   Chapter 5, Problem 32P

Chapter
Section
Textbook Problem

A 50.-kg pole vaulter running at 10. m/s vaults over the bar. Her speed when she is above the bar is 1.0 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.

To determine
The altitude of the pole vaulter as she crosses the bar.

Explanation

Given Info:

The mass of the pole vaulter is 50.0kg .

The initial speed of the athlete is 10.0m/s .

The speed of the athlete when she is above the bar is 1.0m/s .

Since, the air resistance and any energy absorbed by pole are neglected;

The total energy of the athlete before valts over the bar is only the kinetic energy of the athlete.

Thus,

Ei=12mvi2+0

• m is the mass of the athlete
• vi is the initial velocity of the athlete

The total energy of the athlete after she valts over the bar is the sum of the kinetic energy of the athlete and the potential energy too.

So,

Ef=12mvf2+mgh

• vf is the velocity of the athlete when she valts over the bar
• g is acceleration due to gravity
• h is the altitude of the athlete as she crosses the bar

Now, using conservation of mechanical energy, on combining equation (I) and (II),

12mvi2=1

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