EduNinjaA ball is thrown vertically down towards the ground with an initial velocity of . The ball falls for a time of 1.51 s before hitting the ground. Air resistance is negligible.
State and explain whether the collision the ball makes with the ground is elastic or inelastic.
A ball on horizontal ground is kicked towards a vertical wall. Fig. 2.1 shows the path of the ball.
Fig. 2.1 (not to scale)
The ball has an initial velocity u at an angle of to the ground. The ball travels a horizontal distance of 9.0 m before striking the wall at a height h above the ground. The horizontal component of the initial velocity of the ball is .
Air resistance is negligible.
The speed of the ball just after striking the wall is less than its speed just before striking the wall.
State what this indicates about the nature of the collision of the ball with the wall.
Two satellites in deep space collide inelastically.
What happens to the total kinetic energy and total momentum?
total
kinetic energy
total
momentum
conserved
conserved
conserved
reduced
reduced
conserved
reduced
reduced
What is the principle of conservation of momentum?
Force is equal to the rate of change of momentum.
Momentum is the product of mass and velocity.
The total momentum of a system remains constant provided no external force acts on it.
The total momentum of two bodies after collision is equal to their total momentum before collision.
Two train carriages each of mass 5000 kg roll toward one another on a level track. One is travelling at and the other at , as shown.
They collide and join together.
What is the kinetic energy lost during the collision?
1250J
7500J
11250J
12500J
The spring in (a) is used to join together two frictionless trolleys A and B of mass and respectively, as shown in Fig. 3.2.
Fig. 3.2
The trolleys rest on a horizontal surface and are held apart so that the spring is extended.
The trolleys are then released.
Explain why, as the extension of the spring is reduced, the momentum of trolley A is equal in magnitude but opposite in direction to the momentum of trolley B .
At the instant when the extension of the spring is zero, trolley A has speed and trolley B has speed .
Write down
1. an equation, based on momentum, to relate and ,
2. an equation to relate the initial energy E stored in the spring to the final energies of the trolleys.
1. Show that the kinetic energy of an object of mass m is related to its momentum p by the expression
2. Trolley A has a larger mass than trolley B.
Use your answer in (ii) part 1 to deduce which trolley, A or B, has the larger kinetic energy at the instant when the extension of the spring is zero.
A stationary firework explodes into three pieces moving in the same plane. The masses and the velocities of the three pieces immediately after the explosion are shown.
What are speeds and ?
4.0
4.0
9.2
9.2
14
14
16
16
Two balls P and Q , of equal mass, move along a straight line directly towards each other as shown.
Ball P has velocity to the right. Ball Q has velocity to the left.
P and Q collide with one another. The collision is perfectly elastic and the total momentum is conserved.
Which diagram correctly shows the motion of P and Q after the collision?
The raindrop reaches terminal velocity after falling approximately 10 m . On Fig. 1.1, sketch the variation with time t of velocity v for the raindrop. The sketch should include the first 5 s of the motion.
State, with a reason, whether the collision is elastic or inelastic.
Two balls of identical shape and size but different masses are falling through the same liquid.
The sum of the drag force and upthrust acting on each ball is equal to its weight.
Which statement about the two balls is correct?
The heavier ball has a larger acceleration than the lighter ball.
The heavier ball has a smaller deceleration than the lighter ball.
The heavier ball is falling at the same speed as the lighter ball.
The heavier ball is falling at a larger speed than the lighter ball.