A car making a turn on a dry, banked highway ramp is experiencing friction. The coefficient of static friction between the tires and the road is 0.60. The banking angle is 40° and the radius of the turn is 200 m. a) Draw a free-body diagram of the car. b) Determine the minimum speed at which the car can safely negotiate the turn without sliding down the ramp.

Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?

A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates a curve in the flat road. The curve may be regarded as an arc of a circle of radius 33.8 m. If the coefficient of static friction between crate and truck is 0.610, how fast can the truck be moving without the crate sliding? Vmax= m/s

Car A uses tires for which the coefficient of static friction is 0.281 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 11.0 m/s. Car B uses tires for which the coefficient of static friction is 0.812 on the same curve. What is the maximum speed at which car B can negotiate the curve?

1. A racing bicycle with rider has a combined mass of 85 kg. The racer is on a velodrome (circular racing track) that has banked curves. The surface is banked at an angle of 35° from horizontal. The track has a radius of 60 m. a) Draw a free-body diagram of the racer viewing the racecar from the front (left) and from above (right.) Ignore friction. Indicate the direction of the acceleration of the racer next to your diagram. b) Based on your free-body diagram do you think the car could possibly stay on a circular path (the track) without friction? Explain. c) Which of the forces you drew has a component in the same direction as the acceleration? Explain. d) Write down your force equations and solve for the acceleration of the racer moving at a constant speed around the track with no friction. (Hint: Use the direction of the acceleration as one of your axes. Do not use along-the-incline and perpendicular-to- the-incline as your axes.) e) What speed would the racer have with this…

Multiple part question: A worker in a factory slides a heavy box up a ramp into a truck. The box has a mass of 84 kg, and the ramp is 3 m long and makes an angle of 34° with the horizontal. The coefficient of friction between the box and ramp is 0.6. What is the weight of the box? What is the normal force acting on the box? What is the force of friction acting on the box?   Assuming the worker pushes the box up the ramp with a constant velocity, how much work does the factory worker do on the box in order to get it into the truck?   How much gravitational potential energy does the box have once it reaches the top of the ramp?

A box is initially sliding up a 32.5 ̊ incline at a speed of 13.0 m/s. The coefficients of friction between the incline and the box are μk = 0.680 and μs = 0.740. a)What is the acceleration of the box while it is sliding up the incline? b)How far will the box travel up the inline before coming to a stop? c)What would the coefficient of kinetic friction have to be for the box to be able to slide down the ramp at a constant speed?

During a physics inquiry, you place a 0.250kg dynamics cart on a ramp inclined at 25.0 degrees to the horizontal. The cart is initially at rest, before you pull it up the ramp with a force sensor. The force sensor exerts a force on the cart parallel to the ramp. The coefficient of friction is 0.300. Determine the force to pull the cart up the ramp at an acceleration of 1.50 m/s/s. Include a force diagram.

9. A 75 N crate is at rest on an incline that is inclined a 25° above the horizontal. The coefficient of static friction between the crate and the incline is 0.25 and the coefficient of kinetic friction between the crate and the incline is 0.15. (a) What is the minimum magnitude of a force parallel to the incline that will prevent the crate from sliding down the incline? (b) What is the minimum magnitude of the force parallel to the incline that will start the crate to move up the incline? (c) Include a force (or free body) diagram of each situation.

A 2.0 kg box is at rest on a flat horizontal surface. A continuously applied force is then exertedon the box. When the applied force just exceeds 5.0N the box then begins to move. Q1. Construct a free-body diagram for the box at the moment when the applied force is 5.0N.     Q2. Determine the magnitude of the peak static friction force and the corresponding coefficientof static friction.