A 2500kg car is travelling due west at 30m/s when the brakes are applied, exerting a force of 5000 N [E]. What is the car's acceleration due to the braking?
To find the car's acceleration due to the braking, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The given information in the problem is as follows:
Mass of the car (m) = 2500 kg
Force exerted by the brakes (F) = 5000 N [E]
Velocity of the car before braking (v) = 30 m/s
The net force acting on the car can be calculated using the formula:
Net force (F_net) = Force applied by brakes (F)
Now, let's calculate the acceleration using the formula:
Acceleration (a) = Net force (F_net) / Mass (m)
First, we need to find the net force:
F_net = F
= 5000 N [E]
Substituting the values into the formula for acceleration:
a = F_net / m
= 5000 N [E] / 2500 kg
= 2 m/s^2 [E]
Therefore, the car's acceleration due to braking is 2 m/s^2 [E], where "E" represents the east direction.
To find the car's acceleration due to the braking, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, the net force is the force applied by the brakes, and the mass is the mass of the car. We are given that the force applied by the brakes is 5000 N [E] (due east), and the mass of the car is 2500 kg. However, since the car is traveling due west, the force applied by the brakes is acting in the opposite direction to the motion of the car.
To solve this problem, we need to first determine the direction of acceleration. Since the car is initially traveling due west, and the force applied by the brakes is to the east, the acceleration will also be in the east direction.
Now, we can plug in the values into the equation:
Force = Mass * Acceleration
5000 N [E] = 2500 kg * Acceleration [E]
Next, we solve for the acceleration:
Acceleration = Force / Mass
Acceleration = 5000 N / 2500 kg
Acceleration = 2 m/s^2 [E]
Therefore, the car's acceleration due to the braking is 2 m/s^2 in the east direction.
Just look at the direction of the force: acceleartion due to braking will be in that direction only
In your chosen direction
F=ma