the acceleration due to gravity near the surface of the moon is about one-sixth of the value near the earth's surface. if a rock were dropped from equal heights on the moon and earth, the time it would take the rock from the moon to hit the ground would be

Answers

Answer 1

The expression for time it would take the rock from the moon to hit the ground, [tex]t_m = \sqrt{6} t_e[/tex].

The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.

The Newton's second law says,

[tex]s = ut +\dfrac{1}{2}a t ^2[/tex]

This means acceleration is inversely proportional to square of time.

[tex]\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}[/tex]

where, [tex]a_e[/tex], [tex]a_m[/tex] is the acceleration at earth and moon respectively.

and, [tex]t_e[/tex], [tex]t_m[/tex] is the time at earth and moon respectively.

[tex]a_m = \dfrac{1}{6} a_e[/tex]

Hence, [tex]t_m = \sqrt{6} t_e[/tex].

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Related Questions

if both masses are tripled, what happens to the force?

Answers

If the mass of each object is increased by the a factor of three, the force will be multiplied by a factor of nine (3*3) if indeed the distance between both the objects is doubled and the mass of each object is tripled.

Describe a force example.

A force is a force that possesses the power to accelerate something. This can literally mean pushing anything to move it across the room, like a big piece of furniture. It might be more metaphorical, like depressing the gas pedal on a car.

Where do forces come from?

The interactions of two (or more) things result in forces. Each applies an equal but opposing power to the other. The object is propelled by external forces. The object's general motion is unaffected by an interior force.

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how does the law of superposition help determine the age of fossils compared to others?

Answers

The Law of Superposition, which states that in an undisturbed horizontal sequence of rocks, the oldest rock layers will be on the bottom, with successively younger rocks on top of these, helps geologists correlate rock layers around the world.

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in getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.26 m/s in 2.20 s. assuming that the player accelerates uniformly, determine the distance he runs.

Answers

The basketball player runs a distance of 12.54 meters to reach the speed of 6.26 m/s.

The average velocity of the basketball player can be calculated using the equation:

v = v0 + a * t

Where v is the final velocity, v0 is the initial velocity (0 m/s), a is the acceleration, and t is the time taken. We can rearrange this equation to solve for a:

a = (v - v0) / t = (6.26 m/s - 0 m/s) / 2.20 s = 2.83 m/s^2

Next, we can use the equation for distance travelled under constant acceleration:

d = v0 * t + 0.5 * a * t^2

Plugging in the given values, we get:

d = 0 * 2.20 s + 0.5 * 2.83 m/s^2 * 2.20 s^2 = 12.54 m

So the basketball player runs a distance of 12.54 meters to reach the speed of 6.26 m/s.

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when you take clothes out of the dryer right after it stops. the clothes often stick to your hands and arms. explain how the clothes acquires a charge

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Clothes acquire a charge when taken out of a dryer due to the triboelectric effect.

The triboelectric effect is the transfer of electrons from one material to another due to friction, pressure, or contact. In a dryer, clothes are subjected to friction as they rub against each other and the drum of the dryer, which can cause electrons to transfer from one material to another. Some materials, such as synthetic fibers, have a tendency to lose electrons and become positively charged, while others, such as natural fibers, have a tendency to gain electrons and become negatively charged.

When clothes are taken out of the dryer, the negatively charged fibers will tend to stick to positively charged objects, such as skin, due to the attraction between opposite charges. This is why clothes often stick to your hands and arms after being taken out of the dryer.

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what percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway?

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I couldn’t find this but it c I had it last night

a mouse sees a piece of cheese on a conveyor belt moving at 3 m/s. the mouse runs straight toward the cheese at 4 m/s. once on the conveyor belt, what is the speed of the mouse relative to the floor? a mouse sees a piece of cheese on a conveyor belt moving at 3 m/s. the mouse runs straight toward the cheese at 4 m/s. once on the conveyor belt, what is the speed of the mouse relative to the floor? 3 m/s 4 m/s 5 m/s 6 m/s 7 m/s

Answers

Once the mouse is on the conveyor belt, its speed relative to the floor will be 7 m/s, as the conveyor belt is moving at a speed of 3 m/s and the mouse is running at a speed of 4 m/s.

