calculate K.E in Joules of a baseball w/ a mass of 237.2 cg moving at 85.00 mph
stuck on this one!
What is 1/2 mv^2
m in kilograms, or 2.37grams or .00237 kg
v=velocity in m/s=85miles/hr*1hr/3600sec * 1609m/mile
= 37.9984 m/s
ke= 1/2 m v^2
convert mph to m/s
convert cg(?) to kg
K.E. = 1/2 m v^2
To calculate the kinetic energy (K.E.) of an object, you need to use the equation:
K.E. = 0.5 * mass * velocity^2
Let's start by converting the given values to the correct units:
- The mass of the baseball is given as 237.2 cg (centigrams). To convert to kilograms, divide by 100. So, the mass in kilograms is 2.372 kg.
- The velocity is given as 85.00 mph (miles per hour). To convert to meters per second (m/s), multiply by 0.44704. So, the velocity in m/s is 38.0848 m/s.
Now that we have the mass and velocity in the correct units, we can calculate the kinetic energy:
K.E. = 0.5 * mass * velocity^2
= 0.5 * 2.372 kg * (38.0848 m/s)^2
Calculating the expression inside the brackets first:
(38.0848 m/s)^2 = 1449.160353 m^2/s^2
Now we can substitute this value back into the kinetic energy equation:
K.E. = 0.5 * 2.372 kg * 1449.160353 m^2/s^2
Simplifying the equation:
K.E. = 0.5 * 2.372 kg * 1449.160353 m^2/s^2
= 1728.07877194 kg * m^2/s^2
Finally, since 1 Joule (J) is equal to 1 kg * m^2/s^2, you can convert the result to Joules:
K.E. = 1728.07877194 kg * m^2/s^2
≈ 1728.08 J
Therefore, the kinetic energy of the baseball is approximately 1728.08 Joules.