Question

You expect a hypothetical physical quantity that has units of to be proportional to momentum. What kind of quantity might the constant of proportionality be?

a velocity

an acceleration

a force an angular momentum

If you pull a mass attached to a spring 1.00 cm farther from equilibrium before letting it go, the mass will, in the oscillation that follows,

travel a distance 4.00 cm greater each cycle, or full oscillation.

take a longer time to complete a cycle, or full oscillation. do both of the above.

do neither of the first two things.

Answer 1

(1) Power is a physical quantity that is proportional to momentum of an object.

Unit of power is : J / s.

Momentum has unit of kg.m / s.

The hypothetical quantity has unit of J / s = kg.m² / s³.

Now, ( kg.m / s ) x ( m / s² ) = kg.m² / s³.

Now, m / s² is unit of acceleration.

Hence, the constant of proportionality may be : An acceleration.

(2) The mass will oscillate with an amplitude of 1 cm, i.e., it will cover a distance 1 cm on either side of the equilibrium point.

Hence, for full cycle, it will cover a total of 2 x ( 1 + 1 ) cm = 4 cm, with consuming a longer time than travelling just 1 cm.

Hence, the correct option is : Do both of the above.