Question :-
An object of mass 60 kg. is raised to a height of 5 m. above the ground . Calculate its potential energy ? If the object is allowed to fall ,find its potantial and kinetic energy when it is halfway down ?
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Take your time
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Answers
Answer:
Explanation:
Given,
Mass of the object, m = 60 kg
Height upto the object raised, h = 5 m
Acceleration due to gravity, g = 10 m/s²
To Find,
Potential Energy = ?
Kinetic energy when it is half-way down.
Formula to be used,
Potential Energy = mgh
Solution,
Putting all the values, we get
Potential Energy = mgh
⇒ Potential Energy = 60 × 10 × 5
⇒ Potential Energy = 3000 J
Hence, the Potential Energy is 3000 J.
Now, The Kinetic energy when it is half-way down,
We know that,
When object falls the potential energy gets converted into kinetic energy.
Then,
Kinetic energy when it is half-way down = 3000/2 = 1500 J.
Hence, the Kinetic energy when it is half-way down is 1500 J.
Answer:
Given :-
- An object of mass 60 kg is raised to a height of 5 m above the ground.
To Find :-
- What is the potential energy and kinetic energy when it is halfway down.
Formula Used :-
To find potential energy we know that,
★ Potential Energy = mgh ★
where,
- m = Mass
- g = Acceleration due to gravity
- h = Vertical displacement
Solution :-
Given :
- Mass = 60 kg
- Acceleration due to gravity = 10 m/s²
- Vertical displacement = 5 m
According to the question by using the formula we get,
⇒ Potential energy = 60 × 10 × 5
⇒ Potential energy = 600 × 5
➠ Potential energy = 3000 J
∴ The potential energy of an object is 3000 J .
Again,
At, halfway down, the kinetic energy of an object are equal to the quantity of potential and kinetic energy.
So, it is also called law of conservation of energy.
Hence, halfway down the kinetic energy can we calculated as,
↦ Kinetic energy = 3000 J/2
➦ Kinetic energy = 1500 J
∴ The halfway down of the kinetic energy is 1500 J .