What is the mass of a car that has a kinetic energy if 4,320,000J moving at 23 m/s
KE = 1/2 m*V^2. Substitute nd solve.
To determine the mass of the car, we can use the formula for kinetic energy, which is given by:
KE = (1/2) * m * v^2
where:
- KE is the kinetic energy
- m is the mass
- v is the velocity of the car
In this case, we are given the kinetic energy (KE) as 4,320,000 J and the velocity (v) as 23 m/s. We can rearrange the formula to solve for the mass (m):
m = (2 * KE) / v^2
Substituting the given values into the formula, we get:
m = (2 * 4,320,000 J) / (23 m/s)^2
First, let's square the velocity:
v^2 = 23 m/s * 23 m/s
v^2 = 529 m^2/s^2
Next, we substitute this value into the formula:
m = (2 * 4,320,000 J) / 529 m^2/s^2
Now, we can calculate the mass of the car:
m = (2 * 4,320,000 J) / 529 m^2/s^2
m = 8,640,000 J / 529 m^2/s^2
m ≈ 16,325.37 kg (rounded to two decimal places)
Therefore, the mass of the car is approximately 16,325.37 kg.