# The power required (in HP) in moving an object of 150 kg to a height of 3 m in 3 seconds is

1. 1.6
2. 1.75
3. 1.85
4. 1.9

Option 4 : 1.9

## Detailed Solution

Concept:

Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.

• Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by:

W = Fs = mgh

Where m = Mass of body, h = Height, g = Acceleration

Power: The rate of doing work is known as power. Mathematically.

$$P = \frac W t\,$$

t = Time in seconds

Also, 1 HP = 746 W

Calculation:

Given:

m = 150 kg, h = 3 m, t = 3 s, g = 9.8 m/s2

Using, W = mgh

W = 150 × 9.8 × 3

W = 4410 J

Now, power $$P = \frac W t\,$$

$$P = \frac {4410}{3}\,$$

P = 1470 W

P = 1.9 HP
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