Ablock attached to a spring with unknown spring constant oscillates with a period of 7.0 s. parts a to d are independent questions, each referring to the initial situation. what is the period if

a. the mass is halved?
b. the amplitude is doubled?
c. the spring constant is doubled?
d. the mass is doubled?

a) 4.95 s

b) 7.00 s

c) 4.95 s

d) 9.9 s

Explanation:

The equation for the period of the object is

T=2×π× ==7.0 s............................(1)

m= mass of the object

k= spring constant

For part (a)

m=

putting the value of m in equation (1)

T=4.95 s

For part (b)

the period does not depends on amplitude therefore

T=7.00 s

For part (c)

spring constant=2k

putting the value of spring constant in equation (1)

T=4.95 s

For part (d)

m= 2

putting the value of m in equation (1)

T=9.9 s

2

Explanation: