Spring Force MCQ - Practice Questions with Answers

A spring whose unstretched length is I has a force constant k. The spring is cut into two pieces of unstretched lengths $l_1$ and $l_2$ where $l_1=n l_2$ and n is an integer. The ratio $k_1 / k_2$ of the corresponding force constants, $k_1$ and $k_2$ will be:

Block A is released from rest when the spring is at its natural length, for the block B of  mass M to leave contact with the ground at some time, the minimum mass of A must be :

$\begin{aligned}
&\text { Equilibrium extension } a=0\\
&m g=T=k x_{\mathrm{eq}}
\end{aligned}$

Two blocks of mass 2kg are connected by a massless ideal spring of spring constant K = 10N/m. The upper block is suspended from the roof by a light string A. The string A is now cut, the acceleration of upper block just after the string A is cut will be (g = 10 m/s²).

The block A is released from rest when the spring is at its natural length. For the block of mass to have contact with the ground at sometime, the minimum mass of A on rest be.

In Series combination, the effective spring constant is given by

A spring is compressed by 0.2 m, and it exerts a force of 10 N. What will be the force exerted by the spring if it is compressed by 0.4 m?

A block of mass 1 kg is placed over a frictionless bar as shown in the figure. Initially, the block was at rest, and spring was in its natural length. If a horizontal bar starts rotating about a vertical axis about its one end with constant angular velocity of 10 rad/s. Then the required spring constant to keep the block in equilibrium: