Answer:
89·539 N
Step-by-step explanation:
Given the mass of the ball = 1·93 kg
Assuming that motion in upward direction is taken as positive
Velocity just before collision = - 15·31 m/s
As velocity is negative, it means that velocity is in downward direction as we have assumed that motion in upward direction as positive
Force is defined as rate of change of momentum
Let the F be the force that the floor exert on the ball of clay
F = dp ÷ dt
where
dp is a small change in momentum
dt is a small change in time taken to cause dp
Here we can neglect force of gravity because the force that the floor will exert will be an impulsive force which means it is a large force which acts in a small interval of time
As this is a large force, the force of gravity will be negligible when compared to this large force
In this case
dp = d(m × v) = m × dv (∵ m is constant)
dv = final velocity - initial velocity = 0 - (-15·31) = 15·31 m/s
dp = 1·93 × 15·31 = 29·548 kg m/s
dt = 0·33 s
∴ F = 29·548 ÷ 0·33 = 89·539 kg m/s² = 89·539 N
As the force is positive, it means that force will act in upward direction
∴ The force that the floor exert on the clay = 89·539 N