Answer:
The impulse exerted on the ball is 180 N and the collision time is 0.15 seconds.
Step-by-step explanation:
a) The impulse exerted on an object can be calculated by multiplying the force applied by the time over which it is applied:
Impulse = Force * time
We can use the equation of motion to find the time of collision:
v = u + at
where v is the final velocity, u is the initial velocity (0 m/s in this case), a is the acceleration and t is the time of collision.
Combining these equations, we have:
Impulse = m * (v - u)
= m * a * t
= m * (v - 0) / t
= m * v / t
Plugging in the values, we have:
Impulse = 45 kg * 18 m/s / t
Dividing both sides of the equation by t, we have:
180 N = 45 kg * 18 m/s / t
Solving for t, we have:
t = (45 kg * 18 m/s) / 180 N
b) The collision time can be calculated by rearranging the above equation:
t = (45 kg * 18 m/s) / 180 N
t = 0.15 seconds
So the impulse exerted on the ball is 180 N and the collision time is 0.15 seconds.