an 8 kg ball rolling at 2m/s bumps into a pillow and stops in 0.5s. Show that the force exerted by the pillow is 32N. How mych force does the ball exert on the pillow?
force*time=mass*changeinvelocity
solve for force.
The ball exerts the same force on the pillow.
To solve this problem, we will use the equation for calculating force, which is given by Newton's second law of motion: F = m * a.
Given:
Mass of the ball (m) = 8 kg
Initial velocity of the ball (u) = 2 m/s
Final velocity of the ball (v) = 0 m/s (since it stops)
Time taken (t) = 0.5 s
First, let's find the acceleration of the ball using the formula: a = (v - u) / t.
Calculating the acceleration:
a = (0 - 2) / 0.5
a = -2 / 0.5
a = -4 m/s^2 (note that the negative sign indicates deceleration)
Next, using Newton's second law (F = m * a), we can calculate the force exerted by the pillow on the ball:
F = m * a
F = 8 kg * (-4 m/s^2)
F = -32 N
The negative sign indicates that the force exerted by the pillow is in the opposite direction of the initial motion of the ball.
Now, to determine the amount of force that the ball exerts on the pillow, we need to consider Newton's third law of motion, which states that every action has an equal and opposite reaction.
Therefore, the force exerted by the ball on the pillow is also 32 N, but in the opposite direction of the force exerted by the pillow on the ball.