Question

In: Physics

A skier is skiing downhill at constant speed. The slope is inclined at 10o with respect...

A skier is skiing downhill at constant speed. The slope is inclined at 10^o with respect to the horizontal. The skier’s mass is 65 kg, what is the value of the coefficient of kinetic friction between the skis and the snow?

	a.	0.98
	b.	0.18
	c.	5.7
	d.	0.17

Expert Solution

Gravitational acceleration = g = 9.81 m/s²

Mass of the skier = m = 65 kg

Angle of the incline = = 10^o

Normal force on the skier from the incline = N

Coefficient of kinetic friction between the skis and the snow =

Friction force on the skier = f

f = N

The skier is skiing down at constant speed therefore the skier has no acceleration and hence all the forces on the skier are balanced.

From the free body diagram,

N = mgCos

f = mgCos

mgSin = f

mgSin = mgCos

Tan =

= Tan(10)

= 0.176

Rounding off,

= 0.18

Coefficient of kinetic friction between the skis and the snow = 0.18

genius_generous answered 6 months ago

A skier starts from rest at the top of a hill that is inclined at 10.8°...

A skier starts from rest at the top of a hill that is inclined at 10.8° with respect to the horizontal. The hillside is 245 m long, and the coefficient of friction between snow and skis is 0.0750. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier glide along the horizontal portion of the snow before coming to rest?

A skier starts from rest at the top of a hill that is inclined at 10.9°...

A skier starts from rest at the top of a hill that is inclined at 10.9° with respect to the horizontal. The hillside is 190 m long, and the coefficient of friction between snow and skis is 0.0750. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier glide along the horizontal portion of the snow before coming to rest?

A boy pushes a load of 1260 N at a constant speed up a 25° inclined...

A boy pushes a load of 1260 N at a constant speed up a 25° inclined plane onto a platform 1.0 m high. If the boy’s maximum force is 300 N parallel to the plane and the coefficient of kinetic friction is 0.4, what must be the length of the plane?

A theme ride vehicle is moving uphill at a constant speed. The slope of the hill...

A theme ride vehicle is moving uphill at a constant speed. The slope of the hill is 10○. The mass of the vehicle plus the riders is 2000 kg. The vehicle is powered by a WLIM (Wheeled Linear Induction Motor). The pole pitch of the motor is 0.5m. The friction coefficient of the surface is 0.01. The primary circuit resistance R1 is 0.5 Ω, and the secondary resistance referred to the primary circuit R2’ is 1.0 Ω. The equivalent inductance...

Kristie is a 60 kg skier. At the start of a ski-slope that is at 30o...

Kristie is a 60 kg skier. At the start of a ski-slope that is at 30o to the horizontal, she crouches into a tuck. The surface is very icy, so that there is no friction between her skies and the ice. a) If Kristie starts from rest, what is her speed after travelling a distance 80 m on the ice? b) Snow condition changes at the end of ice path so that Kristie continues down the slope with a constant...

A skier with a mass of 75kg starts from rest at the top of a slope...

A skier with a mass of 75kg starts from rest at the top of a slope which is 110m tall and skis to the bottom. Hint: you must use conservation of energy to solve both parts of this problem. a. What is the skier’s speed at the bottom of the slope if there is no friction? b. If the speed of the skier at the bottom of the slope is actually 20m/s, how much work is done by friction?

In the figure, a T bar ski tow pulls a skier up a hill inclined at...

In the figure, a T bar ski tow pulls a skier up a hill inclined at 10 degrees above horizontal. The skier starts from rest and is pulled by a cable that exerts tension T at an angle of 30 degrees above the surface of the hill. The mass of the skier is 60kg and the effective coefficient of kinetic friction between the skis and the snow is 0.100. What is the maximum tension in the cable if the starting...

A 73.5_kg skier descends along a linear slope that has a height of 13.0_m, and the...

A 73.5_kg skier descends along a linear slope that has a height of 13.0_m, and the base of the hill is 53.3_m long. The kinetic friction constant is 0.042. Calculate the skier's, a) potential energy at the highest point, b) acceleration without friction c) acceleration with friction d) velocity at the end of the slope with friction considered, and e) Kinetic energy at the end of the ramp assuming kinetic friction, f) the length along the hypotenuses r and, g)...

A 58 kg skier is skiing down a 25 degree hill which offers negligible friction. Near...

A 58 kg skier is skiing down a 25 degree hill which offers negligible friction. Near the top of the hill (x =0), her speed is relatively small and equal to 3.6 m/s, but 57 m further downhill (x>0), her speed has grown to 18.59 m/s. Draw a Free body diagram. (thank you) a) Argue, based on some energy calculations of course, that there must be significant air resistance. b) The air resistance is a variable force and changes quadratically...

In aerial skiing, skiers use gravity to accelerate down a slope, called a in-run, before going...

In aerial skiing, skiers use gravity to accelerate down a slope, called a in-run, before going onto a take-off ramp and jumping and performing aerial tricks. A 60 kg skier competes in a competition where the in-run is 70 m long and is angled at 25? below the horizontal, and the take-off ramp is 3 m high. Ignore friction and drag. (a) How much work has gravity done on the skier when they reach the end of the in-run? (b)...