Ablock oscillating on a spring has period t1 = 2.38s . note that you do not know the value of either m or k, so do not assume any particular values for them. the required analysis involves thinking about ratios.
part a: what is the period if the block's mass is doubled?
part c: the value of the spring constant is quadrupled?
part e: the oscillation amplitude is doubled while m and k are unchanged?

(a) T = 1.41 T₁ = 3.36 s

(b) T = 0.5 T₁ = 1.19 s

(e) The amplitude does not depend on the variation of m and k.

Explanation:

The period of a block oscillating on a spring is giving by the next equation:

(1)

where m: block's mass, and k: spring constant

(a) If the block's mass is doubled, the period will be:

So, the period increase with the increase of the mass.              

(c) If the value of the srping constant is quadrupled, from equation (1):

The period decrease with the increase of the spring constant.          

(e) The oscillation amplitude does not have a relation with m and k, and hence with the period, so if the m and k change or not, the amplitude is the same as the start.                

Have a nice day!

e

explanation:

there is no change in the electric potential energy as it is in rest on both conditions.

beta is electron from nucleus

something from nucleus has changed, but charge must be same for cons of charge