A object of mass 2kg initially at rest is moving with a acceleration of 10meter per second square. Calculate is kinetic energy after covering displacement of 5 metre?
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Given:-
- Mass (m) = 2 kg
- Acceleration (a) = 10m/s²
- Initial velocity (u) = 0m/s
- Displacemet (s) = 5 m
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To Find :-
- Kinetic Energy.
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Solution:-
Firstly,
- we calculate the final velocity of the object.
Formula used:-
→ v² = u² +2as
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where,
- v is the final velocity.
- a is the acceleration.
- u is the initial velocity.
- s is the displacemet.
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According to the question,
→ v² = 0² + 2×10×5
→ v² = 0 + 20×5
→ v² = 100
→ v = √100
→ v = 10m/s
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Now,
- calculating the kinetic energy.
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Formula used:-
→ KE = 1/2mv²
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Where,
- KE is the Kinetic Energy
- m is the mass
- v is the speed/velocity
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According to the question,
→ KE = 1/2×2 × 10²
→ KE = 1/2 × 2 × 100
→ KE = 100 J
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Hence,
- the kinetic energy of the object is 100 Joules.
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