It takes 300 N of force and a distance of 20 m for a moving cart to come to a stop. How much kinetic energy did this cartpath?
Work done to stop = kinetic energy at the beginning
= Force * distance
= 300 N * 20 m = 6000 Joules
To determine the kinetic energy of the moving cart, we need to use the formula for kinetic energy:
Kinetic energy (KE) = 1/2 * mass * velocity^2
However, in order to use this formula, we need to know either the mass or the velocity of the cart. Unfortunately, the given information of the force and distance does not provide us with enough information to directly calculate either of those values.
To find the kinetic energy, we will need to use an alternative method. We can utilize the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
The work done (W) is calculated as the product of the force (F) applied and the distance (d) over which the force is applied:
Work (W) = Force (F) * Distance (d)
In this case, the work done is equal to the change in kinetic energy.
So, to find the kinetic energy, we can rewrite the equation:
Kinetic energy (KE) = work done (W)
Now we can substitute the given values:
Force (F) = 300 N
Distance (d) = 20 m
Work (W) = Force (F) * Distance (d)
= 300 N * 20 m
= 6000 N·m (Newton meters) or 6000 J (Joules)
Therefore, the kinetic energy of the cart is 6000 Joules (6000 J).