Physics
Grade-10
Easy
Question
A ball weighing 0.5 kg has a kinetic energy of 1 joule when its speed is:
- 1 m/s
- 2 m/s
- 3 m/s
- 4 m/s
Hint:
Kinetic energy can be calculated by
mv2
The correct answer is: 2 m/s
Given:
Mass of the ball = 0.5 kg
Kinetic energy = 1 J
To find:
Speed of the ball =?
Solution:
![K E space equals space 1 half cross times m cross times v squared
1 space equals space 1 half cross times 0.5 space cross times space v squared
v squared space equals space fraction numerator 2 over denominator 0.5 end fraction space equals space 4
v equals space 2 m s to the power of negative 1 end exponent](data:image/png;base64,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)
Hence the speed of the ball is 2 ms-1
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