A baby carriage is rolling down a hill at 18 m/s. If the carriage has 1600 J of kinetic energy, what is the mass of the carriage?
since KE = 1/2 mv^2,
1/2 m * 18^2 = 1600
To find the mass of the carriage, we need to use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given that the kinetic energy is 1600 J and the velocity is 18 m/s, we can solve for the mass of the carriage.
1600 J = (1/2) * mass * (18 m/s)^2
First, we square the velocity:
(18 m/s)^2 = 324 m^2/s^2
Then we rearrange the equation to solve for mass:
mass = (2 * kinetic energy) / (velocity^2)
mass = (2 * 1600 J) / 324 m^2/s^2
mass = 3200 J / 324 m^2/s^2
Now we can calculate the mass:
mass ≈ 9.877 kg
Therefore, the mass of the carriage is approximately 9.877 kg.