Question

Consider two children say A and B weigh the same. Both start climbing up a rope separately and
reach a height of 8m in 15s and 20s respectively and power of person A and B are given by PA
and
PB
respectively then

Answer 1

Answer:

power=energy x time

now we have to calculate potential energy

potential energy=mgh

energy of Kid A=8 x 10 xm

energy of Kid B=8 x 10 x m

power =energy x time

for case 1

80m/15s

for case 2

80m/20s

so case 1 has more power

Answer 2

The power of person A is (8mA)/15 and the power of person B is (2mA)/5.

We can use the formula for power:

Power = Work/Time

where Work is the amount of energy required to lift the person's body mass to a certain height, and Time is the time taken to complete the task.

Since both children weigh the same and reach the same height, we can assume that they lifted their body mass by the same amount.

The work done by each child is given by:

Work = mgh

where m is the mass of the child, g is the acceleration due to gravity (approximately $9.8 m/s^2$), and h is the height reached (8m).

Therefore, the work done by both children is the same:

mAgh = mBgh

We can cancel out the mass and height terms, and we get:

PA = Work/time A = (mAgh)/time A = (mA*8)/15

PB = Work/time B = (mBgh)/time B = (mB*8)/20

Since mA = mB, we can simplify the above equations as:

PA = (8mA)/15

PB = (8mA)/20 = (2mA)/5

Therefore, the power of person A is (8mA)/15 and the power of person B is (2mA)/5.

We cannot determine the exact value of mA or the units of power without additional information.

For similar question on Power and work.

https://brainly.in/question/2245945

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