The speed of the conveyor belt relative to the floor is 3 m/s.The speed of the mouse relative to the conveyor belt is 4 m/s.The speed of the mouse relative to the floor is the sum of the speed of the conveyor belt relative to the floor and the speed of the mouse relative to the conveyor belt.Therefore, the speed of the mouse relative to the floor is 3 m/s + 4 m/s = 7 m/s.

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if you were to sketch a displacement-time graph and a speed-time graph for an object experiencing constant acceleration, what would they look like?

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The displacement-time graph for an object experiencing constant acceleration would be a parabolic shape, with the displacement increasing at an increasing rate over time. The speed-time graph for an object experiencing constant acceleration would be a linear graph, with the speed increasing linearly with time.

The displacement-time graph would not be linear although the speed-time graph would.

When a velocity-time graph of a motion with a changing, positive velocity is plotted, it produces a sloped line. Positive acceleration is shown in the line's positive slope. Additionally, only positive values for velocity are presented, signifying a motion with a positive velocity.

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if the bus needed to stop quickly, the driver could slam on the brakes. if the braking force was 24,000 n, how much distance would the bus need to stop? (recall that the bus has 576,000 j of ke before the brakes are applied.)

Answers

The required distance needed to stop the bus when kinetic energy of the bus is given is calculated to be 24 m.

The work done by the bus is nothing but the kinetic energy of the bus.

So, W = 576000 J

The force needed by the bus to stop quickly is F = 24000 N

You can write the work done as,

W = F s

where,

F is force

s is distance

Putting the values into the above equation, we have,

W = F s

576000 = 24000 × s

Distance s = 24 m

Thus, the distance needed by the bus to move and come to a stop is 24 m.

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in the experiment you used objects with masses that were not necessarily known. assume that it is determined that the mass of an object that produces a deformation of size 3, is 120 grams. what is the mass of an object that would produce 1 unit of deformation? group of answer choices 20 grams. 25 grams. 30 grams. 35 grams. 40 grams. 45 grams. 50 grams. 60 grams.

Answers

In the experiment, you employed objects whose masses weren't necessary known, and it took 40 grams of an object's mass to cause 1 unit of deformation.

What is the source of the gravitational force that is seen in falling objects?

Therefore, there must be another item that is, in a way, creating the gravity force in order for it to act on something like a falling object. What is the source of the gravitational force that is seen in falling objects? the entire planet earth.

What are some instances of experiment uncertainty?

Most experiments include measuring some quantities, then determining other quantities using the measured data. A room's length and width, for instance, could be measured in order to determine region by a multiple. Every measured quantity has a "measurement uncertainty" attached to it.

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Rank the following worlds by the strength of wind erosion currently operating on their surfaces, from greatest to least:
a. Mercury
b. Venus
c. Earth
d. Moon
e. Mars

Answers

The required rank is; a. Mars, b. Earth, c. Moon, d. Venus,e. Mercury

What is wind erosion ?

The natural process of wind erosion involves the movement of dirt from one place to another. Significant economic and environmental harm may result from it.

According to question:

Wind erosion is primarily caused by the combination of wind speed and wind duration. On Mars, wind speeds can reach up to 60 meters per second and has a thin atmosphere which allows it to erode the surface. Earth has strong winds in certain regions, but not enough to cause significant erosion.

The Moon and Venus have very little or no atmosphere, therefore no wind erosion occurs.

Mercury has a very thin atmosphere, but wind speeds are not enough to cause significant erosion.

Thus, required rank is;

a. Mars

b. Earth

c. Moon

d. Venus

e. Mercury

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Calculate the power required of a 1400kg car under the following circumstances a) The car climbs a 10° hill at a steady 80km/h and b) The car accelerates from 90 to 110km/h in 6.0s to pass another car on a level road. Assume the force of friction on the car is 700N in both parts of the problem.

