A 55 kg student traveling in a car with a constant velocity has a kinetic energy of 1.6 104 J. What is the speedometer reading of the car in km/h?
To find the speedometer reading of the car in km/h, we need to use the formula for kinetic energy:
Kinetic energy = (1/2) * mass * velocity^2
Given that the student's mass (m) is 55 kg and the kinetic energy (KE) is 1.6 * 10^4 J, we can solve for velocity (v) using the formula:
1.6 * 10^4 J = (1/2) * 55 kg * v^2
We can rearrange the equation to solve for v:
v^2 = (2 * 1.6 * 10^4 J) / 55 kg
v^2 = 2.92 * 10^2 m^2/s^2
Taking the square root of both sides:
v ≈ √(2.92 * 10^2) m/s
v ≈ 17.08 m/s
Now, to convert m/s to km/h, we multiply by 3.6:
v ≈ 17.08 m/s * 3.6 km/h
v ≈ 61.49 km/h
Therefore, the speedometer reading of the car would be approximately 61.49 km/h.
KE=(1/2)mv^2
find v (m/s)
convert m/s into km/hr.