The potential energy of an object is jointly related with the mass of the object and the height of the object. a 40-kg object is 2 meters off the ground. the potential energy of the object is 784 joules. a 10-kg object is 3 meters off the ground. what is the potential energy of the 10-kg object?

The potential energy of the 10-kg object is 294 joules .

Step-by-step explanation:

As given

The potential energy of an object is jointly related with the mass of the object and the height of the object.

Let the potential energy of an object is denoted by P.E .

Mass of the object = m

Height of the object = h

Than

P.E = mgh

Where g is the accleration due to gravity .

As given

A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules.

Put the value in the P.E = mgh

784 = g × 2 × 40

784 = 80g

g = 9.8 joules per kg meter .

As given

A 10-kg object is 3 meters off the ground.

Put the value in  P.E = mgh

P.E = 10 ×  9.8 × 3

P.E = 294 joules

Therefore the potential energy of the 10-kg object is 294 joules .

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