electric field) will be Induced in the loop such that magnetic field.produced by loop will oppose the magnetic field.increase Thus electric field should induce in such a direction which will be opposite to the magnetic field The loop is situated thus if an Counter Clockwise electric field (went) is generated in the loop that will create magnetic field in upward direction which will oppose due to increasing magnetic field. increasing flux, in downward direction.Hence a Counter Clockwise electric field will be generated as magnetic field to increasing Into the page .
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r2r ladder dc source connected to input and output voltage measured at a b c d what are output at each point
To determine the output voltages at each point in a R-2R ladder digital-to-analog converter (DAC), it is necessary to know the specific circuit configuration and input values. Without these details, it is not possible to accurately determine the output voltages at points A, B, C, and D.
What is output voltage?The voltage emitted by a device, such as a voltage regulator or a generator, is referred to as the output voltage. Voltage regulators keep voltage levels steady. A fuel source, such as sunshine, coal, or nuclear energy, is used to power spinning turbines, which interact with magnets to create electricity. Because it is the voltage provided by a wall outlet, alternating current (AC) is also known as mains electricity, household current, domestic power, line power, or wall power. Worldwide, AC voltages range from 100 to 240 V. The rate of direction change is commonly 50 to 60 times per second and is indicated as Hertz (Hz) (Hz).
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if an object with amass of 1 kg weighs 8.9N on venus, what will the space traveĺler be on mass.
The weight of the space traveler on mars is 3.7 N.
What is the weight of the object on mars?
The weight of an object is the measure of force of gravity on the object.
The weight of an object increases with increase in acceleration due to gravity since the mass of an object is always constant.
Mathematically, the formula for weight is given as;
W = mg
where;
m is massg is acceleration due to gravityThe acceleration due to gravity on mars = 3.7 m/s²
The weight of the space traveler on mars is calculated as;
W = 1 x 3.7
W = 3.7 N
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5. The torque needed to open a factory-sealed jar is about the same as the torque required to turn the wheel on a passenger car. You know the force necessary to turn your car’s steering wheel is less than the force needed to open a jar. How can the torques be the same?
The torques can be the same if the force causes a turning through a larger distance for the steering wheel.
What is torque?
Torque is a measure of rotational force, or the force that causes an object to rotate about an axis or pivot point. It is typically represented as a vector quantity with units of Newton-meters (Nm) or pound-feet (lb-ft).
We know that the magnitude of the torque would have to do with the force and the distance that the force has turned and either of the values that we increase will increase the torque.
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A skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface. At what angle (theta) will the skier leave the sphere?
SOLUTION:
The angle (theta) at which the skier leaves the sphere is arc tan (ω).
The angle (theta) at which the skier will leave the sphere is determined by the conservation of angular momentum:
L = mvr = mr²ω,
where v is the skier's velocity, r is the radius of the sphere, and ω is the angular velocity of the skier.
By conservation of angular momentum, we have:
L = mr²ω = constant
Since the skier starts from rest, v = 0, and ω = 0. As the skier slides down the sphere, v increases, and ω decreases. Thus, to conserve angular momentum, theta must also decrease.
At the bottom of the sphere, v = rω, so the angle (theta) at which the skier leaves the sphere is:
theta = arc tan (v/r) = arc tan (rω/r) = arc tan (ω).
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A Soyuz spacecraft with a mass of 7,200 kg is departing from the International Space Station (ISS). The mass of the ISS is 420,000 kg. The table below shows the magnitude of the gravitational forces each object exerts on each other at various ranges:
Range Force on Soyuz Force on ISS
100 m 2.0 E−5 N 5.4 E−8 N
200 m 5.6 E−6 N 5.6 E−6 N
500 m 8.1 E−7 N 3.5 E−6 N
1,000 m 2.0 E−7 N 1.4 E−7 N
Which of the following table entries is correct for their interaction?
Group of answer choices
500 m
100 m
200 m
1,000 m
The correct table entry for the interaction between the Soyuz spacecraft and the ISS is "500 m", first option.
How to find Range force?The correct table entry for the interaction between the Soyuz spacecraft and the ISS at 500 m can be found by looking at the Range column in the table and finding the row where the range is 500 m.
In that row, the values for the "Force on Soyuz" and "Force on ISS" can be found. In this case, the values are 8.1 E−7 N and 3.5 E−6 N, respectively.
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What is the magnitude of the displacement of
the mass hanger H after a 0.20-kilogram mass
is loaded on it? [Assume the hanger is at rest in
both positions.]
A spring has an energy of 10.0 joules when stretched 0.200 metres from its equilibrium point.
How can you determine a spring's magnitude?The formula for calculating the force a spring produces is Fs=kx F s = k x where k is indeed an experimentally determined number known as the spring constant that indicates the force the spring exerts per metre of stretch or compression or x is indeed the distance the spring is compressed or stretched from its initial position.
Is there an equation for magnitude?|v| =(x2 + y2) is the formula to calculate the magnitude of the a vector (or two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.
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