A 5000-N force compresses a steel block by 0.0025 cm. How much force, applied over the same area, would be needed to compress the block by 0.0125 cm?
A) 5,000 N
B) 25,000 N
C) 1,000 N
D) 2,500 N

Question

A  5000-N  force compresses a steel block by  0.0025 cm. How much force, applied over the same area, would be needed to compress the block by  0.0125 cm?
A)  5,000 N
B)  25,000 N
C)  1,000 N
D)  2,500 N

Quizplus · Accepted Answer

The relationship between force and compression in this context is linear (Hooke's Law), so compressing the block 5 times more (from 0.0025 cm to 0.0125 cm) requires 5 times more force. Thus, 5,000 N * 5 = 25,000 N.

A 5000-N Force Compresses a Steel Block by