Question

How long will it take a 1500 W motor to lift a 300 kg piano to a sixth-story window 20 m above?

Answer 1

Answer:

39.24 sec

How long will it take a 1500 W motor to lift a 300 kg piano to a sixth-story window 20 m above? All tutors are evaluated by Course Hero as an expert in their subject area. Answer is t = 39.24 sec

Step-by-step explanation:

Answer 2

It will take the motor 39.2 seconds to lift the piano to the sixth-story window.

Given the following data;

• Power = 1500 Watts

• Mass = 300 kg

• Height = 20 meters

We know that acceleration due to gravity is equal to 9.8 m/s².

To find how long it will take to lift the piano to the sixth-story window;

First of all, we would have to determine the gravitational potential energy required to lift the piano up.

Mathematically, gravitational potential energy is given by the formula;

$G.P.E = mgh$

where:

G.P.E is the  gravitational potential energy of an object.

m is the mass of the object.

g is the acceleration due to gravity.

h is the height of the object.

Substituting into the formula, we have;

$G.P.E = 300*9.8*20$

G.P.E = 58,800 Joules

Next, we would determine the time using the following formula;

$Time = \frac{Energy}{Time}$

Substituting the values into the formula, we have;

$Time = \frac{58800}{1500}$

Time = 39.2 seconds.