A particle, starting from point A in the drawing (the height at A is 3.00 m), is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 7.32 above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A.
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- A particle, starting from point A in the drawing (the height at A is 3.00 m), is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 5.02 above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A. IA 30.0-kg child starting from rest slides down a water slide with a vertical height of 10.0 m. What is the child’s speed (a) halfway down the slide’s vertical distance and (b) three-fourths of the way down? (Neglect friction.)The potential energy of a particle as a function of position will be given as U(x) = A x2 + B x + C,where U will be in joules when x is in meters. A, B, and C are constants. What is the force on this particle, in newtons, at x+39cm, if the constants are A= 2.2 J/m^2 , B= 2.2 J/m, and C=6.5 J?
- A 2 kg block slides down a frictionless incline from a height of 5 m. What is its speed at the bottom of the incline? (Assume g = 9.8 m/s²)A child of mass m = 27 kg slides down a slide of height h = 2.1 m without friction. Let gravitational potential energy be zero at ground level. Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground- Utop). What is the child's final speed, vf in m/s?A raindrop of mass 3.20 x 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 80 m, what is the work done on the raindrop by the gravitational force? J (b) What is the work done on the raindrop by air resistance? J
- On board the starship Serenity, Captain Mal has two boxes connected together by a cord that passes over a massless, frictionless pulley mounted on the ceiling of the storage bay. The first box has a mass of 252.0kg and the second box has a mass of 278.0kg. If the 278.0kg box starts off at rest 2.60m above the ground, find the speed of the box when it reaches the ground. Assume the gravity on Serenity is 9.80m/s2.A man on a motorcycle plans to make a jump as shown in the figure. If he leaves the ramp with a speed of 28.0 m/s and has a speed of 25.6 m/s at the top of his trajectory, determine his maximum height (h) (in m) above the end of the ramp. Ignore friction and air resistance.*48. GO The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle 0. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed V9. On the longer track the block slides upward until it reaches a maximum height H above the ground. On the shorter track the block slides upward, flies off the end of the track at a height H, above the ground, and then follows the familiar parabolic trajectory of projectile motion. At the highest point of this trajectory, the block is a height H, above the end of the track. The initial total mechanical energy of each block is the same and is all kinetic energy. The initial speed of each block is v, = 7.00 m/s, and each incline slopes upward at an angle of 0 = 50.0°. The block on the shorter track leaves the track at a height of H, = 1.25 m above the ground. Find (a) the height H for the block on the longer track and (b) the total height Hj +…
- A ball of mass m = 6 kg is dropped from a height (hi = 10 m) above the ground. Find the speed of the ball when it is at a height (hf = 4 m) above the ground.While at a water park, Hunter tries the water slide. The starting point is 13.0 m above the ground. He pushes off with an initial speed of 2.5 m/s. If the slide is frictionless, how fast will Hunter be traveling at the bottom?A particle, starting from point A in the drawing (the height at A is 3.00 m), is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 6.93 above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A. Number i Units