*I am lost on a bunch of different problems, and this is one of them. Please note that I am NOT asking for final answers, just some guidance so that I can figure out how to do the problem!!! I know that a lot of times on this site it is commented that we are fishing for answers, but I just need some guidance on some stuff I honestly cannot figure out how to do, no matter how easy it might seem to others.

A 20.0 kg rock slides on a rough horizontal surface at 9.00 m/s and eventually stops due to friction. The coefficient of kinetic friction between the rock and the surface is 0.300.

What average thermal power is produced as the rock stops?
Answer expressed in W.

The work done is forcefriction*distance. Power is that work divided by time in seconds.

a steel ball rolls with constant velocity across a tabletop 0.95 m high. it rolls off and hits the ground 0.35 m from the edge of the table. how fast was the ball rolling

To find the average thermal power produced as the rock stops, we need to calculate the work done by friction and then divide it by the time it takes for the rock to stop.

First, let's calculate the force of friction acting on the rock. The equation for the force of friction is given by:

Force of friction = coefficient of kinetic friction * normal force

The normal force is the force exerted perpendicular to the surface, which is equal to the weight of the rock. The weight of the rock can be found using the formula:

Weight = mass * acceleration due to gravity

Weight = 20.0 kg * 9.8 m/s^2
Weight = 196 N

Now we can calculate the force of friction:

Force of friction = 0.300 * 196 N
Force of friction = 58.8 N

Next, let's determine the distance the rock slides before coming to a stop. Since the rock starts from a speed of 9.00 m/s and stops, we can use the following equation of motion:

v^2 = u^2 + 2as

where v is the final velocity (0 m/s), u is the initial velocity (9.00 m/s), a is the acceleration (which is equal to the force of friction divided by the mass of the rock), and s is the distance.

solving for s, we have:

0 = (9.00 m/s)^2 + 2 * (force of friction / mass) * s

Now we can solve for the distance:

s = - (9.00 m/s)^2 / (2 * (force of friction / mass))
s = - (9.00 m/s)^2 / (2 * (58.8 N / 20.0 kg))
s = - 40.4 m

Since distance cannot be negative, the rock slides a distance of 40.4 meters before coming to a stop.

Finally, we can calculate the work done by friction:

Work = force of friction * distance
Work = 58.8 N * 40.4 m

To find the average thermal power produced, we need to divide the work done by the time it takes for the rock to stop. The time can be determined using the formula:

time = distance / velocity

time = 40.4 m / 9.00 m/s

Now we can calculate the average thermal power:

Power = Work / time

I hope this explanation helps you understand how to approach and solve the problem!