A block of mass M is at the top of a ramp of length L and angle 0. The block slides without friction down the ramp. Find the speed of the block when it reaches the bottom of the ramp.
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- In the figure below, a block slides along a path that is without friction until the block reaches the section of length L = 0.80 m, which begins at height h = 2.0 m on a ramp of angle = 30°. In that section, the coefficient of kinetic friction is 0.55. The block passes through point A with a speed of 8.0 m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A? m/s BA O ᎾI place a 10 kg box at the top of a ramp that is inclined at 25 degrees. It then slides 8 m down the incline. If the incline has a coefficient of kinetic friction of 0.3, what is the speed of the block after it has completed its 8 m slide?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?
- Examples 3: Consider a block that is free to slide down a smooth, frictionless plane that is inclined at an angle 0 to the horizontal, as shown in Figure. If the height of the plane is h and the block is released from rest at the top, what will be its speed when it reaches the bottom?A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.00 m/s at the bottom, what is the height of the hill?Blocks 1 and 2, with masses m₁ and m2, are placed on a frictionless, horizontal table with an ideal spring between then. The blocks are moved together, compressing the spring until it stores 87 J of elastic potential energy. When released from rest, the blocks move in opposite directions. Find the maximum speed of block 1 if m₁ = 7.63 kg and m2 = 4.18 kg. m/s V =
- 14. A block is sent sliding down a frictionless ramp. Its speeds at points A and B are 2.00 m/s and 2.60 m/s, respectively. Point A is higher up the ramp than point B. Next, it is again sent sliding down the ramp, but this time its speed at point A is 4.00 m/s. What then is its speed at point B? (a) 2.5 m/s (b) 4.3 m/s (c) 5.4 m/s (d) 6.1 m/sA 1.50-kg block at rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 10.0 cm that has a coefficient of kinetic friction µk = 0.60. Using conservation of energy, find h such that the block’s speed after crossing the rough patch is 3.50 m/s.A 69.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.9 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer.
- As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction - 0.750. Find h (in m) such that the block's speed after crossing the rough patch is 3.10 m/s. Additional Materials muh puch mining 15.0 cm ReadingAs shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction ?k = 0.510. Find h (in m) such that the block's speed after crossing the rough patch is 3.60 m/s. (Enter a number.)?m1. Given the vectors M = -10āx + 4ã, – 8ả, and Ñ = 8å, + 7ã, – 2ã,, find: a. A unit vector in the direction of -M + 2Ñ b. The magnitude of 5å, + N – 3M c. M||2Ñ|(M + N)