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Anonymous
Anonymous asked in Science & MathematicsPhysics · 2 months ago

# Physics Spring Scenario Question?

A compression spring is mounted horizontally as shown to the right. A crate, which has a mass of 8.5 kilograms, is placed against the spring with a force of 350 N. As a result the spring is compressed a distance of 50 cm. The force is then taken away so the spring uncompresses and pushes the crate along a horizontal, frictionless surface.

1) What is the spring constant k of this spring?

2) With the spring compressed at 50 cm:

a) How much elastic potential energy Us will be stored in the spring?

b) How much work W was done in compressing the spring?

c) What will be the velocity v of the crate after it has left the spring?

3) With the spring compressed at 100 cm:

a) How much force F would it take to compress the spring?

b) How much elastic potential energy Us will be stored in the spring?

c) How much work W was done in compressing the spring?

d) What will be the velocity v of the crate after it has left the spring?

Relevance
• oubaas
Lv 7
2 months ago

1) What is the spring constant k of this spring?

k = F/x = 350/0.5 = 700 N/m

2) With the spring compressed at 50 cm:

a) How much elastic potential energy Us will be stored in the spring?

Us = k/2*x^2 = 700/(2)*0.5^2 = 87.5 joule

b) How much work W was done in compressing the spring?

W = Us = 87.5 joule

c) What will be the velocity v of the crate after it has left the spring?

kx^2 = mV^2V = √ k*x^2/m = √ 700*0.25/8.5 = 4.54 m/sec

3) With the spring compressed at 100 cm:

a) How much force F' would it take to compress the spring?

F' = k*x' = 700*1 = 700 N

b) How much elastic potential energy U's will be stored in the spring?

U's = k^2*x'^2 = 350*1 = 350 joule

c) How much work W' was done in compressing the spring?

W' = U's = 350 joule

d) What will be the velocity v' of the crate after it has left the spring?

V' = √ k*x'^2/m = √ 700*1/8.5 = 9.08 m/sec

• Jim
Lv 7
2 months ago

U = 1/2 kx², insert numbers and solve for k

PE = KE

KE = 1/2 mv²

F = ma