Question

An apple bruises if a force greater than 8.0 N is exerted on it.Would a 0.10-kg apple be likely to bruise if it falls 2.0 m and stops after sinking 0.060 m into the grass?Assume the deceleration of the apple during the sinking is constant. What is the magnitude of the force the ground exerts on the apple in this case?

Answer 1

Answer:

Magnitude of force = F = 33.64 N

The magnitude of the force exceeds the maximum force 8 N which apple can bear without being bruises. So, Apple will damage when it falls from 2.0 m.  

Explanation:

m = 0.10 kg

h = 2.0 m

x = 0.06 m  

According to work energy principle:

Change in potential energy = work done by grass  

mg(h+x) = F.x

(0.10)(9.8)(2+0.06) = F×0.06

F = 33.64 N

Hence, apple will bruise.