Question

an object of mass 24 kg is accelerated on a frictionless plane inclined at an angle of 87 degree with the horizontal by a constant Force starting the bottom from the rest it covers a distance of 18 m in 30 second 1 what is the average power required to accomplish the process ​

Answer 1

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Answer 2

$\huge\sf\red{QUESTION♡}$

An object of mass 24kg is accelerated up a frictionless plane inclined at an angle of 37° with the horizontal by a constant force. Starting from rest it covers a distance of 18m in 3 sec. What is the average power needed to accomplish the process?

$\huge\sf\red{ANSWER♡}$

Since friction is assumed to be zero then there is no loss of energy in accelerating the 24 kg mass up an inclined plane. Its height needs to be solved first using the sine function of right triangles.

Solving for the height h

sin 37 = h/18 m

h = 18 m * sin 37

h = 10.8327 m

The mass of 24 kg is raised to a height of h so the amount of work is equal to m * g * h.

Solving for the work done

Work = 24 kg * 9.8 m/s^2 * 10.8327 m

Work = 2547.85 joules

Solving for the average power

AVG Power = Work /time

AVG Power = 2547.85 joules /3 s

AVG Power = 849.28 watts

The average power needed to accomplish the task is 849.28 watts.