Car on a Curve Problem: A car on a curve A car of mass m drives...
Car on a Curve Problem:
A car on a curve A car of mass m drives around a curve of radius R. The coefficients of static and kinetic friction with the ground are µs and µk, respectively.
Q: Find an expression for the maximum speed with which the car can drive around the curve without sliding
Homework Answers
1) A car with mass m = 1000 kg is traveling around a circular curve of...
1) A car with mass m = 1000 kg is traveling around a circular curve of radius r = 990 m when it begins to rain. The coefficients of static friction between the road and tires is μd = 0.66 when dry and μw = 0.26 when wet. a) Write an expression for the maximum magnitude of the force of static friction Ff acting on the car if μs is the coefficient of friction. b) What is the maximum tangential...
A car drives around a flat 119 m radius circular track at 20 m/s. Assume that...
A car drives around a flat 119 m radius circular track at 20 m/s. Assume that this speed is the maximum speed that the car can have without out "skidding out" of the curve.The car moves into the next curve. The radius of this new curve is twice as great as the previous. Assume the coefficient of static friction has not changed. Calculate the car's maximum speed in this curve. m/s
As a car drives with its tires rolling freely without any slippage, the type of friction...
As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is A) static friction. B) kinetic friction. C) a combination of static and kinetic friction. D) neither static nor kinetic friction but some other type of friction. E) It is impossible to tell what type of friction acts in this situation. A car of mass m goes around a banked curve of radius r with speed v....
A 1080 kg Smart car is going around a 58 m radius curve. The coefficient of...
A 1080 kg Smart car is going around a 58 m radius curve. The coefficient of static friction is 0.80. If the curve had a 13degree bank with respect to the horizontal, at what speed should the cargo so there is no friction force? (include units with answer) Determine the maximum speed the car can go around the banked turn without sliding, (include units with answer)
5. A car with mass of 1200 kg rounds a flat, unbanked curve with radius of...
5. A car with mass of 1200 kg rounds a flat, unbanked curve with radius of 250 m. (a) Make a free body diagram of this car (1pts). driver can take the curve without sliding is yos. -18m/s. (6pts) (c) Calculate the coefficient of static friction (u, between tires and road. (6pts) at is the magnitude of the maximum friction force necessary to hold a car on the curve if the maximum speed at which the
In order to design safe high-speed entrance and exit ramps, highway engineers need to know about...
In order to design safe
high-speed entrance and exit ramps, highway engineers need to know
about the force of friction and the maximum speeds that motorists
can navigate these ramps. Suppose the coefficients of friction
between rubber tires and asphalt are µs = 0.35 for static friction
and µk = 0.25 for kinetic friction. You are the highway engineer
charged with construction of a new freeway exit ramp. (a) Make a
free-body diagram showing all of the forces acting on...
X Incorrect. Engineering a highway curve. If a car goes through a curve too fast, the...
X Incorrect. Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R and bank angle, where the coeffcient of static friction between tires and...
A 1500-kg car drives at 30 m/s around a flat circular track 300 m in diameter. What are the magnitude and direction of...
A 1500-kg car drives at 30 m/s around a flat circular track 300 m in diameter. What are the magnitude and direction of the net force on the car? Sort the following quantities as known, to find, or unneeded. Let m and v be the mass and speed of the car, respectively; μs is the coefficient of static friction, r is the radius of the circular path, n is the magnitude of the normal force acting on the car, and...
Secret Physics Agent Marie Heisenberg drives her motorcycle (total mass of 142 kg) around a flat,...
Secret Physics Agent Marie Heisenberg drives her motorcycle (total mass of 142 kg) around a flat, circular curve while travelling at 12.6 m/s. If the coefficient of static friction is µs=0.6, what is the smallest value of the curve radius that she can navigate without slipping?
Angular Acceleration
The spool has a mass of 100 kg and a radius of gyration of kG = 0.3 m. If the coefficients of static and kinetic friction at A are µs = 0.2 and µk = 0.15, respectively, determine the angular acceleration of the spool if P = 50 N.
As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is A) static friction. B) kinetic friction. C) a combination of static and kinetic friction. D) neither static nor kinetic friction but some other type of friction. E) It is impossible to tell what type of friction acts in this situation. A car of mass m goes around a banked curve of radius r with speed v....
A 1080 kg Smart car is going around a 58 m radius curve. The coefficient of static friction is 0.80. If the curve had a 13degree bank with respect to the horizontal, at what speed should the cargo so there is no friction force? (include units with answer) Determine the maximum speed the car can go around the banked turn without sliding, (include units with answer)
5. A car with mass of 1200 kg rounds a flat, unbanked curve with radius of 250 m. (a) Make a free body diagram of this car (1pts). driver can take the curve without sliding is yos. -18m/s. (6pts) (c) Calculate the coefficient of static friction (u, between tires and road. (6pts) at is the magnitude of the maximum friction force necessary to hold a car on the curve if the maximum speed at which the
In order to design safe
high-speed entrance and exit ramps, highway engineers need to know
about the force of friction and the maximum speeds that motorists
can navigate these ramps. Suppose the coefficients of friction
between rubber tires and asphalt are µs = 0.35 for static friction
and µk = 0.25 for kinetic friction. You are the highway engineer
charged with construction of a new freeway exit ramp. (a) Make a
free-body diagram showing all of the forces acting on...
X Incorrect. Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R and bank angle, where the coeffcient of static friction between tires and...
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