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?

A car is driving at 25m/s when a light turns red 100m ahead. The driver takes an unknown amount of time to react and hit the brakes, but manages to skid to a stop at the red light. If μs=0.9 and μk=0.65, what was the reaction time of the driver?

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.