the speed of a 5000-kg truck whose KE is 360 kJ is how many m/s?
To find the speed of the truck, we can use the equation for kinetic energy:
KE = (1/2) * m * v^2
Where:
KE = Kinetic energy (in joules)
m = Mass of the truck (in kilograms)
v = Velocity of the truck (in meters per second)
Given:
Mass of the truck (m) = 5000 kg
Kinetic energy (KE) = 360 kJ = 360,000 J
Rearranging the equation, we can solve for v:
v^2 = (2 * KE) / m
v^2 = (2 * 360,000 J) / 5000 kg
v^2 = 72,000 J / 5000 kg
Now, let's calculate the value of v:
v^2 = 14.4 m^2/s^2
To find v, we take the square root of both sides of the equation:
v = sqrt(14.4 m^2/s^2)
Calculating the square root:
v ≈ 3.79 m/s
Therefore, the speed of the 5000-kg truck, given its kinetic energy of 360 kJ, is approximately 3.79 m/s.