Question

An object of mass 36 kg is at a certain height above the ground. If the energy possessed by the object is 550 J, find the height at which the object is with respect to the ground. 2

Answer 1

AnswEr :

›»› The height at which the object is with respect to the ground is 1.52 m.

Explanation :

Given :

• Mass of an object = 36 kg.
• Energy possed by the object = 550 J.

To Find :

• Height at which the object is with respect to the ground = ?

Solution :

As we are given with the mass of an object and energy possed by the object then we know the required formula, that is,

→ PE = mgh.

Here,

• PE is the Potential energy.
• m is the Mass.
• g is the Acceleration due to gravity.
• h is the Height.

We know the value of acceleration due to gravity is 9.8 m/s² or 10 m/s².

Here we will use 10 m/s² for acceleration due to gravity.

Substituting all the given values in the formula, we get :

→ 550 = 36 × 10 × h

→ 550 = 360 × h

→ 550 = 360h

→ h = 550/360

→ h = 55/36

→ h = 1.52

Hence, the height at which the object is with respect to the ground is 1.52 m.

Answer 2

Answer:

Given :-

• An object of mass 36 kg is at a certain height above the ground. The energy possessed by the object is 550 J.

To Find :-

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

Formula Used :-

$\boxed{\bold{\large{P.E\: =\: m \times g \times h}}}$

where,

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

Solution :-

Given :

• Mass = 36 kg
• P.E = 550 J
• Acceleration due to gravity = 9.8 m/s

According to the question by using the formula we get,

⇒ 550 = 36 × 9.8 × h

⇒ 550 = 352.8 × h

⇒ 550 = 352.8h

⇒ $\dfrac{550}{352.8}$ = h

⇒ 1.55 = h

➠ h = 1.55 m

$\therefore$ The height at which the object is with respect to the ground is 1.55 m .