Question

A spring with a spring constant of 400 n / M has a mass hung on it so it stretches 8 cm. calculate how much mass the spring is supporting.

Answer 1

Answer:

3.3kg

Explanation:

Given parameters:

Spring constant = 400N/m

Extension  = 8cm  = 0.08m

Unknown:

Amount of mass the spring is supporting  = ?

Solution:

To solve this problem:

     F  = kE

F is the force

k is the spring constant

E is the extension

  So;

            F  = 400 x 0.08  = 32N

Mass;

       Force  = mass x acceleration due to gravity

          32  = mass x 9.8

  Mass = 3.3kg

Answer 2

The mass the spring is supporting is 3.27 Kg.

We'll begin by calculating the force acting on the spring.

• Spring constant (K) = 400 N/m

• Extension (e) = 8cm = 8 / 100 = 0.08 m

• Force (F) =?

F = Ke

F = 400 × 0.08

F = 32 N

Finally, we shall determine the mass. This can be obtained as follow:

• Force (F) = 32 N

• Acceleration due to gravity (g) = 9.8 m/s²

• Mass (m) =?

m = F / g

m = 32 / 9.8

m = 3.27 Kg

Therefore, the mass the spring is supporting is 3.27 Kg

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