Question

A sphere of mass 16kg moving with a velocity 4m/s strikes a spring of force constant
100N/m. The maximum compression of the spring is​

Answer 1

Answer:

1.6 m

Explanation:

Given data:

m = 16 kg

v = 4 m/s

k = spring constant = 100 N/m

Using law of conservation of energy here.

Energy of sphere = 1/2 * m * v²

E₁ = 0.5 * 16 * 4² = 0.5 * 16 * 16 = 0.5 * 16² J

Energy of spring = 1/2 * k * x²

E₂ = 0.5 * 100 * x²

Now E₁ = E₂

0.5 * 16² = 0.5 * 10² * x²

x² = (16/10)²

Taking square root.

x = 16/10 = 1.6 m

This is maximum compression of the spring.

Answer 2

Explanation:

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