Using a machine can speed up work very quickly as machines are way faster than humans. Machines also do not get exhausted unlike humans so can work over a long period of time non stop.
Answer:
t = T/4
Explanation:
The power delivered to the mass by the spring is work done by the spring per second.

The work done by the spring is equal to the elastic potential energy stored in the spring.

The maximum energy stored in the spring is at the amplitude of the oscillation.

So the first time the mass reaches to its amplitude can be found by the following equation of motion:

When the mass reaches the amplitude:

because cos(π) = 1.

Using ω = 2π/T,

Answer:
,
(before collision),
(after collision).
Explanation:
The total momentum is obtained using the Principle of Momentum Conservation:

It is trivial to find that final speed and total momentum of the system are zero:

The total kinetic energy of the system becomes zero due to the inellastic collision and the same masses and speeds. Total kinetic energies before and after collision are, respectively:


Answer:
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Mass does not affect the pendulum's swing. The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period