Question

If the potential energy of a body is 60J, find the mass if the height is 50cm.(g=10m/s)

Answer 1

GIVEN:

• Potential energy (P) = 60J
• Height (h) = 50 cm
• value of g = 10 m/s²

TO FIND:

• What is the mass of a body ?

SOLUTION:

We have given the height of a body is 50 cm

Convert the height into m:-

✦ 1 cm = 1/100 m

✦ 50 cm = 0.5 m

☞ Let the mass of a body be 'm' kg

To find the potential energy of a body, we use the formula:-

【P = m $\times$ g $\times$ h】

Where,

• m = Mass of body
• g = Gravity
• h = height of body

According to question:-

➾ 60 = m $\times$ 10 $\times$ 0.5

➾ 60 = 5m

➾ $\sf{\cancel\dfrac{60}{5}}$ = m

❮ 12 kg = m ❯

❝ Hence, the mass of a body is 12 kg ❞

______________________

Answer 2

Given ,

Potential energy (PE) = 60 J

Height (h) = 50 cm or 0.5 m

Acceleration due to gravity (a) = 10 m/s²

We know that , the potential energy of a body is given by

$\boxed{ \sf{Potential \: energy \: (PE) = mgh}}$

Thus ,

60 = m × 10 × 0.5

60 = m × 5

m = 60/5

m = 12 kg

Therefore ,

• The mass of a body is 12 kg