A 1400 kg car moving at 21 m/s runs into a 1200 kg car mobing in the same direction at 14 m/s. The two Cars lock together, and both drivers inmediately apply their brakes. If the cars comes to rest in 18 m, what is the coefficient of friction between the car's tires and the road?
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- The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?A 2110 kg car traveling at 8.4 m/s collides with a 2730kg car that is initially at rest at the stoplight. The cars stick together and move 3.30 m before friction causes them to stop. Determine the coefficient of kinetic friction between the cars and the road, assuming that the negative acceleration is constant and that all wheels on both cars lock at the time of impact.You go trick-or-treating with your friends and end up with more candy than you know what to do with. You get tired of carrying your pillowcase full of candy, so you start to drag it along the ground. Your pillowcase has a mass of 8.7 kg and the coefficient of kinetic friction between your pillowcase and the ground is 0.20. It's time to catch up to your friends, so you take off, still dragging the bag. You pull on the bag with a force of 62 N at an angle of 57 degrees above the horizontal. - What is the magnitude of the Normal force acting on the bag? - What is the magnitude of the kinetic friction force acting on the bag? - What is the net acceleration of the bag?
- You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 43.0 mph. The cars locked bumpers and slid eastward with their wheels locked for 20.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750. How fast (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.) speed of car A: mphYou have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 43.0 mph. The cars locked bumpers and slid castward with their wheels locked for 18.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750. What speed (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.) UF mphA 3 kg and a 5 kg box rest side-by-side on a smooth, level floor. A horizontal force of 32 N is applied to the 3 kg box pushing it against the 5 kg box, and, as a result, both boxes slide along the floor. What is the magnitude of the contact force between the two boxes? Assume no friction.
- You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 43.0 mph. The cars locked bumpers and slid eastward with their wheels locked for 17.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750 . What speed ? (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.).A pickup truck is carrying a 10.0 kgkg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts moving. The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.34 and 0.15, respectively. Assume that the truck bed is horizontal. What is the shortest time the truck could take to accelerate from rest to 9.60 m/sm/s without causing the toolbox to slide?A 1700 kg car is driving down a highway at a constant velocity when a deer jumps out onto the road 59.6 m ahead. The coefficient of friction between the car tires and the road is 0.21. Calculate the initial velocity of the car if it is able to stop just before hitting the deer. (You do not need to account for reaction time of the driver. Assuming the car is breaking the entire 59.6 m distance and that friction is the only force stopping the car.) v0 = m/s
- Two carts on a low friction air-track are connected by an unstretched spring. Cart 1 has an inertia of 1.5 kg while cart 2 has an inertia of 2.5 kg. The spring has a spring constant of 10 N/m and negligible inertia. You push cart 1 in the direction of the cart 2 with a constant force of 5.0 N. (a) What is the acceleration of the centre of mass of the cart-spring system? (b) What is the acceleration of each cart the instant you begin to push?A hockey puck is hit on a frozen lake and starts moving with a speed of 15.0 m/s. If the coefficient of kinetic friction between the puck and the ice is µk= 0.2, what is the speed of the puck 5 s later?A light plane of mass 1200 kg makes an emergency landing on a short runway. With its engine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags a cable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider the system as a combined mass along with the sandbag and the plane. Now, the coefficient of friction between the sandbag and the runway is uk = 0.4, and also the plane's brakes give an additional retarding force of magnitude 1400 N. So our target for this problem is to find how far does the plane go before it comes to stop. Assume, when the plane snags the sandbag, the collision is instantaneous. [Hints Think carefully whether you can apply conservation of momentum or not] (a) Find the speed of the plane and sandbag immediately after the collision. (b) Find the time when the plane along with the sandbag will come to stop. [Hints: Think about whether the system (sandbag and the plane) will accelerate or decelerate.] (c) Find how far the…