An object of mass 40 kg. is raised toa height of 5 m. from the ground . g=10 m/2. Calculate the work done
Answers
Answer:
Given:
Mass (m) = 40 kg
Acceleration due to gravity (g)= 10m/s²
Height (h)= 5m
Potential energy= m × g× h
P.E= 40 × 10 × 5 = 2000J
Potential energy = 2000J ( 2000 joules)
At a height of 5 metre object has a potential energy of 2000 J.
When this object is allowed to fall and it is Half way down its height above the ground will be half of 5 m= 5/2= 2.5m.
P.E at Half way down= m× g×h
P.E= 40× 10 × 2.5= 1000J
[h= 2.5 m]
Potential Energy at Half way down= 1000 joules.
According to law of conservation of energy:
Total potential energy= potential energy at Half way down+ kinetic energy at Half way of a down
2000 = 1000 + K.E at Half way down
K.E at Half way down= 2000- 1000= 1000J
Kinetic energy at half way down= 1000 joules.
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Answer:
2000 Joules
Explanation:
Work Done = Force * Displacement
Force = Mg = 40*10 = 400N
Displacement = 5 metre
Applying formula,
Work Done = 400*5 = 2000 Nm = 2000 Joules
Thank you.