   Chapter 5, Problem 30P

Chapter
Section
Textbook Problem

A projectile of mass m is fired horizontally with an initial speed of v0 from a height of h above a flat, desert surface. Neglecting air friction, at the instant before the projectile hits the ground, find the following in terms of m, v0, h, and g: (a) the work done by the force of gravity on the projectile, (b) the change in kinetic energy of the projectile since it was fired, and (c) the final kinetic energy of the projectile. (d) Are any of the answers changed if the initial angle is changed?

(a)

To determine
the work done by the force of gravity on the projectile.

Explanation

Given Info:

The mass of the projectile is m .

The initial speed of the projectile is v0

The height of the flat is h .

The work done by the force of gravity on the projectile is equal to the change in gravitational potential energy,

Wg=(PEfPEi)PEiPEf=(mg

(b)

To determine
The change in kinetic energy of the projectile since it was fired.

(c)

To determine
The final kinetic energy of the projectile.

(d)

To determine
whether any of the answers above change if the initial angle is changed.

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