A box of mass m=12.0 kg is located at the top of a ramp of height h=8.00 m, as shown in the figure. The coefficient of kinetic friction between the ramp and the box is µk=0.5. You give the box a push so that it starts sliding down with an initial speed of 3.00 m/s. The box continues its motion on a rough horizontal surface for 5.00 m until it hits a spring of spring constant k=150. N/m and fully compresses it by 50.0 cm and comes to rest. What is the coefficient of kinetic friction between the horizontal surface and the box? h 30°

A box of mass m=12.0 kg is located at the top of a ramp of height h=8.00 m, as shown in the figure. The coefficient of kinetic friction between the ramp and the box is µk=0.5. You give the box a push so that it starts sliding down with an initial speed of 3.00 m/s. The box continues its motion on a rough horizontal surface for 5.00 m until it hits a spring of spring constant k=150. N/m and fully compresses it by 50.0 cm and comes to rest. What is the coefficient of kinetic friction between the horizontal surface and the box? h 30°

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Please show all work
A 77.1-kg circus performer is fired from a cannon that is elevated at an angle of 52.1° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.62 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 2.30 s to travel the horizontal distance of 20.1 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism. Number i Units
The blue box on the inclined plane is attached to the green cart and a pulley. Assume that all pulleys and the wheels on the green cart are smooth (no friction on these). Determine the mass of the green cart required to keep the blue box from sliding down. Hint: tension in pulley cables is the same throughout entire cable. 300 kg 25° Hj = 0.25 W 15°
Matthew starts from rest on top of 8.45 m high sledding hill. He slides down the 32-degree incline and across the plateau at its base. The coefficient of friction between the sled and snow is 0.128 for both the hill and the plateau. Matthew and the sled have a combined mass of 27.5 kg. Determine the distance which Matthew will slide along the level surface before coming to a complete stop.
A box weighing 3.9 kg is initially at rest on a horizontal floor. It is then pushed in a straight line for 1.2 m by a girl exerting a horizontal force with a magnitude 36 N. What is the final speed of the box if there if no friction between the floor and the box? What is the final speed if a coeffient 0.30 would be introduced between the floor and the box?
Problem 2: The force F = (3.43 N)i + (4.66 N)j acts on a particle as it moves first along the x axis from x = 1.59 m to x = 8.85 m, then parallel to the y axis from y = 1.18 m to y = 6.84 m.
KE = mv², Ug = mgh, Us=kx², E = KE + Ug + Us, E₁ = Ef, Wfric Ffried, Ffric = HkN, Et-Wfric = Ef Problem 1: In the Figure below a block slides along a path that is without friction until the block reaches the section of length L = 0.75 m, which begins at height h = 2 m on a ramp of angle 0 = 30°. In that section, the coefficient of kinetic friction is 0.40. The block passes through point A with a speed of 8 m/sec. What is the speed of the block at point B (where the friction ends)? Answer: 3.5 m/sec B/ 0
An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 90.0 kg, the vine is 12.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.00 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking? ?N
A glider of mass 0.275kg is placed at rest on an air track that has an angle of inclination of 10°. The height of the glider above the table is 30cm. The glider is released traveling 1.15m down along the track. When the glider is at 10cm above the height of the table, the velocity is 1.5m/s. What is the frictional force acting on the glider?
An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the object is initially 8.0 m from the bottom of the incline, as shown in the figure. When the object is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction on the hill is 0.30 and coefficient of kinetic friction between the horizontal surface and the object is 0.20, and air resistance is negligible. Find the distance d. (take g = 10.0 m/s*) 80m 30 O8.0 m O 4.0 m 14.0 m 9.6 m 69.6 m
A cart of mass m, = 6.7 kg is on an inclined ramp (ø = 34.1 degrees). It is attached to a string of negligible mass that goes over an ideal pulley. The other end of the string is attached to another block of mass m, = 11.9 kg, as shown below. The wheels on the cart are good enough that friction between the cart and the ramp is negligible. If the blocks are given an initial speed of v, = 9.1 m/s (with m, moving down the plane), what is the common magnitude of the acceleration of the blocks? (in m/s^2)
A biker is riding his Yamaha Raptor 700r (atv) on an upward hill in the middle of a desert in dubai. The hill has a slope of theta = 120 degrees. The mass of the atv and biker combined is 260 kg and the static friction coefficient between is .43. Determine the minimum speed of the atv to be able to drive over the hill.