Answers

(a) The power required for the car to climb the hill at a steady speed is 15.56 kW.

(b) The power required for the car to climb the hill at a changing speed is  19.44 kW.

What is the power required for the car to climb the hill?

The power required for the car the move the incline is calculated as follows;

When the speed is steady, the average speed is calculated as;

v = ( 80km/h + 80 km/h) / 2 = 80 km/h = 22.22 m/s

P = Fv

where;

F is the applied forcev is average speed

P = ( 700 N x 22.22 m/s )

P = 15,555.56 W = 15.56 kW

When the speed changes from 90 km/h to 110 km/h, the average speed is calculated as;

v = ( 90 km/h + 110 km/h ) / 2 = 100 km/h = 27.78 m/s

P = ( 700 N x 27,78 m/s )

P = 19,444.44 W = 19.44 kW

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two carts, each of mass 2.2 kg, collide on a frictionless track. before the collision, a has a velocity of 3.1 m/s east and b has a velocity of 5.4 m/s west. what is the velocity of cart b after the collision?

Answers

Answer:

The velocity of cart B after the collision can be determined using the law of conservation of momentum.

Momentum is conserved in an isolated system, meaning that the total momentum before the collision is equal to the total momentum after the collision.

Let's call the velocity of cart B after the collision "v". The initial momentum of the system is:

m_A * v_A + m_B * v_B = (2.2 kg) * (3.1 m/s) + (2.2 kg) * (-5.4 m/s) = 0

And the final momentum of the system is:

m_A * v_A + m_B * v = (2.2 kg) * (3.1 m/s) + (2.2 kg) * v = 0

Solving for v, we find:

v = 5.4 m/s

So the velocity of cart B after the collision is 5.4 m/s.

Which property does the Saffir-Simpson scale use to categorize hurricanes?(1 point) Responses storm diameter storm diameter storm surge storm surge wind speed wind speed water temperature water temperature

Answers

Answer: Might be a little late but the answer is wind speed

Explanation: Just took the quiz

The Saffir-Simpson scale categorizes hurricanes based on their maximum sustained wind speed.

What is Wind Speed property?

Wind speed is a measure of the speed of the movement of air, typically in kilometres per hour (kph) or miles per hour (mph). Wind speed is an important property of the atmosphere, as it influences the weather, climate, and the degree of turbulence experienced by aircraft. It is also an important property for the design of wind turbines and other wind energy systems. Wind speed is measured using an anemometer, which is a device that measures the force of the wind. Wind speed is used to determine the power output of wind turbines, to predict the weather, and to assess the risk of turbulence for aircraft.

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what are the units of k for a third order reaction?

Answers

The unit of a third-order reaction is mol-2L2s-1.

What are some examples of the order of reaction?

The total of the exponents that the concentration terms in the rate law are increased to determine the reaction's overall order. Take the products of the reaction aA+bB, for instance. Reactants A and B are in that sequence in the reaction, which is a and b, respectively. The reaction happens in the general order a+b.

Which reaction order's units of k are appropriate?

The overall reaction sequence affects the units of the rate constant, k. M/s, 1/s, and 1/(Ms) are the units of k for zero-order reactions, first-order reactions, and second-order reactions, respectively.

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on the surface of planet x an object has a mass of 22.5 kg and a weighs 63.5 n. what is the gravitational field strength on the surface?

Answers

Weight/mass = gravitational field strength is the formula. The gravitational fields of other planets differ in strength.

Why is uniform motion referred to as rapid motion?

When an object goes on a circular path at a constant speed, its magnitude of velocity remains constant. Only its orientation is always changing. As a result, it is classified as evenly accelerated motion.

Uniform linear motion is defined as traveling along a straight line at the same velocity. The magnitude or direction of the velocity varies in uniform circular motion, whereas magnitude and direction remain constant in uniform linear motion.

