A car with a mass of 1500 kg moves at 26 m/s. What braking force is needed to bring the car to a halt in 10 s?
force*time=mass*velocty
To find the braking force needed to bring the car to a halt, we need to 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.
In this case, the car is moving with an initial velocity and it needs to be brought to a halt, which means its final velocity will be 0 m/s. The time taken to bring the car to a halt is given as 10 seconds.
First, we need to calculate the acceleration of the car using the equation:
acceleration = (change in velocity) / (time taken)
The change in velocity is the difference between the initial velocity (26 m/s) and the final velocity (0 m/s):
change in velocity = final velocity - initial velocity
Substituting the values:
change in velocity = 0 m/s - 26 m/s
= -26 m/s
Now, we can calculate the acceleration:
acceleration = (-26 m/s) / (10 s)
Using the equation F = ma, where F is the force, m is the mass, and a is the acceleration, we can find the braking force:
force = mass x acceleration
Substituting the given values:
force = 1500 kg x (-26 m/s) / (10 s)
Calculating this expression gives us the value of the braking force needed to bring the car to a halt.