Calculate the braking force for a car of mass 1200 kg travelling at 12 m/s if its braking distance at that speed is 20 m.
Question
Calculate the braking force for a car of mass 1200 kg travelling at 12 m/s if its braking distance at that speed is 20 m.
Solution
Sure, let's calculate the braking force step by step.
-
First, we need to calculate the kinetic energy of the car using the formula: KE = 1/2 * m * v^2 Where m is the mass of the car and v is its velocity. So, KE = 1/2 * 1200 kg * (12 m/s)^2 = 86,400 Joules
-
Next, we need to calculate the work done to stop the car. The work done is equal to the kinetic energy of the car, which is 86,400 Joules.
-
The work done is also equal to the force applied times the distance over which it is applied (W = F * d). We can rearrange this formula to solve for the force: F = W / d
-
Substituting the values we have: F = 86,400 Joules / 20 m = 4320 N
So, the braking force required to stop the car is 4320 Newtons.
Similar Questions
Find the total stopping distance of a car with a braking force of 5000 N, a mass of 1000 kg and moving at a speed of 20 m/s.
If the kinetic energy of a car travelling at 20 m/s is 200 000 J and its braking distance at that speed is 50 m what is the braking force?
s = 12t - 3t2The above equation expresses the distance, s, in meters, traveled by a vehicle in t seconds after the application of brakes. The vehicle which was moving with a velocity of 12 meters/second traveled 12 meters after the application of brakes before coming to a stop. What will be the time taken (in seconds) by the vehicle to stop after the application of brakes?
The force required to stop a car of mass 800 kg moving at speed of 20 m/sec over distance of 25 m in 2.5 sec is
A car moving initially at a speed of 50 mi/h (=80 km/h) and weighing 3000 lb (=13,000 N) isbrought to a stop in a distance of 200 ft (=61 m). Find (a) the braking force and (b) the timerequired to stop. Assuming the same braking force, find (c) the distance and (d ) the timerequired to stop if the car were going 25 mi/h (=40 km/h) initially.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.