Question

a simple pendulum, 3 m in length, is released with a push when the support string is at an angle of 30 degrees force vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, what is its speed at the swing.

A parachutist of mass 50kg jumps out of an airplane at a hight of 1000m. The parachute deploys, and he hits the ground with a velocity of 5m/s. Find the average resistance on the parachutist.

Answer 1

PART A :

• Initial energy :

• Final energy :

• Using the principle of conservation of energy, we have :

ANSWER : THE VELOCITY OF THE PENDULUM IS 3.05m/s

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PART B:

Information provided :

• m=50kg
• h=1000m
• u=0
• v=5m/s

We know from the work energy theorem that :

• Here, the change in energy is :

This will be equal to the work done.Thus :

ANSWER : Thus, the average resistance on the parachutist is 489.375 N