The kinetic energy of an object of mass 'm' moving with a velocity of 5 m/s is 25 J. what will be its kinetic energy when its velocity is increased three times
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Given:-
- Kinetic Energy ,KE = 25 J
- Velocity ,V = 5m/s
To Find:-
- Kinetic energy when its velocity is increased three times.
Solution:-
Firstly we calculate the mass of the body . As we know that Kinetic Energy is the energy possess by body due to its motion.
• KE = 1/2mv²
Where
KE is the Kinetic Energy
m is the mass of the body
v is the final velocity
Substitute the value we get
→ 25 = 1/2×m× 5²
→ 25×2 = m × 25
→ 50 = m × 25
→ m = 50/25
→ m = 2 kg
Mass of the object is 2kg .
If the velocity of the object increase by three times .Then the new velocity is 3 × 5 = 15m/s
Now calculating the New kinetic Energy
• KE ' = 1/2mv²
Substitute the value we get
→ KE' = 1/2× 2 × 15²
→ KE' = 15×15
→ KE' = 225 J
Therefore, the new kinetic energy of the object is 225 Joules.
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