The displacement in simple harmonic motion is a maximum when thea) acceleration is zero. d) kinetic energy is a maximum. b) velocity is a maximum. e) potential energy is a minimum. c) velocity is zero.

C) velocity is zero.

Explanation:

In a simple harmonic motion, the total mechanical energy of the system (which remains constant in absence of friction) is given by the sum of the elastic potential energy (U) and the kinetic energy (K) at any moment of the motion:

where

k is the spring constant

x is the displacement

m is the mass

v is the speed

Since E is a constant number, we immediately see from the formula that, when U increases, K decreases, and viceversa. Therefore, the maximum displacement (maximum x), which corresponds to the maximum potential energy U, will occur when K (kinetic energy) is zero. But K=0 means v=0, so when the velocity is also zero.

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas