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 230 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.

Explanation:

Given that,

The spring constant of spring 1,

The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2,

As the magnitude of the maximum velocity is the same in each case, it means the maximum kinetic energy is same in each case. In other words, the total energy is same.

So, the spring constant of spring 2 is 920 N/m. Hence, this is the required solution.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.