What is the change in kinetic energy of a baseball as it accelerates from rest to 45.0 m/s? The mass of a baseball is 145 grams. answer in joules
147
To calculate the change in kinetic energy of the baseball, we can use the following formula:
Change in kinetic energy = 1/2 * mass * (final velocity^2 - initial velocity^2)
First, we need to convert the mass of the baseball from grams to kilograms. Since there are 1000 grams in a kilogram, we divide the mass by 1000:
Mass = 145 grams / 1000 = 0.145 kg
Next, we can plug in the values into the formula:
Change in kinetic energy = 1/2 * 0.145 kg * (45.0 m/s)^2 - 0 m/s)^2
Simplifying further:
Change in kinetic energy = 1/2 * 0.145 kg * (45.0 m/s)^2
Now, let's calculate the final result:
Change in kinetic energy = 1/2 * 0.145 kg * (45.0 m/s)^2
Change in kinetic energy = 0.5 * 0.145 kg * (45.0 m/s)^2
Multiplying the numbers:
Change in kinetic energy = 0.5 * 0.145 kg * (2025 m^2/s^2)
Finally, we multiply the remaining numbers:
Change in kinetic energy = 0.0725 kg * (2025 m^2/s^2)
And perform the calculation:
Change in kinetic energy = 146.8125 Joules
Therefore, the change in kinetic energy of the baseball as it accelerates from rest to 45.0 m/s is approximately 146.8125 Joules.