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The motor of an elevator puts out 1,135 W of power. What is the mass of the elevator in kg if it lifts 104 m in 58 s at a constant speed? Assume [tex]g = 9.80 \, \text{m/s}^2[/tex].

Answer :

Power is the rate at which work is done. The unit of power is the watt (W), which is equal to one joule per second (J/s).Given: Power output, P = 1135 W Distance traveled, d = 104 m Time taken, t = 58 s Acceleration due to gravity, g = 9.80 m/s²To find:

Power, P = Work done / Time taken We know that Power, P = Force x Velocity We know that Velocity, v = Distance / Time We know that Work done, W = Force x Distance We know that Force, F = m x g By combining the above equations, we get Power, P = Force x Velocity => P = (m x g) x (d / t)Work done.

P = Work done / Time taken => P = (m x g x d) / t Solving for mass, m we getm = (P x t) / (g x d)Substituting the values, we getm [tex]= (1135 W x 58 s) / (9.8 m/s² x 104 m[/tex])Therefore, the mass of the elevator is 594 kg approximately. Hence, the mass of the elevator is 594 kg approximately, and the answer is more than 100 words.

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