a pitcher baseball moves at 44 M/s . It has 150 J of kinetic energy on its way to the catcher. What is the baseball 's mass?
KE = 1/2 mv^2
150 = 1/2 m (44^2) = 968m
m = .155kg = 155g
To find the mass of the baseball, we can use the formula for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Given:
Kinetic Energy (KE) = 150 J
Velocity (v) = 44 m/s
Plugging the values into the formula:
150 J = (1/2) * mass * (44 m/s)^2
Multiplying out:
150 J = (1/2) * mass * 1936 m^2/s^2
Dividing both sides by (1/2) * 1936 m^2/s^2:
150 J / ((1/2) * 1936 m^2/s^2) = mass
Simplifying:
150 J / 968 m^2/s^2 = mass
The mass of the baseball is approximately 0.155 kg.
To find the baseball's mass, we can use the formula for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Given:
Kinetic Energy (KE) = 150 J
Velocity (v) = 44 m/s
Rearranging the formula, we can solve for mass:
mass = (2 * KE) / v^2
Substituting the given values, we have:
mass = (2 * 150 J) / (44 m/s)^2
Now, let's calculate the mass.
mass = (2 * 150) / (44^2)
mass = (2 * 150) / 1936
mass = 300 / 1936
mass ≈ 0.155 kg
Therefore, the baseball's mass is approximately 0.155 kg.