An 1,042 kg car traveling at 32 m/s starts to slow down and comes to a complete stop in 616 m. What is the magnitude of the average braking force acting on the car?Note: Write your answer in normal format up to 2 decimal points. Example: 12.34. Please DO NOT write the units in the electronic format. Definitely, write the units on paper. If I don't find the units in your hand-written notes, then marks will be deducted.
Question
An 1,042 kg car traveling at 32 m/s starts to slow down and comes to a complete stop in 616 m. What is the magnitude of the average braking force acting on the car?Note: Write your answer in normal format up to 2 decimal points. Example: 12.34. Please DO NOT write the units in the electronic format. Definitely, write the units on paper. If I don't find the units in your hand-written notes, then marks will be deducted.
Solution
To solve this problem, we first need to find the deceleration of the car. We can use the equation of motion:
v^2 = u^2 + 2as
where: v = final velocity = 0 m/s (since the car comes to a stop) u = initial velocity = 32 m/s a = acceleration (which will be negative as it's deceleration) s = distance = 616 m
Rearranging the equation to find 'a', we get:
a = (v^2 - u^2) / 2s
Substituting the given values:
a = (0 - (32)^2) / (2*616) = -1.67 m/s^2
Now, we can find the force using Newton's second law, F = ma:
F = 1,042 kg * -1.67 m/s^2 = -1740.14 N
The negative sign indicates that the force is acting in the opposite direction to the motion of the car, which makes sense as it's a braking force. However, since the question asks for the magnitude of the force, we take the absolute value, which is 1740.14 N.
Similar Questions
An automobile traveling at a speed of 28.1 m/s applies its brakes and comes to a stop in 4.9 s. If the automobile has a mass of 9.0 102 kg, what is the average horizontal force exerted on it during braking? Assume the road is level.
A 14560 N car is traveling at 25 m/s. The brakes are applied suddenly, and the car slides to a stop. The average braking force between the tires and the road is 7280 N. How far will the car slide once the brakes are applied? Assume that air resistance is negligible.
A car is travelling at 66 km/h and subjected to a deceleration of 4 m/s2 when the brakes are applied and the car finally comes to a stop. Determine the following:(a) the time it takes for the car to stop, t = Answer seconds,(b) the distance (in metres) the car travels in this time, s = Answer metres.
An 1800 kg car traveling at 35.0 m/s strikes a wall. If the car comes to rest in 0.500 seconds, then the magnitude of the average force of the wall on the car is
Look at the equation below. How much force would it take for a 1000 kg car that is travelling at 30 m/s to come to a stop within 3 seconds?
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.