Question

A baseball with a mass of 300 g has a kinetic energy of 304 J. Calculate the speed of the baseball

Answer 1

The formula for kinetic energy is equal to 1/2mv^2, where "m" is the mass of the object (in kilograms) and "v" is equal to the velocity of the object (in meters per second). To calculate the speed, simply plug in the values and solve.

KE = 0.5mv^2

304 J = 0.5(0.3 kg)v^2         -mass converted from grams to kilograms

v = 45.02 m/s

The baseball is travelling about 45.02 meters per second.

Hope this helps!

Answer 2

The speed of the baseball is 45.02 metres per seconds square.

Given the following data;

• Mass = 300 grams

• Kinetic energy = 304 Joules

Conversion:

1000 grams = 1 kilogram

300 grams = X kilograms

Cross-multiplying, we have;

X × $1000$ = $300$

X = $\frac{300}{1000} = 0.3$ kilograms.

To find the speed of the baseball;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

$K.E = \frac{1}{2}MV^2$

Where;

• K.E represents kinetic energy measured in Joules.

• M represents mass measured in kilograms.

• V represents speed measured in metres per seconds square.

Substituting the values into the formula, we have;

$304 = \frac{1}{2}$ × $0.3$ × $V^{2}$

$608 =$  $0.3$ × $V^{2}$

Dividing both sides by 0.3, we have;

$V^{2} = \frac{608}{0.3}\\\\V^{2} = 2026.67$

Taking the square root of both sides, we have;

$V = \sqrt{2026.67}$

V = 45.02 metres per seconds square.

Therefore, the speed of the baseball is 45.02 metres per seconds square.

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