A sports car has a weight of 9,300 N and can accelerate from rest to a velocity of 30.0 m/s in a measured time of 11s.1)what is the mass of the car? 2) what is the kinetic energy of the car at the end of this acceleration?
To find the mass of the car, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m*a). In this case, the force acting on the car is the weight, which is given as 9,300 N, and the acceleration is the change in velocity divided by the time taken (a = Δv / t).
1) To find the mass of the car, we first need to calculate the acceleration using the given information:
Acceleration (a) = Change in velocity (Δv) / Time (t) = 30.0 m/s / 11 s = 2.727 m/s^2
Now, we can rearrange Newton's second law of motion to solve for the mass (m):
m = F / a
Substituting the values:
m = 9,300 N / 2.727 m/s^2 ≈ 3,412 kg
Therefore, the mass of the car is approximately 3,412 kg.
2) To calculate the kinetic energy of the car at the end of this acceleration, we can use the equation for kinetic energy:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Substituting the values:
KE = (1/2) * 3,412 kg * (30.0 m/s)^2 ≈ 459,180 Joules
Therefore, the kinetic energy of the car at the end of this acceleration is approximately 459,180 Joules.