Answer:
stress = 16.9 MPa
Explanation:
The stress in the cable can be calculated as:
Where F is the force and A is the area. So, the area can be calculated as:
Where r is the radius. Since the radius is half the diameter, the radius is 4.0 mm and the area will be equal to:
Then, replacing the force F by 850 N, and A by 50.24 mm², we get that the stress is equal to:
Therefore, the answer is 16.9 MPa
Answer:
6.5 m
Explanation:
First of all, we need to compute the acceleration of the skier. We know that there is only force acting on the skier: the force of friction, which is in the opposite direction to the motion of the skier. Using 2nd Newton Law:
where is the force of friction, with
is the coefficient of kinetic friction
m is the mass of the skier
is the acceleration due to gravity
Re-arranging the equation, we find:
So now we can use the following SUVAT equation to calcualte the total displacement of the skier before stopping:
where
v = 0 is the final velocity
u = 5.30 m/s is the initial velocity
a = -2.16 m/s^2 is the acceleration
d = ? is the displacement
Solving the formula for d, we find: