Question

Which of the following statements best describes the characteristic of the restoring force in the spring-mass system described in the introduction?The restoring force is constant.The restoring force is directly proportional to the displacement of the block.The restoring force is proportional to the mass of the block.The restoring force is maximum when the block is in the equilibrium position

Answer 1

Answer : The restoring force is directly proportional to the displacement of the block.

Explanation :

Restoring force is defined as the force that is exerted by the spring due to its mass.

Mathematically, the restoring force can be written as :

$F\propto-x$

F = - k x

where,

k is the spring constant.

x is the displacement caused due to the mass.

Negative sign shows that the force is acting in opposite direction.

So, it is clear that the restoring force is directly proportional to the displacement of the block.

Hence, the correct option is (b) " The restoring force is directly proportional to the displacement of the block ".

Answer 2

The correct statement for the answer to the question is The style of recovery is directly proportional to the displacement of the block.

Further explanation

The restoring force is owned by every elastic object that is affected by the force so that the elastic object changes shape. The force that arises in an elastic object to pull back on an object attached to it is called the restoring force. As a result of the restoring force, the object will make a simple harmonic motion. Thus, in objects that perform simple harmonic motions, the restoring force always leads to the object's equilibrium point.

Spring is an example of an elastic object. Because of this elastic nature, a spring that is compressed or stretched will return to its equilibrium state. For example when a spring is given a compressive force, and then the compressive force is removed from the spring, the spring will automatically return to its original shape, from this it can be concluded that the force arising on the spring to restore its position to a state of equilibrium is called the restoring force on the spring.

The magnitude of the restoring force on a spring according to Robert Hooke is formulated as follows.

Fp = -k. Δy

A minus sign indicates that the recovery force is always in the opposite direction to the intersection.

The restoring force on springs is widely used in the fields of engineering and everyday life. For example, in-vehicle and spring shock breakers. Inside the shock breaker, there is a spring that serves to dampen vibrations when the vehicle wheels pass through uneven roads.

Learn more

The restoring force brainly.com/question/11511167, brainly.com/question/6945619

Details

Class: High School

Subject: Physics

Keyword: The restoring force on a spring.