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Can you think of a scenario when the kinetic and gravitational potential energy could both be zero?

Answers

Answer:

An object not in motion (stationary) and at the 0 point.

Explanation:

If we define earth's surface to be the 0 point, and an object is stationary, it's kinetic energy is zero (no motion) as well as the gravitational potential energy.

a diver jumps into a pool (on earth) from a diving board 25 meters above the water. if it takes 3.30 seconds for her to reach the water, what was the vertical component of her velocity, in units of m/s?

Answers

The vertical component of her velocity, in units of m/s will be 32.54 m/s

To find the vertical component of velocity, we need to calculate the acceleration due to gravity. This can be done using the equation:

v = g * t

where we will have that  v is the vertical velocity, g is the acceleration due to gravity (9.8 m/s^2 on Earth), and t is the time taken to reach the water. Plugging in the given values, we get:

v = 9.8 * 3.30 = 32.54 m/s

So the vertical component of the velocity of the diver is 32.54 m/s.

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In three to five complete sentences, explain two ways God keeps a balance in nature. Remember
to use proper grammar and mechanics when writing your sentences

Answers

The earth and the skies were made by God. Before there was a man, there was the sun, moon, stars, wind, water, land, trees, fruit, grass, and animals.

How God keeps balance in Nature?

When God had finished creating all of these other things and determined that they were all good in His eyes, He then proceeded to make man.

In spite of the fact that God granted us dominion over all created things to control and tame them on our behalf, we humans are genuinely privileged because He made all of these things for His purposes and for His glory.

In the beginning, harmony and tranquility prevailed throughout all of nature.

Therefore, The earth and the skies were made by God. Before there was a man, there was the sun, moon, stars, wind, water, land, trees, fruit, grass, and animals.

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a thin glass rod is submerged in oil. what is the critical angle for light traveling inside the rod?

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A thin glass rod submerged in oil. Then the sensitive angle of light propagating inside the rod with a glass refractive index of 1.50 and oil refractive index of 1.46 is 72°.

The critical angle is the angle of incident light from the denser medium to the less dense medium whose angle of refraction is parallel to the boundary between the two media. When the angle of incidence is greater than the critical angle, the light will be reflected completely back into the water. This event is called a perfect reflection.

To find the size of this critical angle, you can use the following Snell's Law:

Φk = sin⁻¹ (n₂ n₁)

Where:

Φk = critical angle (degrees)

n₁ = refractive index of the denser medium

n₂ = refractive index of the less dense medium

In matter

n₁ = 1.50

n₂ = 1.46

So,

Φk = sin⁻¹ (n₂/ n₁)

Φk = sin⁻¹ (1.46/1.50)

Φk = sin⁻¹ (0.923)

Φk = 72°

Your question is incomplete but most probably your full question was:

A thin glass rod is submerged in oil. What is the critical angle for light traveling inside the rod? The index of refraction for glass is 1.50 The index of refraction for oil is 1.46.

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a 95.0 kg fullback moving south with a speed of 5.0 m/s has a perfectly inelastic collision with a 90.0 kg opponent running north at 3.0 m/s. a. calculate the velocity of the players just after the tackle. b. calculate the decrease in total kinetic energy as a result of the collision.

Answers

The velocity of the players just after the tackle  4.027 m/s  and the change in kinetic energy will be 92 J

The system's overall momentum is conserved in an inelastic collision because the two bodies travel at the same speed.

Assuming v as the final speed, we obtain the following by maintaining momentum:

(m + M)v = mu - MU

where

m = 95 kg is the fullback's mass

M = 90 kg is the opponent's mass.

u = 5 m/s for the fullback's pace

opponent's speed, U = 3 m/s

The opponent's momentum is negative since he must be travelling in the opposite direction from the fullback.

(m + M)v = mv + Mv

95×5 + 90×3 = (90 +95)v

205 = 185v

v = 4.027 m/s

Consequently, both players move at a 4.027 m/s speed.

