Aheavy rope, 40 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 90 ft high. (let x be the distance in feet below the top of the building. enter xi* as xi.) (a) how much work w is done in pulling the rope to the top of the building

560 ft lb

Explanation:

We are given that a heavy rope 40 ft long ,weighs 0.7 lb/ft and hang over the edge of a building 90 ft high.

We have to find the amount of work is done in pulling the rope to the top of the building

Suppose start subdividing the length which is the longest distance any point on the rope can travel into n equal  sub-intervals

Length of sub-intervals=

.For each i we choose x_i*

Weight density =0. lb/ft

Using rieman sum we are finding approximation work done

delta x

Total approximation work done

delta x

When n  tends to infinity then we get

Total work done

=560 ft lb.

The amount of work is done in pulling the rope to the top of the building=560 ft lb

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.

gravity

explanation: