Question

4. Assume the mass (m = 0.045 kg) has a speed of 4.35 m/s at the bottom of the swing

(L = 0.65 m), how high above the bottom of the swing would the mass travel before pausing momentarily and then swing back the other way?

Answer 1

Taking the bottom of the swing as the gravitational reference

The total mechanical energy of the system when the mass is at the bottom.

Now, at the highest point, the velocity is zero. So, the energy at this point can be given by

The conservation of energy gives us

So, the answer to this part is 0.9654 m or 96.54 cm.