A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
To find the work done, we need to calculate the force and the distance.
First, let's calculate the force needed to lift the golf cart. The weight of the golf cart is given as 700 lbs.
Force = Mass * Acceleration due to gravity
Acceleration due to gravity is approximately 32.2 ft/s^2.
Force = 700 lbs * 32.2 ft/s^2
Force = 22,540 lbs-ft/s^2
Next, let's calculate the distance over which the force is applied. The height of the boat's deck above the loading dock is given as 300 ft.
Distance = 300 ft
Now, we can calculate the work done.
Work = Force * Distance
Work = 22,540 lbs-ft/s^2 * 300 ft
Work = 6,762,000 lbs-ft
Therefore, the work done to lift the golf cart onto the boat's deck is 6,762,000 lbs-ft.
To find the work done, we need to calculate the force required to lift the golf cart and the distance it is lifted. The work done is equal to the force applied multiplied by the distance over which the force is applied.
First, let's calculate the force required to lift the golf cart. Since the cable weighs 3 lb/ft and we need to lift a 700 lb golf cart, the combined weight of the cable and golf cart becomes 700 lb + (3 lb/ft * 300 ft) = 1600 lb. This is the force we need to apply.
Next, we calculate the distance over which the force is applied, which is given as 300 ft.
Finally, we can calculate the work done by multiplying the force applied by the distance. So the work done is 1600 lb * 300 ft = 480,000 lb⋅ft. Therefore, the work done to lift the golf cart up to the deck of the boat is 480,000 lb⋅ft.