A body in simple harmonic motion has a displacement x that varies in time t according to the equation x = 5cos(π t + π/3) , where x is in cm and t is in seconds. What is the frequency of the oscillation?

1/2 Hz

Explanation:

A simple harmonic motion has an equation in the form of

where A is the amplitude, is the angular frequency and is the initial phase.

Since our body has an equation of  x = 5cos(π t + π/3) we can equate and solve for frequency f

f = 1/2 Hz

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.