A 22 kg girl slides down a playground slide that is 3.6 m high. When she reaches the bottom of the slide, her speed is 1.7 m/s.

The acceleration of gravity is 9.81 m/s2. How much energy was dissipated by fric-tion?
Answer in units of J

(P.E. loss) - (K.E. gain)

= M*(g*H - Vfinal^2/2]
= _____ J

To calculate the energy dissipated by friction, we need to first determine the potential energy the girl has at the top of the slide and the kinetic energy she has at the bottom of the slide. The difference between these two energies will give us the energy dissipated by friction.

1. Calculate the potential energy at the top of the slide:
Potential Energy (PE) = mass (m) * gravity (g) * height (h)
PE = 22 kg * 9.81 m/s^2 * 3.6 m

2. Calculate the kinetic energy at the bottom of the slide:
Kinetic Energy (KE) = 0.5 * mass (m) * velocity^2
KE = 0.5 * 22 kg * (1.7 m/s)^2

3. Subtract the kinetic energy from the potential energy to find the energy dissipated by friction:
Energy Dissipated = PE - KE

Now let's calculate the values:

PE = 22 kg * 9.81 m/s^2 * 3.6 m
PE = 782.04 Joules

KE = 0.5 * 22 kg * (1.7 m/s)^2
KE = 320.58 Joules

Energy Dissipated = PE - KE
Energy Dissipated = 782.04 J - 320.58 J
Energy Dissipated = 461.46 J

Therefore, the energy dissipated by friction is 461.46 Joules.