A ball of mass 5.0 kg moving with speed of 2.0 m/s in the +x-direction hits a wall and bounces back with the same speed in the -x-direction. What is the change of momentum of the ball?
The change in momentum of an object can be calculated using the formula:
Change in momentum = Final momentum - Initial momentum
The momentum of an object is given by:
Momentum = Mass x Velocity
Given:
Mass of the ball, m = 5.0 kg,
Initial velocity of the ball, u = 2.0 m/s in the +x-direction,
Final velocity of the ball, v = -2.0 m/s in the -x-direction.
Initial momentum = Mass x Initial velocity
Final momentum = Mass x Final velocity
Substituting the given values into the formulas:
Initial momentum = 5.0 kg x 2.0 m/s = 10.0 kg·m/s in the +x-direction
Final momentum = 5.0 kg x (-2.0 m/s) = -10.0 kg·m/s in the -x-direction
Change in momentum = (-10.0 kg·m/s) - (10.0 kg·m/s)
Change in momentum = -20.0 kg·m/s
Therefore, the change in momentum of the ball is -20.0 kg·m/s.
To find the change in momentum, you need to calculate the initial momentum and the final momentum, and then find the difference between them.
The momentum of an object is given by the product of its mass and velocity. So, the initial momentum of the ball can be calculated using the formula:
Initial momentum = mass x initial velocity
Plugging in the values, we get:
Initial momentum = 5.0 kg x 2.0 m/s = 10 kg m/s
The ball bounces back with the same speed but in the opposite direction. This means the final velocity will be -2.0 m/s. Therefore, the final momentum can be calculated as:
Final momentum = mass x final velocity
Plugging in the values, we get:
Final momentum = 5.0 kg x (-2.0 m/s) = -10 kg m/s
Now, to find the change in momentum, you simply subtract the final momentum from the initial momentum:
Change in momentum = Final momentum - Initial momentum
Plugging in the values, we get:
Change in momentum = (-10 kg m/s) - (10 kg m/s) = -20 kg m/s
Therefore, the change in momentum of the ball is -20 kg m/s.
ball of mass 0.3 kg moving with a
speed of 6.0 ms-1strikes a wall at an
angle of 60° to the wall. It then
rebounds at the same speed and the
same angle. It is in contact with the
wall for 10 ms. Calculate the impulse
and the average force. 2 +2
(ii) A particle's kinetic energy