Amass is attached to a vertical spring. the mass exhibits simple harmonic motion between points a and b. which of the following statements are true? check all that apply. the mass is located midway between points a and b when its potential energy is at maximum. the mass is located at either point a or b when its kinetic energy is at minimum. the mass is located midway between points a and b when its kinetic energy is at maximum. the mass is located at either point a or b when its potential energy is at minimum.

The mass is located midway between points A and B when its kinetic energy is at maximum.

The mass is located at either point A or B when its potential energy is at minimum.

Explanation:

The mass is moving by simple harmonic motion. A and B represent the points of maximum displacement of the spring-mass system. The total mechanical energy of the system is sum of elastic potential energy (U) and kinetic energy (K):

where

k is the spring constant

x is the displacement (with respect to the equilibrium position)

m is the mass

v is the speed

Due to the conservation of energy, the total mechanical energy E must be constant. This means that:

- When the displacement (x) is maximum (so, at either A or B), the potential energy is maximum, while the kinetic energy is at minimum

- When the displacement (x) is zero (so, at midway between points A and B), the potential energy is at minimum, while the kinetic energy is at maximum

Therefore, the two correct statements are the last two:

- The mass is located midway between points A and B when its kinetic energy is at maximum.

- The mass is located at either point A or B when its potential energy is at minimum.

true tan speed = ang vel x radius

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.