Question

432 J of energy is required to raise a body to a height of 45m. If g = 10 m/s2, find the mass of the body. ​

Answer 1

Answer:

The mass of the body is 0.96 kg.

Step-by-step explanation:

Energy consumed = 432 J

Height = 45 m

g = 10 m/s²

Mass = ??

Work done = Energy consumed

Work done = F × S

432 = mgh

432 = m × 10 × 45

432 = 450m

m = 450/432

m = 0.96 kg

Mass = 0.96 kg.

★ Verification:

Work done = mgh

= 0.96 × 10 × 45

= 0.96 × 450

= 432 J

Therefore, the mass of the body is 0.96 kg.

Answer 2

Energy required = 432 J

Height raised = 45 m

Acceleration due to gravity = 10 m/s^2

We know,

W = Fs = mgh

⇒ m = W/gh

⇒ m = (432 Nm)/(10 m/s² × 45 m)

⇒ m = 0.96 kg or 960 g.

So, the mass of the body is 960 grams.