Question

An assistant for a football team carries a 26.0 kg cooler of water from the top row of the stadium, which is a distance h = 20.5 m above the field level, down to the bench area on the field. The speed of the cooler is constant throughout the trip. Calculate the work done by the assistant on the cooler of water Number Calculate the work done by the force of gravity on the cooler of water. Number

Answer 1

The work done by the assistant on the cooler of water is 5249.2 Joules. The work done by the force of gravity on the cooler of water is -5249.2 Joules.

Step-by-step explanation:

To calculate the work done by the assistant on the cooler of water, we can use the equation:

Work = Force x Distance x cos(theta)

The force exerted by the assistant on the cooler is equal to the weight of the cooler, which is given by the equation:

Force = Mass x gravitational acceleration

Substituting the given values, we have:

Work = (26.0 kg)(9.8 m/s^2)(20.5 m) x cos(0°)

Simplifying, we get:

Work = 5249.2 Joules

To calculate the work done by the force of gravity on the cooler of water, we can use the equation:

Work = Force x Distance x cos(theta)

The force of gravity is equal to the weight of the cooler, which is given by the equation:

Force = Mass x gravitational acceleration

Substituting the given values, we have:

Work = (26.0 kg)(9.8 m/s^2)(20.5 m) x cos(180°)

Simplifying, we get:

Work = -5249.2 Joules

Answer 2

i. Workdone on cooler = 5223.4 J

ii. Workdone by gravity on cooler = 5223.4 J

Explanation: see attachment