A60.0-kg and a 90.0-kg skydiver jump from an airplane at an altitude of 6.00×103m , both falling in a headfirst position. make some assumption on their frontal areas and calculate their terminal velocities. how long will it take for each skydiver to reach the ground (assuming the time to reach terminal velocity is small)? assume all values are accurate to three significant digits.

Solution:

As per the question:

Mass of the skydiver 1 = 60.0 kg

Mass of the skydiver 2 = 60.0 kg

Altitude, H =

Now,

To calculate the terminal velocities of the skydivers:

We know that the drag force equals the weight of the diver and the net force acting on the body of the divers is zero as the body has constant velocity.

This velocity is the terminal velocity of the body.

Now,

Using the law of conservation of energy:

Potential Energy, PE = Kinetic Energy, KE

Thus

Now,

The time taken by each skydiver to reach the ground is given by:

where

u = initial velocity = 0 m/s

Thus

t = 34.99 s

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.