Similarly final KE of the player

KE = 1/2 (m+M) V²

KE = 1/2 (95+90)x 4.027 ²

KE = 1500 J

so the change in KE will be

1592-1500 = 92 J

Thus the velocity of the players just after the tackle   4.027 m/s and the change in kinetic energy will be 92 J

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rank the following aqueous solutions from lowest predicted boiling point to highest. in the case of solutions containing aqueous ions, assume there is no ion clustering in the solution.Ist attempt See Periodic Table See Hint Question List (5 items) (Drag and drop into the appropriate area) Correct Answer List highest 167 mCH_OH 0.530 mNazSO4 No more items 0.475 mKaPO4 0.907 mKBr 0.722 mNHANOj

Answers

The highest overall concentration will result in the highest boiling point so the boiling points are: NH3NO4 < Na2SO4 < CH3OH < KBr < K3Po4

The solution with the highest overall concentration will have the lowest projected boiling point. So, 1.67M methanol is the first solution. Due to the fact that this does not divide into ions, its overall morality is also 1.67M. If the second solution is an aqueous one, then the concentration of sodium sulphate in it is 0.530M. Three sodium and sulphate ions will result from this separation. Therefore, the final molarity will be 1.59M (0.53 x 3). Three potassium and one phosphate ion are produced when 0.475M potassium phosphate is separated into solution number three. So, 1.90M = 0.475*4. KBr that's 0.907M, One potassium and one bromide species will emerge from this. The total molarity is 1.814M (0.907 x 2). We have an ammonium nitrate solution that, in accordance with the criteria for aqueous eligibility, entirely separates into two ions one ammonium and one nitrate. 0.722 x 2 = 1.444M is the total molarity.

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a box sits on a horizontal table. a string with tension t pulls to the right, but static friction between the box and the table prevents the box from moving. 1)what is the magnitude of the static frictional force acting on the box

Answers

Magnitude of the static frictional force acting on box is : c)T. Hence option c) is the correct answer. It is not moving therefore static friction needs to equal to force so that net force is zero.

What is static friction?

The force of friction on an object that is not moving is called as static friction. If you push on stationary block and it doesn't move, then it is being held by static friction which is equal and opposite to your push.

Force acting on an object is said to be static force if it does not change the size, position, or direction of the particular object. Force applied to a structure acts as load to that structure, which is why static force is also known as static load.

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Note: The question given on portal is incomplete. Here is the complete question.

Question: A box sits on a horizontal table. A string with tension T pulls to the right, but static friction between the box and the table prevents the box from moving.

1)What is the magnitude of the static frictional force acting on the box?

a) Mg

b) μMg

c) T

d) 0

quizket a copper wire that is 3.14 m long with a diameter of 2 cm has an electrical resistance of 10 ohms. if this wire is cut exactly in half (equal lengths), what is the electrical resistance of each wire piece?

Answers

After cutting the wire in half, the new length of each wire piece is 1.57 m. Each wired piece has an electrical resistance of 10 ohms.

The electrical resistance of a wire depends on its length and cross-sectional area. When a wire is cut in half, its length is halved while its cross-sectional area remains the same.

Using the formula for resistance:

R = ρ * L / A

=3.14 m / 2

= 1.57 m.

The cross-sectional area of each wire piece can be calculated as:

A = π * (diameter / 2)^2

A = π * (2 cm / 2)^2

A = π * (1 cm)^2

A = π cm^2

Plugging in the new values for length and area, we get:

R = ρ * 1.57 m / π cm^2

R = 10 ohms

Resistance is a term used in physics to describe the opposition of a material to the flow of an electric current. It is a fundamental concept in electrical engineering and is used to describe the behavior of electrical circuits and devices.

Resistance is typically measured in units of ohms (Ω) and is determined by the properties of the material, such as its composition and temperature, as well as its physical dimensions, such as its length and cross-sectional area.

