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Answer :
The speed of the 0.43kg soccer ball is approximately 13.4 m/s.
To find the speed of a 0.43 kg soccer ball given a kinetic energy of 38.6 J, we can use the kinetic energy formula:
K.E = 1/2mv²
where:
- K.E is the kinetic energy (38.6 Joules)
- m is the mass of the ball (0.43 kg)
- v is the speed of the ball (which we need to find)
1. First, rearrange the formula to solve for v:
v = √((2K.E)/m)
2. Now, substitute the given values into the equation:
v = √((2 × 38.6)/0.43)
3. Next, calculate the values inside the square root:
v = √(77.2/0.43)
v = √79.53
4. Finally, take the square root:
v ≈ 13.4 m/s
So, the speed of the ball is approximately 13.4 meters per second.
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