A skier of mass 54.6 kg comes down a slope of constant angle 21◦ with the horizontal.
The acceleration of gravity is 9.8 m/s2 .
What is the force on the skier parallel to the slope?
Answer in units of N
See previous post.
To calculate the force on the skier parallel to the slope, we can use the formula:
Force = mass × acceleration
In this case, the acceleration is the component of the gravitational force along the slope, which can be calculated using trigonometry.
The gravitational force can be split into two components: the force perpendicular to the slope and the force parallel to the slope. The force perpendicular to the slope is given by:
Force_perpendicular = mass × gravitational acceleration × cos(angle)
The force parallel to the slope is given by:
Force_parallel = mass × gravitational acceleration × sin(angle)
Substituting the given values:
mass = 54.6 kg
gravitational acceleration = 9.8 m/s^2
angle = 21 degrees
Using the formulas above, we can calculate the force parallel to the slope:
Force_parallel = 54.6 kg × 9.8 m/s^2 × sin(21 degrees)
Calculating this expression gives us the force parallel to the slope.