Camping equipment weighing 6000 N is pulled across a frozen lake by means of a horizontal rope. The coefficient of kinetic friction is 0.05. The work done by the campers in pulling the equipment 1000 m at constant velocity is:
We never utilized friction this chapter so I don't really know why this a problem on the homework but is it just W = 6000*.05*1000 = 3*10^5 J
Why do we not need to convert N into kg?
Yes, that's it!
The (kinetic) friction coefficient times the weight is the friction force that must be applied.
No, the calculation you provided is not correct. The work done by the campers in pulling the equipment can be calculated as the product of the force applied and the distance traveled. In this case, the force applied can be calculated by multiplying the weight of the camping equipment by the coefficient of kinetic friction.
So, the force applied is: Force = coefficient of kinetic friction * weight of the camping equipment
Weight of the camping equipment = 6000 N
Coefficient of kinetic friction = 0.05
Force = 0.05 * 6000 N = 300 N
Now, you can calculate the work done using the formula:
Work = Force * Distance
Distance = 1000 m
Work = 300 N * 1000 m = 300,000 J
Therefore, the work done by the campers in pulling the equipment 1000 m at a constant velocity is 300,000 J.
To find the work done by the campers in pulling the equipment, you need to consider the force applied and the distance traveled.
The force opposing the motion is the force of friction, which can be calculated using the equation:
Friction = coefficient of friction * Normal force
In this case, the normal force is equal to the weight of the camping equipment, which is 6000 N. The coefficient of kinetic friction is given as 0.05. Therefore, the force of friction can be calculated as:
Friction = 0.05 * 6000 N = 300 N
Since the equipment is pulled at a constant velocity, the force applied by the campers is equal in magnitude but opposite in direction to the force of friction. So, the force applied by the campers is also 300 N.
Now, to find the work done, you need to multiply the force applied by the distance traveled:
Work = Force * Distance
Work = 300 N * 1000 m = 300,000 J
Therefore, the work done by the campers in pulling the equipment 1000 m at a constant velocity is 300,000 Joules (J).
Your calculation of W = 6000 * 0.05 * 1000 = 300,000 J is correct.