The correct answer to the question is : 3 m.
EXPLANATION:
As per the question, the amount of work done W = 450 J.
The weight of the hot tub is given as w = 150 N.
We are asked to calculate the height of the hot tub from the ground.
When the tub was lifted to certain height, the energy gained by the tub is potential energy. Actually the work done to lift that tub is stored in the form of potential energy.
The potential energy of the tub is calculated as -
Potential energy P.E = mgh
The weight of the tub w = 150 N.
We know that weight of the body is equal to the product of mass with acceleration due to gravity.
Hence, weight w = mg = 150 N.
Here, g is known as acceleration due to gravity.
From above we know that potential energy = work done
⇒ mgh = 450 J
⇒ 150h = 450 J
⇒ h = [tex]\frac{450}{150}\ m[/tex]
= 3 m.
Hence, the height of tub raised from ground is 3 m.
