a truck of mass 100 kilograms increase its speed from 36 kilometre per hour -1 to72 kilometre per hour -1 find the increase in its kinetic energy?
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Given:-
- Mass of truck (m) = 100kg
- Initial velocity (u) = 36 km/h
- Final velocity (v) = 72km/h
To Find:-
- Increase in kinetic energy
Solution:-
Firstly we convert the speed into m/s
Initial speed = 36×5/18 = 10m/s
Final speed = 72×5/18 = 20m/s
As we know that Kinetic Energy is the energy of the body due to virtues of its motion.
→ K.E = 1/2mv²
Using this formula
→ Increase in kinetic energy = Final Kinetic - Initial Kinetic
→ Increase in K.E = K.Eᶠ - K.Eⁱ
Substitute the value we get
→ Increase in K.E = 1/2×100 ×20² - 1/2 × 100×10²
Taking common both side
→ Increase in K.E = 1/2×100 (400-100)
→ Increase in K.E = 50 × 300
→ Increase in K.E = 15000J
∴ The increase in Kinetic Energy is 15000 Joule.
Answered by
1
Explanation:
15000 joule
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