In an electric circuit, resistance limits the flow of electric current, causing a drop in voltage and dissipating energy as heat. The amount of resistance in a circuit affects the amount of current that can flow through it, which in turn affects the operation of electrical devices. Resistance is an important factor in the design and operation of electrical systems, as it affects the efficiency and performance of devices, such as motors, transformers, and power supplies. It is also a key factor in the safety of electrical systems, as it helps to prevent dangerous overloading and short circuits.

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if the electric field is 108 n/c at a distance of 59 cm from a point charge q, what is the value of q (in c)? (enter the magnitude.)

Answers

If the electric field is 108 n/c at a distance of 59 cm from a point charge q,  the charge on the point charge is 9.98 x [tex]10^{-19}[/tex] Coulombs.

We can use the equation for the electric field produced by a point charge to find the charge:

E = k * q / [tex]r^{2}[/tex]

where,

E = the electric field, equal to 108 N/C

k = the Coulomb constant, equal to 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]

q = the charge

r = the distance from the point charge, equal to 59 cm = 0.59 m

Rearranging the equation to solve for q, we get:

q = E * [tex]r^{2}[/tex] / k

Plugging in the values, we get:

q = 108 N/C * [tex](0.59 m)^{2}[/tex] / 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex] )

q = 9.98 x [tex]10^{-19}[/tex] C

So the charge on the point charge is 9.98 x [tex]10^{-19}[/tex] C, or 9.98 x [tex]10^{-19}[/tex] Coulombs.

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a car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. the truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2. the automobile overtakes the truck after the truck has moved 60.0 m. a) t=7.56s b) how far was the car behind the truck initially? c) what is the speed of the truck when they are abreast? d) what is the speed of the car when they are abreast?

Answers

Each moves past the other at a pace of 15.876 meters per second.

A constant acceleration is defined.

How rapidly a particle's velocity varies in proportion to time is referred to as its "acceleration." When a subatomic particle velocity varies at a set rate, the change is referred to as constant acceleration.

A = v v 0 t does exist. This means that, for a certain period of time, is if difference between the and end velocity is small, the velocity is negligible and goes to zero in the limit when they are equal. Consider a particle moving uniformly around a circle; it accelerates since the motion's vector is changing, but it keeps its speed constant along perpendicular throughout the motion.

In this question, we'll be making use of

x - x₁ = v₁t + ½at²

The above equation is a modification of

x = vt + ½at²

Where x = distance

v = velocity of the body

a = acceleration of the body

t = time

x - x₁ = v₁t + ½at²

Assuming the starting point of the bodies x₁ = 0 which is at rest, the car sped past the truck at 60m.

x - x₁ = v₁t + ½at²

x₁ = 0

v₁ = 0

x = 60

a = 2.10

t = ?

60 - 0 = 0 × t = ½ × 2.10t²

Solve for t

60 = 1.05t²

t² = 60 / 1.05

t² = 57.14

t = √(57.14)

t = 7.56s

The time it took the car to over take the truck is 7.56s

b).From our previous equation,

x - x₁ = v₁t + ½at²

Same variable except

a = 3.40m/s² and t = 7.56s

60 - x₁ = 0 + ½ × 3.40 × 7.56²

60 - x₁ = 97.16

x₁ = 60 - 97.16

x₁ = -37.16m

The car was behind the truck by 37.16m or the truck was ahead of the car by 37.16m.

c).The initial speed of the car ?

v = u + at

u = 0m/s

a = 3.40m/s²

v = 0 + 3.40 × 7.56

v = 25.704m/s

The initial speed of the truck = ?

v = u + at

u = 0m/s

a = 2.10m/s

v = 0 + 2.10 × 7.56

v = 15.876m/s

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How does temperature change from planets to planets in our solar system?

Answers

The further a planet is from the Sun, the colder its surface temperatures tend to be. Venus is an exception, since it has the highest surface temperature in our solar system due to its close closeness to the Sun and its thick atmosphere.

