At an intersection, a car is driving through a turn with an effective radius 64 ft....

At an intersection, a car is driving through a turn with an effective radius 64 ft. The coefficients of kinetic and static friction are 0.4 and 0.7, respectively. Derive an expression for the maximum speed at which the car can drive through this turn.

The set up Newton's Law and find the answer. Eventually evaluate your answer.

Below answer with the speed in mph (use mph as units).

Expert Solution

According to the given data

radius of the turn r = 64 ft = 19.50 m

the force acting at the centre of the turn is cnetripetal force which is equal to the force of gravity

v = 8.74 m/s converting in to mph

v = 19.555 mph

genius_generous answered 7 months ago

46. A police officer in hot pursuit drives her car through a circular turn of radius...

46. A police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of 80.0 km/h. Her mass is 55.0 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizontal and vertical forces.) I don't understand why the net force in the problem is centripetal force and gravitation. I think there should be normal...

A 2100 kg truck is driving south through an intersection at 40 mph when it crashes...

A 2100 kg truck is driving south through an intersection at 40 mph when it crashes into a 1200 kg car that was driving east through the intersection at 55 mph. The two vehicle stick together in a sad, scary, twisted mess. What is the velocity (both magnitude and direction) of the wreckage immediately after the collision, before the vehicles have had any time to slow due to friction?

Three cars are approaching an intersection. Car #1 has mass 1500 kg and is driving East...

Three cars are approaching an intersection. Car #1 has mass 1500 kg and is driving East at 10 m/s. Car #2 has mass 2500 kg and is driving North at 20 m/s. Car #3 has mass 2000 kg and is driving South at 30 m/s. a) If the three cars collide simultaneously and stick together, what is their final velocity (magnitude and direction)? b) What fraction of the initial kinetic energy is lost in the collision? c) If the collision...

2 A car with inertia 1200kg is driving through a parking lot. A wheeled platform of...

2 A car with inertia 1200kg is driving through a parking lot. A wheeled platform of inertia 1800kg has just been unloaded from a flatbed truck. It gets away from them and is moving toward the car at a velocity of +2.5 m/s . The car cannot avoid it, and the two

While driving fast around a sharp right turn, you find yourself pressing against the car door....

While driving fast around a sharp right turn, you find yourself pressing against the car door. What is happening? What is happening? The door is exerting a rightward force on you. Centrifugal force is pushing you into the door. Both of the above. Neither of the above. Which of the following point towards the center of the circle in uniform circular motion? Acceleration. Acceleration, net force. Velocity, acceleration, net force. Velocity, net force. Velocity, acceleration. The Moon does not crash...

A car moving at 37 km/h negotiates a 150 m -radius banked turn designed for 60...

A car moving at 37 km/h negotiates a 150 m -radius banked turn designed for 60 km/h. What coefficient of friction is needed to keep the car on the road?

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles...

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles during the peak period of traffic. If the design peak hour volume for the left turn movement is 150 vehicles per hour and the red time interval per signal cycle for the left turn movement is 60 seconds. a) Compute the average number of left turn vehicle arrivals per red interval of each signal cycle during the design peak hour. b) Assume that left...

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 70 vehicles enter this intersection from the east, use technology and the normal approximation to the binomial distribution to find the exact and approximate probabilities of the following. (Round your answers to four decimal places.) (a) 26 or fewer turn right exact probability = approximate probability = (b) at least two-thirds of those in the sample turn exact probability...

You have a 1 ft radius dartboard placed in the middle of a 2 ft x...

You have a 1 ft radius dartboard placed in the middle of a 2 ft x 2 ft square backboard. You can estimate the value of Pi by randomly throwing darts at the board, because the ratio of the darts hitting the dartboard compared to those hitting the backboard (i.e. all of them), will be equal to the ratio of the area of the dartboard to the area of the board. Or: Dh / Dt = Adb / Ab where:...

Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection...

Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection 4 seconds later. At the same time, Joshua leaves the intersection heading north in his car so that his position 4 seconds later is 26 feet from the intersection. If, at that instant time, Joe's speed is 8 feet per second and Joshuas' speed is 12 feet per second, find the rate at which the distance between the two cars is changing to the...

Question