A train is equipped with a 50 Mg engine and three cars which each have a mass of 30 Mg. The train increases its speed taking 80 seconds to reach 40 km/h from rest, find the force T from the engine E to the first car A.
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- A car of mass 931 kg coasts on a level road, starting with an initial speed of 15.7 m/s and coming to rest 14.7 s later. Find the frictional force acting on the car.If a 2.3 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 10.2 N force in the positive x-direction over a distance of 4.1 meters, what will the object’s final speed be? Assume the answer in in m/s.If a 2 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 13.7 N force in the positive x-direction over a distance of 3.25 meters, what will the object’s final speed be? Assume the answer in in m/s.
- A 675 kg car is coasting at 60.0 km/h.a) How large a force (magnitude) is required to stop the car in 6.00 seconds?b) Based on the conservation of energy, determine how many meters the car will travelduring that same short period of time.On an essentially frictionless, horizontal ice rink, a skater moving at 4.0 m/s encounters a rough patch that reduces her speed by 44% due to a friction force that is 28% of her weight.A 149-g baseball is dropped from a tree 15.0 m above the ground. a) With what speed would it hit the ground if air resistance could be ignored? b) If it actually hits the ground with a speed of 8.00 m/s , what is the magnitude of the average force of air resistance exerted on it?
- In the figure below, a runaway truck with failed brakes is moving downgrade at 36 m/s just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of theta = 15°. The truck’s mass is 1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if the truck is to stop at the top of the ramp at height h? (b) Does the minimum length L increase, decrease, or remain the same if the truck’s mass is decreased? Why? (c) If its speed is decreased? Why? Hint: Use Energy Principles.A student (m = 58 kg) falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of 0.04 s. The average force exerted on him by the ground is +18000 N, where the upward direction is taken to be the positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is that due to the ground. H=Beginning at time t = 0, a student exerts a horizontal force on a box of mass 30 kg, causing it to move at 1.2 m/s toward an elevator door located 16 m away, as shown above. The coefficient of kinetic friction uk between the box and the floor is 0.20. At t = 4.0 s, the elevator door opens and remains open for 5.0 s. The student immediately exerts a larger constant force on the box and the front of the box reaches the elevator door just as it starts to close. (c) Calculate the magnitude of the new force that the student exerts.
- A 0.07 kg hockey puck slides across an icy surface and experiences a small friction force of 0.08 N . If the puck is given an initial velocity of 4 m/s, how far does it slide before stopping?A 6.3-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 2.2 m/s to the right. The coefficient of friction between the pond and the toboggan is 0.18. Determine the distance that the toboggan slides before coming to rest. Answer: m (round to the nearest hundredth)At the start of a race, a four-man bobsled team pushes their sled as fast as they can along a 50 m flat starting stretch. The net force that the four men together apply to the 325 kg bobsled is 80.093 N directed at 15 degrees below the horizontal. As they push, 60 N of kinetic friction opposes them. What is the speed of the sled right before the team jumps on the sled?