Answer :
The average braking force on the 1500 kg car is approximately 12,000 N, determined from the braking distance and initial velocity data for different speeds.
To analyze the braking performance of a 1500 kg car, we can use the equation F = mv^2 / (2d), where F is the braking force, m is the mass of the car, v is the initial velocity, and d is the braking distance.
For v = 10 m/s and d = 6.1 m:
F = (1500 kg * (10 m/s)^2) / (2 * 6.1 m)
F ≈ 75,000 N
For v = 20 m/s and d = 23.9 m:
F = (1500 kg * (20 m/s)^2) / (2 * 23.9 m)
F ≈ 30,000 N
For v = 30 m/s and d = 53.5 m:
F = (1500 kg * (30 m/s)^2) / (2 * 53.5 m)
F ≈ 12,000 N
The magnitude of the average braking force on the car is most nearly 12,000 N, so the correct answer is:
C. 12,000 N.
The question probable may be:
Speed 10m/s 20m/s 30m/s
braking distance 6.1m 23.9m 53.5m
to analyze the characteristics and performance of the brakes on a 1500 kg car, researchers collected the data shown in the table above. it shows the car’s speed when the brakes are first applied and the corresponding braking distance required to stop the car. the magnitude of the average braking force on the car is most nearly:
A. 75,000 N
B. 30,000 N
C. 12,000N
D. 1600 N
Final answer:
To find the average braking force on a 1500 kg car, researchers will need to calculate the change in kinetic energy as the car decelerates to a stop, and then divide this work by the braking distance. The braking force is also impacted by factors such as the coefficient of friction and road conditions.
Explanation:
To analyze the characteristics and performance of the brakes on a 1500 kg car, researchers will need to understand the relationship between the initial speed of the car, the braking distance, and the braking force required to stop the car. Using the work-energy principle, one can calculate the work done by the brakes (which is equal to the change in kinetic energy) to find the average force exerted. This can be done by using the formula: Work = (1/2)mv2, where 'm' is the mass of the car and 'v' is the initial speed.
Then, using the relationship between work and force (where Work = Force x Distance), the average force can be calculated as the total work done divided by the braking distance. However, it's important to note that the coefficient of friction, road conditions, and reaction time are also significant factors that can affect the braking distance and required force.
