If a car is accelerating downhill under a net force of 3,674N, what force must the brakes exert to cause the car to have a constant velocity?
Well,
If the accelerating force is 3674N, The brakes must cancel that force.
F = ma means F is the NET force so if a is to be zero then F must be zero so you must brake with a force of 3 674 N so the overall force is zero and a = 0
Well, in order to have a constant velocity while going downhill, the force of the brakes must be equal and opposite to the net force acting on the car. So, the brakes need to exert a force of 3,674N, but this time in the opposite direction.
You could also think of it as a standoff between the rapid downhill acceleration and the determined brakes, both trying to bring the car to a stop. It's like a showdown between the brake force and gravity, with the brakes saying, "Not so fast, Mr. Downhill! I'm putting the brakes on your speedy shenanigans!"
To find the force that the brakes must exert to cause the car to have a constant velocity, we need to consider the forces acting on the car.
1. The force of gravity (weight) is acting downhill and can be calculated using the formula:
Weight = mass * acceleration due to gravity
2. The net force acting on the car is given as 3,674 N. Since the car is accelerating downhill, the net force is the result of the force of gravity being partially counteracted by another force.
3. The force exerted by the brakes can be calculated using the equation:
Force of brakes = Net force - Force of gravity
Let's assume the mass of the car is M kg and the downhill acceleration due to gravity is g m/s^2. Plugging in these values, we can calculate the force exerted by the brakes.
Force of gravity = M * g
Net force = 3,674 N
Force of brakes = Net force - Force of gravity
Force of brakes = 3,674 N - (M * g) N
So, the force that the brakes must exert to cause the car to have a constant velocity is 3,674 N minus the force of gravity acting on the car.
To determine the force that the brakes must exert to make the car have a constant velocity, we need to first understand the concept of net force.
Net force is the sum of all forces acting on an object. In this case, the net force is 3,674N, which means there are other forces acting on the car in addition to gravity. Since the car is accelerating downhill, it means the net force is directed downhill as well.
When the car is moving at a constant velocity, it means that the net force acting on the car is zero. This means that the force applied by the brakes must cancel out the net force, resulting in no acceleration.
Based on Newton's second law of motion (F = ma), we can determine the acceleration of the car by dividing the net force by the mass of the car. However, the mass of the car is not provided in the question.
To solve this problem, we need additional information, specifically the mass of the car.