Question

a man raises 100kg from the floor to height of 2m in 2.5s what is the work done and the power developed

Answer 1

Answer:

Solution,

Here,

Mass (m) = 100 kg

Height (h) = 2

Time taken (t) = 2.5 s, Acceleration due to gravity (g) = 10 m / s².

Work (W) = mgh = 100 * 2 * 10 = 2000 J

Power (P) = W / t

Explanation: Find the value of P and get your answer.

Answer 2

Given: mass - m = 100kg

           height - h = 2m

           time - t = 2.5s

To Find: work done - W =?

             power - P =?

Solution:

Formula used:

• Work done(W) = Force(F) × displacement (h)
• Force(F) = mass(m) × acceleration(g) {g = 9.8 m/s² as mass is lifted}
• Power (P) = W/time(t)

Calculating work done

F = m × g

F = 100kg × 9.8m/s²

F = 980 N

W = F × h

W = 980 × 2

W = 1960 J

Calculating Power using the above formula:

P = W/t

P = 1960/2.5

P = 784W

Hence, the work done and Power developed are 1960J and 784W respectively.