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SVEN [57.7K]
3 years ago
7

A 58-kg boy swings a baseball bat, which causes a 0.140-kg baseball to move toward 3rd base with a velocity of 38.0 m/s.

Physics
2 answers:
mixer [17]3 years ago
5 0

Answer:

101 J

Explanation:

statuscvo [17]3 years ago
3 0

Answer:

\boxed {\boxed {\sf 101 \ Joules}}

Explanation:

Kinetic energy can be found using the following formula:

KE=\frac{1}{2}mv^2

The mass of the baseball is 0.140 kilograms and the velocity is 38.0 meters per second.

m= 0.140 \ kg \\v= 38.0 \ m/s

Substitute the values into the formula.

KE=\frac{1}{2} [0.140 \ kg][(38.0 \ m/s)^2]

First, evaluate the exponent.

  • (38.0 m/s)²= 38.0 m/s * 38.0 m/s = 1444 m²/s²

KE=\frac{1}{2}(0.140 \ kg)(1444 \ m^2/s^2)

Multiply the two numbers in parentheses together.

KE=\frac{1}{2}(202.16 \ kg*m^2/s^2)

Multiply the fraction by the number, or divide the number by 2.

KE=101.08 \ kg*m^2/s^2

Round to the nearest whole number. The 0 in the tenth place tells us we can leave the number as is.

KE\approx 101 \ kg*m^2/s^2

1 kg*m²/s² is equal to 1 Joule. Therefore, our answer of 101 kg*m²/s² is equal to 101 Joules (J).

KE\approx 101 \ J

The kinetic energy of the baseball is about 101 Joules.

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(a)
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