If a 5 tons beam is raised 6 meters, what is it's potential energy? If it is raised another 8 meters in 6 seconds, what is the work done?
Answers
Mass (m) = 5 tons
= 5 × 1000 Kg [1 ton = 1000Kg]
Gravity (g) = 9.8 N
Height (h) = 6 meters
P.E. = mgh
= 5000 × 9.8 × 6 J
= 294000 J
Answer:
Hence, work done when height is 6 meters is 294 KJ and when height is raised to 8 meters is 392 KJ.
Explanation:
Concept:
What is potential energy?
We are aware that an object's position can cause it to store energy. When a bow and arrow are used, the energy that is stored when the bow is drawn is what gives the arrow its kinetic energy when it is released.
Similar to this, when a spring is moved away from its equilibrium position, it gains some energy, which we can notice by the stress our hands experience when we stretch it. Potential energy is a type of energy that arises from a change in its position or state, according to our definition.
Formula for potential energy:
W = mgh
where, m = mass
g = acceleration due to gravity
h = height
Calculation:
Given, m = 5 tons = 5 x 1000 Kg [ 1 ton = 1000 kg]
g = 9.8 N
h = 6 meters
So, W = mgh
= 5000 x 9.8 x 6
= 294000 J
= 294 KJ
In another case m = 5000 kg
g = 9.8 N
h = 8 meters
Then, W = mgh
= 5000 x 9.8 x 8
= 392000 J
= 392 KJ
Therefore, work done when height is 6 meters is 294 KJ and when height is raised to 8 meters is 392 KJ.
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