Question

)An object of mass 24kg is at a certain height above the ground.If the potential energy of the

object is 860 joules.Find the height at which the object is with respect to the ground. Given g=10 m/s

2

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Answer 1

Given:

• Mass = m= 24kg
• Potential energy = 860 Joules
• g= 10 m/${s}^{2}$

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Need to find:

• The height = h=?

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Solution:

We know,

Potential energy = mass× g × height

Put the values!

→ 860= 24× 10 ×h

→ 860 = 240 h

→ h= 860÷ 240 m

→ h = 3.583 m (answer)

The height at which the object is with respect to the ground is 3.583m.

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Knowledge cell:

• Potential energy is the energy possessed by a body by virtue of its position or configuration in a conservative force field.

• Potetial energy is a relative quantity

• Potential energy can be positive, negative or zero.

• It's value can be estimated by PE= mgh

• At the reference point PE = 0 Joules

Answer 2

Answer:

Given :-

• An object of mass 24 kg is at a certain height above the ground and the potential energy of the object is 860 joules. (g = 10 m/s²)

To Find :-

• What is the height at which the object is with respect to the ground.

Formula Used :-

${\red{\boxed{\large{\bold{P.E =\: mgh}}}}}$

where,

• P.E = Potential Energy
• m = Mass
• g = Acceleration due to gravity
• h = Height

Solution :-

Given :

• Potential energy = 860 Joules
• Mass = 24 kg
• Acceleration due to gravity = 10 m/s²

According to the question by using the formula we get,

⇒ $\sf 860 =\: 24 \times 10 \times h$

⇒ $\sf h = \dfrac{860}{24 \times 10}$

⇒ $\sf h =\: \dfrac{86\cancel{0}}{24\cancel{0}}$

⇒ $\sf h =\: \dfrac{86}{24}$

➠ $\sf\bold{\purple{h =\: 3.583 m}}$

$\therefore$ The height at which the object is with respect to the ground is 3.583 m .