A projectile of mass m is fired horizontally with an initial speed of vo 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, vo, h, and g. (a) the work done by the force of gravity on the projectile W = (b) the change in kinetic energy of the projectile since it was fired AKE = (c) the final kinetic energy of the projectile KEF = (d) Are any of the answers changed if the initial angle is changed? Yes No

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Projectile Motion: Work, Kinetic Energy, and Angle Dependence**

A projectile of mass \( m \) is fired horizontally with an initial speed of \( v_0 \) 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 \( m \), \( v_0 \), \( h \), and \( g \).

1. **The work done by the force of gravity on the projectile**
   \[
   W = \boxed{}
   \]

2. **The change in kinetic energy of the projectile since it was fired**
   \[
   \Delta KE = \boxed{}
   \]

3. **The final kinetic energy of the projectile**
   \[
   KE_f = \boxed{}
   \]

4. **Are any of the answers changed if the initial angle is changed?**
   - Yes \( \circ \)
   - No \( \circ \)

In this exercise, students are asked to analyze and compute the effects of gravitational forces on a projectile under simplifying assumptions. It involves calculating work done, the change in kinetic energy, and final kinetic energy, while also considering whether the initial angle of projectile launch affects the results.
Transcribed Image Text:**Projectile Motion: Work, Kinetic Energy, and Angle Dependence** A projectile of mass \( m \) is fired horizontally with an initial speed of \( v_0 \) 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 \( m \), \( v_0 \), \( h \), and \( g \). 1. **The work done by the force of gravity on the projectile** \[ W = \boxed{} \] 2. **The change in kinetic energy of the projectile since it was fired** \[ \Delta KE = \boxed{} \] 3. **The final kinetic energy of the projectile** \[ KE_f = \boxed{} \] 4. **Are any of the answers changed if the initial angle is changed?** - Yes \( \circ \) - No \( \circ \) In this exercise, students are asked to analyze and compute the effects of gravitational forces on a projectile under simplifying assumptions. It involves calculating work done, the change in kinetic energy, and final kinetic energy, while also considering whether the initial angle of projectile launch affects the results.
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