His older brother lifts the rock to a height of 6 ft. How much work was done?

To calculate the amount of work done, we need to know the weight of the rock being lifted and the distance it is being raised. Without these additional details, we cannot determine the work done accurately.

To calculate the amount of work done in lifting the rock, we need to know the force applied and the distance over which the force was exerted. In this case, we are given the height through which the rock is lifted, which is 6 ft.

However, we don't have information about the force applied to lift the rock. Generally, work can be calculated as the product of force and distance: Work = Force x Distance. Without the force applied, we cannot determine the amount of work done in this situation.

If we had the force applied, we could multiply it by the distance to find the work done in lifting the rock. But since we only have the distance (6 ft) and not the force, we cannot determine the exact amount of work done.

To calculate the work done in lifting the rock, we need to know the weight of the rock and the distance it was lifted. Can you provide the weight of the rock?

The rock weighs 100lbs

With the weight of the rock provided as 100 lbs and the height it is lifted as 6 ft, we can calculate the work done using the formula: Work = force x distance.

In this case, the force is equal to the weight of the rock, which is 100 lbs. The distance is the height the rock is lifted, which is 6 ft.

Using the given values, we can calculate the work done as follows:

Work = force x distance
Work = 100 lbs x 6 ft
Work = 600 ft-lbs

Therefore, the work done in lifting the rock is 600 foot-pounds (ft-lbs).

If it took him 2 seconds to lift the rock how much power was needed?

To calculate the power needed to lift the rock, we can use the formula: Power = Work / Time

From the previous calculation, we found that the work done in lifting the rock was 600 foot-pounds (ft-lbs). The time taken to lift the rock is given as 2 seconds.

Using these values, we can calculate the power needed as follows:

Power = Work / Time
Power = 600 ft-lbs / 2 s
Power = 300 ft-lbs/s

Therefore, the power needed to lift the rock is 300 foot-pounds per second (ft-lbs/s).

How many horsepower were used?

To calculate the amount of horsepower used, we can convert the power from foot-pounds per second (ft-lbs/s) to horsepower.

1 horsepower is equivalent to 550 foot-pounds per second.

Using this conversion factor, we can calculate the horsepower used as follows:

Horsepower = Power (ft-lbs/s) / 550

In this case, the power needed to lift the rock is 300 ft-lbs/s.

Horsepower = 300 ft-lbs/s / 550
Horsepower ≈ 0.545 horsepower

Therefore, approximately 0.545 horsepower was used to lift the rock.