Pam has a mass of 40Kg and she is at rest on smooth, level, frictionless ice. Pam Straps on a rocket pack. The rocket supplies a constant force for 22m and Pam acquires a speed of 62 m/s.

A) What is the magnitude of the force?

B) What is Pam's final Kinetic Energy?

First compute the time t that the force acts.

Vaverage*t = Vfinal*t/2
= (31 m/s)*t = 22 m
t = 0.7097 s
a = Vfinal/t = 62/0.7097 = 87.4 m/s^2
F = M a = ?
Final KE = (1/2) M Vfinal^2
(That part ie easy!)

To: DRWLS,

I got 3500 Newtons for part A? What am I doing wrong?

I get about the same answer for Part A.

I did not use time in my equation. I used Force * Distance= change KE for Part A and got the 3500 Newtons.

What am I doing wrong?

There is nothing wrong with your answer or method that I can see. I got the same answer (to three significant fgures) with a different method.

just do it lol.

To answer these questions, we need to apply the concepts of Newton's second law of motion and the formula for kinetic energy.

A) To find the magnitude of the force exerted by the rocket pack, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, since the force is constant, we can assume that the acceleration is also constant.

1. Calculate the acceleration: We can use the equation of motion, v² = u² + 2as, where v is the final velocity, u is the initial velocity (which is 0 since Pam is at rest), a is the acceleration, and s is the distance covered. Rearranging the equation, we get a = (v² - u²) / (2s).

a = (62 m/s)² / (2 * 22 m)
a ≈ 95.545 m/s²

2. Calculate the force: Now that we have the acceleration, we can use Newton's second law of motion to find the force.

F = m * a
F = 40 kg * 95.545 m/s²
F ≈ 3821.8 N

Therefore, the magnitude of the force exerted by the rocket pack is approximately 3821.8 Newtons.

B) To find Pam's final kinetic energy, we use the formula for kinetic energy: KE = 0.5 * m * v², where KE is the kinetic energy, m is the mass, and v is the velocity.

KE = 0.5 * 40 kg * (62 m/s)²
KE ≈ 77040 J

Therefore, Pam's final kinetic energy is approximately 77040 Joules.