Two masses, m and 2m are start from opposite edges of a frictionless hemispherical bowl of...

Two masses, m and 2m are start from opposite edges of a frictionless hemispherical bowl of radius R at the same time, and with zero initial speed. (Gravitational acceleration is g) (a) (4 Pts.) Where will they collide? (Explain your reason) (b) (6 Pts.) If they collide elastically head on, how high would 2m rise from the bottom of the bowl after the collision? (c) (10 Pts.) Now assume that the two masses are left from two points that are a quarter of the circle apart on the rim (one is on the x, the other is on the y-axis). If their collision is completely inelastic, how high would the combined mass rise from the bottom of the bowl?

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

two small blocks with masses m and 2m are attached to a spring with negligible mass,...

two small blocks with masses m and 2m are attached to a spring with negligible mass, spring constant k, and has a natural length defined by L. The blocks and the springs rest on a horizontal surface without friction with the block with mass m in frictionless contact with a wall located at x=0. the system is entirely released from rest at t=0 with spring compressed to a length l/2. Determine the linear momentum impulse delivered to the lighter block...

Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light...

Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of v with arrow3m = 1.70 m/s. (a) What is the velocity of the block...

Two 1.8 kg masses are 1.2 m apart (center to center) on a frictionless table. Each...

Two 1.8 kg masses are 1.2 m apart (center to center) on a frictionless table. Each has +10 μC of charge. a.) What is the magnitude of the electric force on one of the masses? b.) What is the initial acceleration of the mass if it is released and allowed to move?

In a demolition derby, two cars start from rest at opposite ends of a track. At...

In a demolition derby, two cars start from rest at opposite ends of a track. At exactly the same instant they begin to accelerate towards each other in a straight line. Car A accelerates at a rate of aA = 3.0 m/s2 , while Car B accelerates at a rate of aB = 4.0 m/s2 in the opposite direction. After 6.5 s the cars collide. Please use a coordinate system where Car A is travelling in the positive direction. a)(8...

Two masses are on a horizontal, frictionless surface. The plane of the surface is the x-y...

Two masses are on a horizontal, frictionless surface. The plane of the surface is the x-y plane. Mass m1 = 1.0kg is at rest while mass m2 = 2.0kg is moving in the positive x-direction at 15m/s. The two masses then undergo a collision and mass m2 is moving with a speed of 9.0m/s at an angle of 35 degrees after the collision. 1) What is the speed of the center of mass of the two masses before the collision?...

A 3.1 kg rod of length 5.1 m has at opposite ends point masses of 4.0...

A 3.1 kg rod of length 5.1 m has at opposite ends point masses of 4.0 kg and 6.0 kg. a)Will the center of mass of this system be nearer to the 4.0-kg mass, nearer to the 6.0-kgmass, or at the center of the rod? b) Where is the center of mass of the system? (F-net=M[Vcm/t] xCM= (summation of all mass by distance)/system of mass Diagram please, not fully understand the system. getting 5.03m

two fishermen, of masses 70 and 90 kg stand at opposite ends of their 20 meter...

two fishermen, of masses 70 and 90 kg stand at opposite ends of their 20 meter boat. the boat ( without fisherman) has a mass of 400 kg. There is no wind or current and the boat can move without friction on the water's surface. The 90 kg fisherman walks to the left end of the boat. How far the moved when the fisherman reaches the left end?

A spring of negligible mass is compressed between two masses on a frictionless table with sloping...

A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end. (Note: the masses are not attached to the spring in any way, and so will fly apart after release.) The masses are released simultaneously. The mass M1 is greater than that of M2. Select the appropriate symbol for each statement: G (Greater than), L (Less than), or E (Equal to). (If the first two are 'greater than,' and the last...

Two particles of equal masses m1=m2 move on a frictionless horizontal surface in the vicinity of...

Two particles of equal masses m1=m2 move on a frictionless horizontal surface in the vicinity of a fixed force center, with potential energies U1 = 1/2kr^(2)1 and U2 = 1/2kr^(2)2. In addition they interact with each other via a potential energy U12 = 1/2αkr^2 where r is the distance between them and α and k are positive constants. (a) Find the Lagrangian in terms of the CM position R and the relative position r. (b) Write down and solve the...

Two masses, 4.0 kg and 6.0 kg, are connected by a "massless" rope over a "frictionless"...

Two masses, 4.0 kg and 6.0 kg, are connected by a "massless" rope over a "frictionless" pulley as pictured in the diagram. The ramp is inclined at 30.0 degrees and the coefficient of kinetic friction on the ramp is 0.18. a) determine acceleration of the system once it begins to slide b) determine tension in the rope. Show all work

Subjects