Question

the speed of the 3500-lb sports car is plotted over 30 s time period. Plot the variation of the traction force F needed to cause the motion. at 10 seconds 60 m/s and at 30s 80 m/s

Answer 1

To calculate the traction force required for the specified change in speed of the sports car, first convert the car's weight to mass, then calculate acceleration, and finally apply Newton's second law to find the force.

Step-by-step explanation:

Calculating Traction Force

To find the traction force F needed to cause the motion mentioned in the given scenario, we need to apply Newton's second law of motion, which states that force equals mass times acceleration (F=ma). First, we convert the weight of the sports car from pounds to kilograms, knowing that 1 lb is approximately equal to 0.453592 kg. This gives us a mass
m = 3500 lb * 0.453592 kg/lb ≈ 1587.57 kg.

Next, we calculate the acceleration, a, by finding the change in velocity over the change in time. The sports car increases its speed from 60 m/s at 10 seconds to 80 m/s at 30 seconds. This gives us a = (80 m/s - 60 m/s) / (30 s - 10 s) = 1 m/s².

Finally, we apply Newton's law to calculate the force: F = m * a = 1587.57 kg * 1 m/s² ≈ 1587.57 N.