Consider a simple horizontal spring and mass m on a frictionless surface. Which
ID: 1504266 • Letter: C
Question
Consider a simple horizontal spring and mass m on a frictionless surface. Which of the following statements is/are true? The larger the mass, the longer it takes to spring back. F The larger the mass, the larger the restoring force. T The larger the spring constant of the spring, the larger the restoring force (for a given mass displacement). F The larger the spring constant of the spring. the longer it takes to spring back. T The farther away the mass from its equilibrium position, the larger the restoring force. T The farther away the mass from its equilibrium position, the longer it takes to spring back. F Write TRUE or FALSE below. No explanation is needed and no points are deducted for a wrong answer.Explanation / Answer
1)
As the surface is frictionless, motion of the spring is independent of the mass of the block. Thus, the given statement is FALSE
2)
Restoring force depends on the spring constant and displacement of the mass. Thus, the given statement is FALSE.
3)
The restoring force is directly proportional to the spring constant. Thus, the given statement is
TRUE
4)
Time period is inversely proportional to square root of spring constant. Thus, the given statement is FALSE.
5)
The restoring force is directly proportional to the displacement. Thus, the given statement is
TRUE
6)
Time period is independent of the displacement of the block. Thus, the given statement is FALSE.