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A car (m = 1850 kg) is parked on a road that rises 19° above the horizontal. What are the magnitudes of (a) the normal force

User Raymel
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1 Answer

1 vote

Sure!

Step 1: Determine the problem data

The mass of the car, m, is 1850 kg.
The angle of the incline θ is 19 degrees.
The acceleration due to gravity, g, is 9.81 m/s^2.

Step 2: Convert the angle from degrees to radians.

In mathematical calculations, the angle of inclination is often used in radian measure. In Python, this conversion is usually done by using the math.radians function, but I will do it for you:

For converting from degrees to radians, we use the formula: Radian = Degree x π/180

So, θ in radians = 19 * π/180 = 0.3316 radians.

Step 3: Calculate the normal force.

The normal force on an object at rest on an incline, like our car, is equal to the weight of the object (its mass times the acceleration due to gravity) times the cosine of the angle of the incline:

Fn = m * g * cos(θ)

Substituting the known values, we get:

Fn = 1850kg * 9.81m/s^2 * cos(0.3316 rad)

After calculating the above expression, we find the value of the normal force Fn is approximately 17159.743869264203 N.

User Lnmx
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