Final answer:
a. The force weight of the car is 5145 N. b. The force friction acting on the car is 216.09 N. c. The net force acting on the car is 158.91 N. d. The acceleration of the car is 0.714 m/s².
Step-by-step explanation:
a. To calculate the force weight of the car, we can use the formula:
Force weight = mass * acceleration due to gravity
Given that the mass of the car (m) is 525 kg and the acceleration due to gravity (g) is 9.8 m/s², we can substitute these values into the formula:
Force weight = 525 kg * 9.8 m/s² = 5145 N
So, the force weight of the car is 5145 N.
b. To calculate the force friction acting on the car, we can use the formula:
Force friction = coefficient of friction * force weight
Given that the coefficient of friction (µ) is 0.0420 and the force weight is 5145 N, we can substitute these values intothe formula:
Force friction = 0.0420 * 5145 N = 216.09 N
So, the force friction acting on the car is 216.09 N.
c. The net force acting on the car can be calculated by subtracting the force friction from the force applied by the engine:
Net force = force applied - force friction
Given that the force applied by the engine is 375 N and the force friction is 216.09 N, we can substitute these values into the formula:
Net force = 375 N - 216.09 N = 158.91 N
So, the net force acting on the car is 158.91 N.
d. To calculate the acceleration of the car, we can use Newton's second law of motion:
Force = mass * acceleration
Given that the force applied by the engine is 375 N and the mass of the car is 525 kg, we can substitute these values into the formula:
375 N = 525 kg * acceleration
Solving for acceleration:
acceleration = 375 N / 525 kg = 0.714 m/s²
So, the acceleration of the car is 0.714 m/s².