# What is the speed of a 0.148 kg baseball if its kinetic energy is 107 J ? Answer in units of m/s.

The units of kinetic energy is Joules:

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To find the speed of the baseball, we can use the formula for kinetic energy:

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

Where: ( KE ) = Kinetic Energy (given as 107 J) ( m ) = Mass of the baseball (given as 0.148 kg) ( v ) = Speed of the baseball (what we need to find)

Rearranging the formula to solve for ( v ):

[ v = \sqrt{\frac{2KE}{m}} ]

Substitute the given values:

[ v = \sqrt{\frac{2 \times 107 , \text{J}}{0.148 , \text{kg}}} ]

[ v = \sqrt{\frac{214 , \text{J}}{0.148 , \text{kg}}} ]

[ v = \sqrt{1445.95} , \text{m/s} ]

[ v \approx 37.99 , \text{m/s} ]

So, the speed of the baseball is approximately ( 37.99 , \text{m/s} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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