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?

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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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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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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C. 10m/s^2 is the acceleration of ball when it is thrown straight downward in the absence of air resistance.

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.

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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The distance from the positive plate at which the two pass each other is  2.39 μm.

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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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.

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.

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.

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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The deceleration of the car is  8.8 m/s^2.

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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The torque applied on the rotating rod is 30 N-m.

The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction.

Applied force = 60 N

distance = 1.0 m

the force on the lever is exerted at an angle of 30°

sin 30° = 0.5

Hence, the torque applied on the rod = force × distance × sin30°

= 60 N × 1.0 m × 0.50

= 30 N-m.

Hence,  the torque applied on the rotating rod is 30 N-m.

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The frequency is the inverse of time period of a wave and the time period of a wave is the time taken divided by number of cycles or wave.

A wave is a propagating dynamic disturbance of different quantities. Frequency is the number of waves which are passing by a specific point of time per second. And, time period is the time which the wave takes for one wave cycle to complete.

Frequency of a wave can be calculated by reciprocal of time taken.

Frequency of a wave = 1/ Time period

The time period is the time in which one wave.

9. The time period of the wave = Time taken/ Number of waves or cycles

Time period = 4/ 8

Time period = 1/2 or 0.5 sec

Frequency of a wave = 1/ T

Frequency of a wave = 1/ 0.5 = 2⁻¹

10. The time period of the pendulum's oscillations = 4/ 12 = 1/3 = 0.33 sec

The frequency of the pendulum's oscillations = 3.03 sec⁻¹

11. Speed of a wave = wavelength of a wave × frequency of the wave

Speed of a wave = 3 × 2

Speed of a wave = 6 meters per second

12. Wavelength of the wave will be the ratio of speed of the wave and frequency of the wave.

Wavelength (λ) = Speed of the wave (v)/ frequency of the wave (f)

Wavelength = 340/ 20

Wavelength = 170 meters

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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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The constitution can be changed by passing an amendment. Option D

The Constitution of a country outlines the fundamental principles and laws that govern the country and defines the powers and responsibilities of the government. The process for changing the Constitution, also known as constitutional amendment.

The process for changing the Constitution can be complex and time-consuming, and it often requires broad consensus among the political leaders and the citizens of the country. The difficulty of the process is intended to ensure that changes to the Constitution are made thoughtfully and with the support of the majority of the people.

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Make observations and experiments to test the hypothesis' predictions. A hypothesis is an explanation that is put forth for a set of measurements.

It is the procedure scientists employ to produce a model of the cosmos that is as precise, consistent, dependable, and non-arbitrary as is practical. Various theories are put forth by scientists. Through these experiments, the undesirables are eliminated.

Four fundamental forces control all interactions in the universe. On a global scale, gravity and electromagnetic forces are in charge, while the strong and weak forces regulate the microscopic world of the atomic nucleus.

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The histogram provided as an example is the correct relative frequency histogram for the length of sixty tornadoes using a lower class limit of 0 and a class width of 5.

To draw a relative frequency histogram for the length of sixty tornadoes using a lower class limit of 0 and a class width of 5, you will need to first count the frequency for each class.

This can be done by counting the number of tornadoes in each class and then dividing by the total number of tornadoes. The frequency for each class is then used to calculate the relative frequency.

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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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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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The electric potential decreases when the charges are moved apart.

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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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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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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Because the coulomb force between two charges A and B is the same.

Any two charges are subjected to equal and opposing forces.

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

The required force has to be applied on the object is 90000 Newton.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

The pressure applied on the object = 6000 Pa

The surface area of the object = 15 m²

Hence, the required force applied on the object = 6000 × 15 Newton.

= 90000 Newton.

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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.

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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The weight of the space traveler on mars is 3.7 N.

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;

The 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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Viewed from somewhere in space above the Earth’s north pole, the Earth’s equator have a positive angular velocity.

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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We would need to increase the distance that is turned so as to have the same torque on the steering wheel

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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The correct table entry for the interaction between the Soyuz spacecraft and the ISS is "500 m", first option.

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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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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At the initial position Total Energy is 720J. Energy 2.75 m above the initial position is 852.5J.

The potential energy of an object can be calculated using the equation:

PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s²), and h is the height above a reference point.

The kinetic energy of an object can be calculated using the equation:

KE = 0.5mv², where m is the mass and v is the velocity.

The total energy of the system can be found by adding the potential and kinetic energy.

a. At the initial position:

PE = mgh = (50.0 g) x 9.8 m/s² x 0 m = 0 J

KE = 0.5mv² = 0.5 x (50.0 g) x (12 m/s)² = 720 J

Total Energy = PE + KE = 0 J + 720 J = 720 J

b. 2.75 m above the initial position:

PE = mgh = (50.0 g) x 9.8 m/s² x 2.75 m = 132.5 J

KE = 0.5mv² = 0.5 x (50.0 g) x (12 m/s)² = 720 J

Total Energy = PE + KE = 132.5 J + 720 J = 852.5 J

Energy is a property of matter that allows it to do work. It can exist in various forms, including kinetic energy (the energy an object has due to its motion), potential energy (the energy an object has due to its position or state), thermal energy (the energy of a substance due to its temperature), and electromagnetic energy (energy associated with light, radio waves, and other forms of electromagnetic radiation). Energy can also be transformed from one form to another, such as converting chemical energy into kinetic energy through combustion.

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Answer:They all are water

Explanation:

Answer:

Officiellement il n'existe aucune différance entre un lac et un étang se qui fait que les deux contiennent de l'eau douce  

Explanation:

Voila j'espère que je t'ai aider!

Answer:

its true

Explanation: