High School

Albert skis down a hill at an angle of 19°. He has a mass of 101 kg. What is the normal force on Albert?

A. 322 N
B. 936 N
C. 652 N
D. 910 N

Answer :

Final answer:

To calculate the normal force on Albert as he skis down a 19° slope, the formula N = mg • cos(θ) is used. By substituting in the given values, the normal force comes out to be approximately 936 N.

Explanation:

The problem asks us to determine the normal force on Albert as he skis down a hill at a 19° angle with a mass of 101 kg. To calculate the normal force on Albert as he skis down a 19° slope, the formula N = mg • cos(θ) is used. By substituting in the given values, the normal force comes out to be approximately 936 N.

The normal force on an object on an incline is the component of the object's weight that is perpendicular to the surface of the slope.

To find the normal force, we use the following equation: N = mg • cos(θ), where N is the normal force, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s2), and θ is the angle of incline with the horizontal. Plugging in the values provided, we get N = 101 kg • 9.8 m/s2 • cos(19°), which gives us an approximate normal force of 936 N.