Friction Archives • Nerd Notes

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What we found:

On a harsh winter day, a 1500 kg vehicle takes a circular banked exit ramp (radius R = 150 m; banking angle of 10 degrees) at a speed of 30 mph, since the speed limit is 35 mph. However, the exit ramp is completely iced up (= frictionless). To make matters worse, a wind is blowing parallel to the ramp in a downward direction. The wind exerts a force of 3000 N. Under these conditions, can the driver continue to follow a safe horizontal circle on the exit ramp and stay below the speed limit? To convert mph into m/s use 1 mi = 1607 m and 1 hr is 3600 s.

The speed of a 40 N hockey puck, sliding across a level ice surface, decreases at the rate of 0.61 m/s2. The coefficient of kinetic friction between the puck and ice is:

A forward horizontal force of 12N is used to pull a 240-N crate at constant velocity across a horizontal floor. The coefficient of friction is:

When the brakes of an automobile are applied, the road exerts the greatest retarding force:

The coefficient of kinetic friction:

A brick slides on a horizontal surface. Which of the following will increase the magnitude of the frictional force on it?

Friction provides the force needed for a car to travel around a flat, circular race track.

A block starts from rest at the top of a 50° incline. The coefficient of kinetic friction between the block and the incline is 0.4. If the block reaches a velocity of 7 m/s at the bottom of the incline, what is the length of the incline?

A horizontal 300N force pushes a 40kg object over 10 meters of a frictionless and horizontal surface. After this, the block slides up a 20° incline. Assuming the incline has a coefficient of kinetic friction of 0.4, how far along the incline with the object slide?

An object of unknown mass is acted upon by multiple forces. 100N to the right at 20°, 400N to the left at 40° below the horizontal, and 500N to the right at 10° below horizontal. The coefficients of friction are μs=0.6 and μk=0.2. Starting from rest, the object travels 10 meters in 4.5 seconds. What is the mass of the unknown object?

A 1000 kg car is traveling east at 20m/s when it collides perfectly inelastically with a northbound 2000 kg car traveling at 15m/s. If the coefficient of kinetic friction is 0.9, how far do the two cars skid before coming to a stop? Also, what angle do they travel at?

The heaviest train ever pulled by a single engine was over 2 km long. A force of 1.13 × 10^5 N is needed to overcome static friction in the train’s wheels. If the coefficient of static friction is 0.741, what is the train’s mass?

A spring launches a 4 kg block across a frictionless horizontal surface. The block then ascends a 30° incline with a kinetic friction coefficient of 0.25, stopping after 55 m on the incline. If the spring constant is 800 N/m, find the initial compression of the spring. Disregard friction while in contact with the spring.