Question

A 5.0-kg block suspended from a spring scale is slowly lowered onto a vertical spring (Figure 1) .

A 5.0-kg block suspended from a spring scale is slowly lowered onto a vertical spring (Figure 1) .Part A What does the scale read before the block touches the vertical spring? Part B If the scale reads 34N when the bottom spring is compressed 30 mm, what is k for the bottom spring? Part C How far does the block compress the bottom spring when the scale reads 0? Express your answer with the appropriate units. Enter positive value if the spring is stretched and negative value if the spring is compressed.

Part A

What does the scale read before the block touches the vertical spring?

Part B

If the scale reads 34N when the bottom spring is compressed 30 mm, what is k for the bottom spring?

Part C

How far does the block compress the bottom spring when the scale reads 0?

Express your answer with the appropriate units. Enter positive value if the spring is stretched and negative value if the spring is compressed.

Answer 1

a)Scale reads weight=5*9.8=49N

b)The vertical reaction for for bottom spring=49-34=15N

kx=15

k*0.03=15

k=500N/m

c)F=49N

x=49/500=-0.098m=-98mm