Question

A spring has a spring constant of 50N/m. It is placed vertically and a 1kg mass is placed on top of it. The compression produced in the spring by this mass is?

Answer 1

Answer on Question #48544 – Physics – Mechanics | Kinematics | Dynamics

1. A spring has a spring constant of $50\mathrm{N/m}$. It is placed vertically and a $1\mathrm{kg}$ mass is placed on top of it. The compression produced in the spring by this mass is?

where a spring constant $k$ is the proportionality factor.

Thus, the compression produced in the spring is $\Delta x = \frac{mg}{k}$.

Let check the dimension: $\left[\Delta x\right] = \frac{m \cdot \frac{kg}{m^2}}{\frac{N}{m}} = \frac{N}{\frac{N}{m}} = m$.

Let evaluate the quantities: $\Delta x = \frac{1 \cdot 9.8}{50} = 0.196(m)$.

Answer: $19.6\mathrm{cm}$

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