A 2 kg block is moving at v = 3 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45° frictionless inclined plane, as shown in .
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A: speed of the ball 1 before collision, vo = 7.31 ms
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A: Given information: Mass of the moving block (M) = 5.70 kg Velocity of the moving block (Vi) = 8.45…
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A: Note :- System means all bodies which collides . P :- Momentum K.E :- Kinetic Energy Va :-…
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A: Ans:- Image-1
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- A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?A Small pickup truck that has a caliper shell slowly coasts toward a red light with negligible friction. Two dogs in the back of the truck are moving and making various inelastic collisions with each other and the walls. What is the effect of the dogs on the motion of the center of mass of the system (truck plus entire load)? What is their effect on the motion of the truck?A 2 kg block is moving at v= 3 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45∘frictionless inclined plane a)Calculate the maximum distance LL that the two blocks travel up the incline.
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- The roof of a tall building is 25 m above the ground. A rigid ball of mass 0,3 kg falls freely when dropped from the roof. It strikes the concrete floor on the ground with velocity v1. It bounces to a maximum vertical height of 6 m. The ball in contact with the floor for o,9 s. Ignore the effects of friction. Calculate the velocity v1 when the ball first hits the floor.stretch 38. Realizing that he could not drive up a 30°, ice-covered hill because there was no friction, Sir Isaac Newton had stopped his cart, of total mass 500 kg, at the bottom. He was struck in the rear by a London stage coach, of total mass 1500 kg. trav- elling at 20 m/s. The two vehicles stuck together, with nothing breaking loose, and slid up the hill in a straight line. How far up the slope did the wreckage get before coming to rest? (SIN '70)For a completely inelastic two-body collision, the kinetic energy retained by the objects is the same as O the difference in the kinetic energies of the objects before the collision. O 1/2Mv².com, where M is the total mass and Vcom is the velocity of the center of mass. O the total kinetic energy before the collision. O the kinetic energy of the more massive body before the collision. O the kinetic energy of the less massive body before the collision. Save for Later Submit Answer
- 4. A 63kg astronaut is on a spacewalk when the tether line to the shuttle breaks. The astronaut is able to throw a spare 10kg oxygen tank in a direction away from the shuttle with a velocity of 12m/s, propelling the astronaut back to the shuttle. Assuming the astronaut and tank started at rest, what is the astronaut's final velocity after throwing the tank? GU E 99+ SIA car (500 kg) rolls down a 3 degree incline hill a distance of 100 meters with negligible friction. At the bottom of the hill is strikes a small car (900 kg) on a horizontal roadway and they stick together, now iwth brakes locked and slide until both are stopped. The coefficient of kinetic friction is .4. a) How fast is the first car moving when the collision occurs? b) How fast are the pair moving after the collision? c) How far do they slide before stopping? d) how much mechanical energy is lost during the collision?6. A block of mass m and a block of mass 3m are used to sandwich a massless spring with spring constant k. The blocks are not connected to the spring. Initially the blocks are at rest on a frictionless surface, and they are being held together so that the spring between them is compressed by an amount D from its equilibrium length. The blocks are then released, and the spring pushes them off in opposite 3k directions. Find the final speeds of the two blocks. [Ans: v, -D; V3m 4m -D] 12m