3. An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above the end of the ramp (as shown in the figure). Consider the ramp to be frictionless and neglect the effects of air resistance. bedof ramp (a) What is the speed of the object at the end of the ramp? (b) If the velocity of the object at the end of the ramp makes an angle 0 = 21° with the horizontal, what is maximum height, h of its jump above the end of the ramp?
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- 6. A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 4.68 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -1.17 m. What will the block s speed be when it reaches x = 0? 1.70 m/s 1.19 m/s 3.12 m/s 2.40 m/sA 59.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 3.20 mWhat speed does he need at the bottom?1. A girl jumps upward off a trampoline with a speed of 3.6 m/s. How high will she rise? Ignore air resistance. Previous submissions:
- A 50 kg box slides down a 6-meter high plane angled 30o to the horizontal. If the coefficient of friction force between the box and the plane is 0.4 what is the speed of the box at the end of the plane?2. In the accompanying figure, a tiny cube is pushed and released at point A. It has an initial velocity of 7.23 m/s. The whole course is frictionless except that marked L which is 16.2 m and has a coefficient of kinetic friction of µk = 0.78. Heights hi = 6.00 m and h2 = 2.00 m. (a) What is the speed of the cube at point B? (Hint: you do NOT need its mass) (b) What is the speed of the cube at point C? (c) Does the cube make it to point D? If so, how fast is it going there? If not, what is its distance traveled through region L?A cylinder was dropped vertically from rest in a very high, evacuated tube near the surface of the earth. The mass of the cylinder is 6kg. What is its speed after the cylinder has fallen 4.0 m? 7 m/s В 11 m/s C) 2 m/s 9 m/s
- 14. In the figure, a 4.0 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 6.0 m/s, the height difference is h = 1.2 m, and uk = 0.40. (1) Find the speed of the block when it just reaches the higher level (2) Find the distance d. μ = 0 -μ*A 250 kg roller coaster is at the top of a hill with a velocity of 5.60 m/s from a height of 70.0 m above the ground. A) Determine the velocity of the roller coaster at a height of 40.0 m further down the track, neglecting friction. [3] B) What reference point did you choose as zero height? Show how you could come up with the same answer to A if you chose another reference point for height.A ball of mass m= 0.38 kg is tied to a massless string of length L=1.2m. The ball is released at rest from point A as shown in the figure. a) What is the speed of the ball as it passes through point B? b) What is the tension in the string at point B?
- Suppose you have a spring (of constant k = 250) and you compress it 10 cm. next to the spring you place a frictionless cart of mass 250 g. The spring is released and the cart is pushed along a horizontal track. What speed (in m/s) does the cart obtain?A 9.0-kg bunny slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, introduced at point A, brings the bunny to rest at point B, 19 m to the right of point A. What is the Speed of the bunny before it reaches point A? What is the coefficient of kinetic friction, µk, of the surface from A to B?Please see attached image for question. Thank you