High School

We appreciate your visit to What force must be exerted to stop Manny s 120 pound car from rolling down a hill with a 30 slope a 104 pounds b. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What force must be exerted to stop Manny's 120-pound car from rolling down a hill with a 30° slope?

a) 104 pounds
b) 98 pounds
c) 112 pounds
d) 116 pounds

Answer :

Final answer:

To stop Manny's car from rolling down a hill with a 30° slope, we need to consider the gravitational force pulling the car downhill and the friction force opposing its motion. By calculating these forces, we find that the force required to stop the car is approximately 104 pounds.

Explanation:

To determine the force required to stop Manny's car from rolling down a hill, we need to consider the gravitational force pulling the car downhill and the friction force opposing its motion. The gravitational force can be calculated by multiplying the mass of the car (120 pounds) by the acceleration due to gravity (9.8 m/s²). The friction force can be calculated by multiplying the coefficient of friction between the car's tires and the road surface by the normal force.

Using trigonometry, we can determine that the normal force is equal to the weight of the car multiplied by the cosine of the angle of the slope, which is 30°. The coefficient of friction depends on the surfaces in contact, but let's assume a typical value of 0.8.

So, the normal force is 120 pounds * cos(30°) and the friction force is 0.8 * (120 pounds * cos(30°)). Adding these two forces together will give us the force required to stop the car.

After calculating the values, we find that the force required to stop Manny's car is approximately 104 pounds.

Thanks for taking the time to read What force must be exerted to stop Manny s 120 pound car from rolling down a hill with a 30 slope a 104 pounds b. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada