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Korolek [52]
3 years ago
14

A bowling ball travels at 2.0 m/s. it has 16j of kinetic energy. What is the mass of the bowling ball in kilograms?

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0
v=2\ m/s\\\\E_k=16\ J=16\ \frac{kgm^2}{s^2}\\\\E_k=\frac{mv^2}{2}\\\\\frac{m\cdot(2\ m/s)^2}{2}=16\ \frac{kgm^2}{s^2}\\\\\frac{m\cdot4\ m^2/s^2}{2}=16\ \frac{kgm^2}{s^2}\\\\2m\ m^2/s^2=16\ \frac{kgm^2}{s^2}\ \ /:2\ m^2/s^2\\\\m=8\ kg-answer
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Solution--->We know that

1) ( a + b )² = a² + b² + 2ab

2) ( a - b )² = a² + b² - 2ab

ATQ,

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=> ( x + 1 / x )² = ( 2 p )²

Applying first formula, we get,

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ATQ, x - 1 / x = 2q + 1

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=> ( x - 1 / x )² = ( 2q + 1 )²

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Taking + sign we get,

2q + 1 = 2p

Taking ( - ) sign we get

2q + 1 = -2p

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