Question

a person of mass 60 kg carries a 15 kg body on the top of building 10 m high in 5 minutes.he puts a power in carrying the body

Answer 1

Given:-

• Mass of body=m=15kg
• Height=h=10m
• Acceleration due to gravity=g=10m/s
• Time=5min=300s

To find:-

Power

Solution:-

• Find potential energy first

$\boxed{\sf E_p=mgh}$

$\\ \sf\longmapsto E_P=15\times 10\times 10$

$\\ \sf\longmapsto E_P=15\times 100$

$\\ \sf\longmapsto E_P=1500J$

Now

$\boxed{\sf Power=\dfrac{Work\:done}{Time}}$

$\\ \sf\longmapsto Power=\dfrac{E_P}{Time}$

$\\ \sf\longmapsto Power=\dfrac{1500}{300}$

$\\ \sf\longmapsto Power=5J/s$

$\\ \sf\longmapsto Power=5Watts$