Question

You are driving your car uphill along a straight road. Suddenly, see a car cross a...

You are driving your car uphill along a straight road. Suddenly, see a car cross a red light and enter the intersection, just ahead of you. Immediately apply your brakes and skid in a straight line to stop, leaving a mark of 100 ft long by sliding. A policeman observes the whole incident, gives a ticket to the driver of the car for passing a red light. It also gives a ticket to you for exceeding the 30 mph speed limit. When you arrive at your house, you read your physics book and you may notice that the coefficient of kinetic friction between the tires and the road was 0.60, and the coefficient of static friction was 0.80. You estimate that the hill forms an angle of approximately 10 ° with the horizontal. You check the owner's manual and find that your car weighs 2,050 lbs. Are you going to claim the traffic ticket in court? Support your argument.

a) It shows a detailed diagram (design) of the situation, where it shows the conditions before and after.

b)It shows a correct procedure of conservation laws and the mathematical calculations that support their arguments.

c)It gives a final conclusion of its found results.

Homework Answers

Answer #1

Given that,

d = 100 ft = 30.48 m

uk = 0.6

= 10 deg

m = 2050 lbs = 929.86 kg

horizontal component of acceleration due to gravity,

ax = gsin = 9.8*sin 10 = 1.701 m/s^2

acceleration due to friction,

a = uN / m = umgcos / m

a = ugcos = 0.6*9.8*cos10 = 5.79 m/s^2

Total acceleration,

a = sqrt [(1.701)^2 + (5.79)^2]

a = 6.034 m/s^2

From kinematic equation,

v^2 = u^2 - 2as

0 = u^2 - 2*6.034*30.48

u = 19.18 m/s

u = 42.9 mph

Speed should not be more than 30 mph.

Since , you are speeding . you can not  claim the traffic ticket in court.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You are driving your car uphill along a straight road. Suddenly, see a car cross a...
You are driving your car uphill along a straight road. Suddenly, see a car cross a red light and enter the intersection, just ahead of you. Immediately apply your brakes and skid in a straight line to stop, leaving a mark of 100 ft long by sliding. A policeman observes the whole incident, gives a ticket to the driver of the car for passing a red light. It also gives a ticket to you for exceeding the 30 mph speed...
three 1500 kg cars are driving at 25m/s along the road. Car A is on a...
three 1500 kg cars are driving at 25m/s along the road. Car A is on a flat portion of the road, car B is at the bottom of a hill and car C is at the top of a hill. (a)Determine the normal force that the road exerts on each car. Suppose each car suddenly brakes hard and starts to skid. (b) Determine the magnitude and direction of each car's acceleration. The coefficient of kinetic friction between the tires and...
You are driving on a mountain highway in your car, which is sloped downward at an...
You are driving on a mountain highway in your car, which is sloped downward at an angle of 7 degrees below the horizontal. Your car has a mass of 1200kg and your speed is 25 m/s. A moose steps out into the highway and you slam on your brakes, skidding to a stop. The force of kinetic friction between your car and the road is 9500.0 N. a) Using an energy analysis, compute how far you skid before you come...
While visiting a friend in San Francisco you decide to drive around the city. You turn...
While visiting a friend in San Francisco you decide to drive around the city. You turn a corner and are driving up a steep hill. Suddenly, a small boy runs out on the street chasing a ball. You slam on the brakes and skid to a stop leaving a 50 foot (600 inch) long skid mark on the street. The boy calmly walks away, but a policeman watching from the sidewalk walks over and gives you a ticket for speeding....
A 950-kg sports car collides into the rear end of a 2400-kg SUV stopped at a...
A 950-kg sports car collides into the rear end of a 2400-kg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.9 m before stopping. The police officer, estimating the coefficient of kinetic friction between tires and road to be 0.80, calculates the speed of the sports car at impact. What was the speed sports car at impact? Express your answer to two significant figures and include the appropriate units.
You slam on the brakes of your car in a panic, and skid a certain distance...
You slam on the brakes of your car in a panic, and skid a certain distance on a straight level road. If you had been traveling four times as fast, what distance would the car have skidded, under the same conditions?
You are driving your car, and the traffic light ahead turns red. You apply the brakes...
You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.83 s, and the velocity of the car decreases to + 4.98 m/s. The car’s deceleration has a magnitude of 2.87 m/s2 during this time. What is the car’s displacement?
You are driving at 15.0 m/s on a straight horizontal road. You are 20.0 meters away...
You are driving at 15.0 m/s on a straight horizontal road. You are 20.0 meters away from the traffic light when it turns yellow. You take 0.4 s to start applying the brake (it is your reaction time). Once the brake is applied it stops uniformly at the stop point. (a) What is the acceleration of the car during the time the brake was applied? (b) How much total time it takes to stop?
You are driving North through an intersection in a 55 mi/hr speed zone, when the local...
You are driving North through an intersection in a 55 mi/hr speed zone, when the local Chief of Police, who is driving his new Cadillac and approaching the intersection from the West, hits you broadside. The two cars stick together and skid a distance 38.3 m with locked wheels at an angle of 64.4° to the East of North. The mass of your car is 1590.0 kg while the Cadillac has a mass 1996.0 kg. The coefficient of sliding friction...
1) You are making a circular turn in your car on a horizontal road when you hit a big patch of ice, causing the force of friction between the tires and the road to become zero. While the car is on the ice, it
1) You are making a circular turn in your car on a horizontal road when you hit a big patch of ice, causing the force of friction between the tires and the road to become zero. While the car is on the ice, itA) moves along a straight-line path away from the center of the circle.B) moves along a straight-line path toward the center of the circle.C) moves along a straight-line path in its original direction.D) continues to follow a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT