A ball of mass 0.1 is thrown against a wall. It strikes the wall normally with a velocity of 30 meter per second and rebounds with a velocity of 20 m/s. Calculate the change in momentum of the ball.
M*(V2-V1) = 0.1(-20-30) = -5 = The Change in momentum
To calculate the change in momentum of the ball, you need to subtract the initial momentum from the final momentum. The momentum of an object is given by the product of its mass and velocity.
Given:
Mass of the ball (m) = 0.1 kg
Initial velocity (u) = 30 m/s
Final velocity (v) = -20 m/s (Note: The negative sign indicates the opposite direction)
The initial momentum (p1) is given by:
p1 = m * u
The final momentum (p2) is given by:
p2 = m * v
To find the change in momentum, you subtract the initial momentum from the final momentum:
Change in momentum = p2 - p1
Let's calculate the change in momentum step by step:
Step 1: Calculate the initial momentum (p1):
p1 = 0.1 kg * 30 m/s
p1 = 3 kg*m/s
Step 2: Calculate the final momentum (p2):
p2 = 0.1 kg * (-20 m/s)
p2 = -2 kg*m/s
Step 3: Calculate the change in momentum:
Change in momentum = p2 - p1
Change in momentum = -2 kg*m/s - 3 kg*m/s
Change in momentum = -5 kg*m/s
Therefore, the change in momentum of the ball is -5 kg*m/s. Since momentum is a vector quantity, the negative sign indicates a change in direction.