8 Spring and Inclined Plane A 3 kg block is held against a spring with spring co

ID: 2261093 • Letter: 8

Question

8 Spring and Inclined Plane

A 3 kg block is held against a spring with spring constant k = 25 N/cm, compressing the

spring 3 cm from its relaxed position. When the block is released, the spring expands and

pushes the block upward along a rough surface incline at a 20 degrees angle (see gure, but

ignore the second sketch from the bottom). The coecient of kinetic friction between the

block and the surface is k = 0:1. The works done on the block by friction Wf , by the spring

Ws, and by gravity Wg as it extends from the compressed to the equilibrium position are

Figure 4: For problem 'Spring and Inclined Plane'

1. Wf = -85J; Ws = -1:1J; Wg = -0:2J

2. Wf = -0:085J; Ws = 1:1J; Wg = -0:31J

3. Wf = -0:85J; Ws = 2:2J; Wg = -0:5J

4. Wf = -0:1J; Ws = 0:01J; Wg = -0:31J

Given:
m = mass of block = 3.0kg
k = spring constant = 25N/cm = 2500N/m
A = initial compression = 3cm = 0.03m
? = angle of the ramp = 20

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.