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The formula of the kinetic energy is:
K.E = [tex] \frac{1}{2} [/tex]mv²

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

Plug them in:

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

[tex] \frac{100}{12.5} [/tex] = [tex] \frac{12.5m}{12.5} [/tex]
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 = [tex]\frac{1}{2}m v^{2}[/tex].

Where m = mass , v = velocity.

Plugging the values

100 = [tex]\frac{1}{2}m (5)^{2}[/tex].

100 =  [tex]\frac{1}{2}m 25[/tex].

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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