Question

a machine lifts 20kg to a height of 5m in 2min . what is the power of the machine ? take g = 10m/s^-2

Answer 1

solution

in question given :-

mass ( m) = 20kg

height (h) = 5m

$gravity \: = {10ms}^{ - 2}$

Time (t) = 2 min

= 2 × 60

= 120s

workdone or energy supplies.

= mass × gravity × height

= 20 × 10 × 5

= 1000 j

find power = ?

energy supplied / time taken

power = $\frac{energy supplied }{time taken}$

$\frac{1000j}{120s}$

= 8.33 W

be brainly

Answer 2

Solution:

Given,

Mass, m = 20 kg

Acceleration due to gravity, g = 10 m/s^-2

Height, h = 5 m

Time taken = 2 min

We have to convert 2 minutes into seconds by multipling from 60 because one minute is equal to 60 seconds.

Time taken = 2 min

Time taken = 2 × 60 s

Time taken = 120 s

By using the formula of potential energy, we find the work done.

Potential Energy = m × g × h

* Potential energy is directly proportional to the mass.

* Potential energy is directly proportional to the acceleration due to gravity.

* Potential energy is directly proportional to the height.

Substitute the values

Potential Energy = m × g × h

Potential Energy = 20 × 10 × 5

Potential Energy = 1000 J

Now,

To find the power

By using the formula of power, we find the power.

Power = Energy supplied / Time taken

Power = 1000 J / 120 s = 8.33 W

Thus, the power of the machine is 8.33 W.