Question

(I) How long will it take a 1750-W motor to lift a 315-kg
piano to a sixth-story window 16.0 m above?

Answer 1

Answer:

Time, t = 28.22 s.

Explanation:

Given data:

Power, $P = 1750 \ \rm W$

Mass, $m = 315 \ kg$

Height, $h = 16.0 \ m$

Let the time required to lift the piano to 16.0 m above be t.

We know that,

$P = \frac{W}{t}$

$P = \frac{mgh}{t}$

$\Rightarrow \ t = \frac{mgh}{P}$

$t = \frac{315 \times 9.80 \times 16.0}{1750}$

$t = 28.22 \ s.$

Answer 2

It will take the motor 28.224 seconds to lift the piano to the sixth-story window.

Given the following data;

• Power = 1750 Watts

• Mass = 315 Kilograms

• Height = 16.0 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 calculated by using 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;

$G.P.E = 315 \; * \; 9.8 \; * \; 16$

G.P.E = 49,392 Joules

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

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

Substituting the values into the formula, we have;

$Time = \frac{49392}{1750}$

Time = 28.224 seconds

Therefore, it will take the motor 28.224 seconds to lift the piano to the sixth-story window.

Find more on power, time and energy here: brainly.com/question/20488953