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The formula of the kinetic energy is:
K.E = \(\frac{1}{2}\)mv²

The given are
K.E = 100 J
v = 5 m/s

Plug them in:

100 = \(\frac{1}{2}\)m × (5)²
100 = \(\frac{1}{2}\)m × 25
100 = 12.5m
Divide by 12.5 on either sides to isolate m

\(\frac{100}{12.5}\) = \(\frac{12.5m}{12.5}\)
12.5 and 12.5 cancels out
8 kg = m
The mass of the baseball that has a kinetic energy of 100 J and speed of 5 m/s is 8 kg

Answer:

mass = 8 kg.

Step-by-step explanation:

Given  : kinetic energy of 100 J and is traveling at 5 m/s?

To find : What is the mass of a baseball.

Solution : We have given

Kinetic energy = 100 J.

Velocity = 5 m/s.

Kinetic energy = \(\frac{1}{2}m v^{2}\).

Where m = mass , v = velocity.

Plugging the values

100 = \(\frac{1}{2}m (5)^{2}\).

100 =  \(\frac{1}{2}m 25\).

On multipkying both sides by 2

200 = 25 m

On dividing both sides by 25

mass = 8 kg.

Therefore, mass = 8 kg.

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