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A toy car having mass m = 1.10 kg

 collides inelastically with a toy train of mass M = 3.80 kg.

 Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.45 m/s

 and the toy car is also moving in the positive x-direction with a velocity of vi = 4.95 m/s.

 Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.25 m/s.

(a) Determine Vf, the final velocity of the toy train.

 



(b) Determine the change ΔKE

 in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.



An object of mass 2 kg is launched at an angle of 30o above the ground with an initial speed of 40 m/s. Neglecting air resistance , calculate:

i. the kinetic energy of the object when it is launched from the  the ground.

 

ii. the maximum height attained by the object .

 

iii. the speed of the object when it is 12 m above the ground.

 


Bung Tie is running along a straight line. Assume that he starts from rest from point A and accelerates uniformly for T s, before reaching a speed  of 3 m/s. He is able to maintain this speed for 5 s. After that, it takes him 6 s to decelerate uniformly to come to a stop at point B. 

i. Sketch a speed versus time graph based on the information given above.

 

ii.Find the value of T if the distance between A and B is 100 m.

 

iii. Determine the deceleration.

 


A car accelerates from zero to a speed of 36 km/h in 15 s.

i.

Calculate the acceleration of the car in m/s2.

ii.

If the acceleration is assumed to be constant, how far will the car travel in 1 minute ?

iii.

Calculate the speed of the car after 1 minute.


1.   A 1-kg body of velocity 10m/s collides with a 2-kg body which is the rest .After collision, the two stick together. What is the velocity of the two bodies after collision?

 


There’s two rocks. On of them is at the height of 125m from earth and is going to start falling. The other was thrown up with a speed of 50 meters per second. When at what height will they meet? (Sorry if there are mistakes English isn’t my native language)


A car that weighs 7,000 N is accelerated from rest to a velocity of 25 m/s eastward by a force of 1,000 N. (a) What was the change in momentum of the car? (b) How long did the torce a to change the momentum of the car?



A closed container of cubic shape is 15 cm on a side contains four times Avogadro's number of molecules at a temperature of 20.0 degree celsius.Calculate the amount of force exerted by the gas on one of the walls of the vessel.



At temperature of 20 degree Celsius, the length of a copper rod is 30 cm with a mass of 250g .Ravi heats up the copper rod by supplying 5 kJ of heat .Determine the length of the rod(in cm) after being heated.

A 200 g whistle firecracker is set and fired horizontally in a straight line on top a smooth platform.

Its speed is 1.654 m/s in 0.35 seconds.

a) What is the momentum ?

b) The force in that time.


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