of the object? 7. A bowling ball rolled with a force of 15 N accelerates at a rate of 3 m/sec 2 ; a second ball rolled with the same force accelerates 4 m/sec 2 . What are the masses of the two balls?
Question
of the object? 7. A bowling ball rolled with a force of 15 N accelerates at a rate of 3 m/sec 2 ; a second ball rolled with the same force accelerates 4 m/sec 2 . What are the masses of the two balls?
Solution
To find the mass of an object, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by the acceleration of the object (F = ma).
For the first bowling ball:
- We know the force (F) is 15 N and the acceleration (a) is 3 m/s^2.
- We can rearrange the formula to solve for mass (m): m = F/a.
- Substituting the given values into the formula, we get: m = 15 N / 3 m/s^2 = 5 kg.
So, the mass of the first bowling ball is 5 kg.
For the second bowling ball:
- We know the force (F) is 15 N and the acceleration (a) is 4 m/s^2.
- We can rearrange the formula to solve for mass (m): m = F/a.
- Substituting the given values into the formula, we get: m = 15 N / 4 m/s^2 = 3.75 kg.
So, the mass of the second bowling ball is 3.75 kg.
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