Question

A car is on a driveway that is inclined 6 to the horizontal. A force of 410 lb is required to keep the car from rolling down the driveway. Find the weight of the car

Answer 1

The weight of the car is found by dividing the force required to keep it from rolling down the incline (410 lb) by sin(6°), resulting in a weight of approximately 3909.64 lb.

Step-by-step explanation:

To find the weight of the car on an incline, we can use the equation for parallel forces on an inclined plane. The force required to keep the car from rolling down is the component of the weight acting parallel to the slope of the incline. Given that a force of 410 lb is required to keep the car from rolling down a 6° incline, we can set up the equation:

Parallel force = weight × sin(θ)

410 lb = weight × sin(6°)

To solve for weight, we divide both sides of the equation by sin(6°):

weight = 410 lb / sin(6°)

Using a calculator, we find that the weight of the car is approximately 3909.64 lb.