What was the temperature of the solar system when the planets first formed?

The inner planets are rocky, whereas the outer planets are gaseous, which can be attributed to the early solar system's temperature. The solar system's temperature increased as the gases came together to create a protosun. Temperatures in the inner solar system reached 2000 K, whilst in the outer solar system, it was only 50 K.

The quantity of heat received is just one of many intricate aspects that go into determining the temperature.

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What is the total pressure exerted by a mixture containing two gases if the partial pressure of one gas is 70 torr and the partial pressure of the other gas is 30 torr? 100 torr40 torr70 torr30 torr

Answers

If one gas's partial pressure is 70 torr as well as the second gas's partial pressure is 30 torr, then the total force exerted by such a mixture including those two gases is 100 torr.

What is pressure and its SI unit?

Pressure is characterised as the thrust acting per unit area of a body (perpendicular force on a surface). Mathematically, it can be stated as follows: Pascal is the SI unit of pressure (Pa). One Pascal is the amount of pressure one Newton of force produces over a one-meter-squared surface. In addition, 1 P a = 1 N / m 2.

What type of energy is pressure?

Air pressure is described as that of the average energy transfer every unit area per unit time caused by molecular collisions between such a confined gas as well as its boundary in the kinetic theory for ideal gases. A surface's pressure can be expressed as the amount of force applied per square inch. Pressure P=F/A if normal Force is applied to area A.

Total pressure = 70torr + 30torr

=100torr.

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you are on a snorkeling trip. deep below the water, you look up at the surface of the water. right at sunset, at what angle from the vertical do you see the sun?

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When you are on a snorkeling trip. deep below the water, you look up at the surface of the water right at sunset, at a 48.59° angle to see the sun.

The crucial angle for total internal reflection is equal to the angle at which the sun appears when you are deep underwater and look up at the water's surface just before sunset.

In a clear material (like water), the critical angle is the angle of incidence when the angle of refraction is 90 degrees or greater. Beyond this critical angle, light cannot refract and is completely reflected into the denser medium (water) while it is traveling from a denser medium (water) to a less dense medium (air).

From the total internal reflection:

μ = sinθ

θ = sin⁻¹(μ)

Here, μ is the refractive index of water,

The angle is:

θ = sin⁻¹(1.333)

θ = 48.59°

Hence, when you are on a snorkeling trip. deep below the water, you look up at the surface of the water. right at sunset, at 48.59° angle to see the sun.

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what is the speed of the lander just before it touches the surface? the acceleration due to gravity on the moon is 1.6 m/s2 m / s 2 .

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The speed of the lander just before it touches the surface is 4.3 m/s.

What are the equations of motion?

A mathematical formula that explains the location, velocity, or acceleration of a body in relation to a specific frame of reference is known as an equation of motion. The basic equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, F = ma.

If the force acting on a body is known as a function of time, the velocity and position of the body as functions of time can potentially be deduced from Newton's equation via the integration method. A falling body, for example, accelerates at a constant rate, g. The rate of change of velocity with respect to time is defined as acceleration.

Position of lander above the surface, h = 5.5 m

Initial speed while coming downward of lander = 0.8 m/s

Acceleration due to gravity on the moon, g = 1.6 m/s^2

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by shaking one end of a stretched string, a single pulse is generated. the traveling pulse involves a transport of

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By shaking one end of a stretched string, a single pulse is generated. the traveling pulse involves a transport of energy and momentum.

The definition of energy is "capacity to do work, which is ability to apply force causing displacement of an object." Energy is just the force that moves objects, despite this definition's seeming complexity.

Potential and kinetic energy are the two different categories. The best approach to understand them is to think of potential energy as occurring before an action and kinetic energy as occurring during an action. Consider raising your physics textbook in the air. Simply due of its elevated elevation, it could fall. If you drop the textbook, the potential energy is transformed into kinetic energy, which is the energy that drives the movement.

momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.

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