Question

Proper solution :-

A box of weight 100 N is lifted to a height of 10 m above ground. How much potential energy will be stored in the box?
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Answer 1

Given :-

Force applied to lift the box = 100 N

Height of the box = 10 m

To Find :-

The potential energy of an stored in the box.

Analysis :-

Here we are given with the mass and height of the box.

Firstly, using the formula of force (ie. force is equal to mass multiplied by the acceleration) find the acceleration accordingly.

In order to find the potential energy of the object substitute the values in the question such that potential energy mass into gravity into height and find the potential energy accordingly.

Solution :-

We know that,

• m = Mass
• h = Height
• PE = Potential energy
• g = Gravity
• a = Acceleration
• f = Force

Using the formula,

$\underline{\boxed{\sf Force=Mass \times Acceleration}}$

Given that,

Force (f) = 100 N

Acceleration (a) = 10 m/s

Substituting their values,

⇒ f = ma

⇒ 100 = m × 10

⇒ m = f/a

⇒ m = 100/10

⇒ m = 10 kg

Using the formula,

$\underline{\boxed{\sf Potential \ energy=Mass \times Gravity \times Height }}$

Given that,

Mass (m) = 10 kg

Gravity (g) = 10 m/s

Height (h) = 10 m

Substituting their values,

⇒ PE = mgh

⇒ PE = 10 × 10 × 10

⇒ PE = 1000 J

Therefore, the potential energy of an box is 1000 J.

Answer 2

Answer:

Given :-

• A box of weight 100 N is lifted to a height of 10 m above ground.

To Find :-

• How much potential energy will be stored in the box.

Formula Used :-

❶ To find mass we know that,

$\boxed{\bold{\large{F\: =\: ma}}}$

❷ To find potential energy we know that,

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

where,

• F = Force
• m = Mass
• a = Acceleration

Solution :-

❶ First, we have to find the mass,

Given :

• Force = 100 N
• Acceleration = 10 m/s

According to the question by using the formula we get,

⇒ F = ma

⇒ 100 = m × 10

⇒ $\dfrac{\cancel{100}}{\cancel{10}}$ = m

⇒ 10 = m

➠ m = 10 kg

❷ Now, we have to find the potential energy,

Given :

• Mass = 10 kg
• Gravity = 10 m/s
• Height = 10 m

According to the question by using the formula we get,

➟ P.E = 10 × 10 × 10

➥ P.E = 1000 J

$\therefore$ The potential energy will be stored in the box is 1000 J .