Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. the spring constant of spring 1 is 245 n/m. the motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. the magnitude of the maximum velocity is the same in each case. find the spring constant of spring 2.

1080 N/m

Explanation:

Given

Spring constant of first Spring

mass of both the system is same

Both system have same maximum velocity

if is general equation of SHM

then maximum velocity is given by

similarly

also

so

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.