Same type of track as in the previous problem, this time with d = 2.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 4.46 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0 1.66 m 1.01 m -1.01 m -1.66 m

A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane. Define the positive x-direction to be down the ramp.

While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002 N force. To satisfy your curiosity, determine the power of the…

You place a crate of mass 40.9 kg on a frictionless 2.64-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.52 s after you released it. What is the angle of the incline?      17.6 degrees      13.5 degrees      21.6 degrees      25.9 degrees

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

Problem 4: A sled starts from rest at the top of a snow-covered incline that makes an angle of p = 19.3 degrees with horizontal. After sliding a distance d= 68 m down the slope, the speed of the sled is s = 14.1 m/s.

A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an initial speed of 5.70 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.

A crate slides down a ramp 22.39m long inclined at 37.77°. How long will it take to reach the end of the ramp? What is the velocity of the crate upon reaching the end of the ramp? Assume coefficient of kinetic friction = 0.079

Solve D,E, F

A frictionless plane is 10.0 m long and inclined at 30.0°. A sled starts at the bottom with an initial speed of 5.30 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v₁. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. m (b) Determine the initial speed of the second sled. m/s