A ball of mass m is shot straight up into the air with an initial speed vi.   (a) What is the maximum height reached by the ball (in terms of vi and g)?   (b) A second ball is dropped from rest from a height, h, directly above the first ball, and is released at the same time that the first ball is shot upwards. At what height will the two balls collide? Provide an expression in terms of h, vi, and g.   (c) From what height should the second ball be dropped from so that the two balls collide when the first ball is at its maximum height?

Q: A cannon, at a height of 12 meters, fires cannon ball 1 of mass m1 = 12 kg horizontally at constant…

A:

Q: A  0.420 kg  block  of  wood  hangs  from  the  ceiling  by  a  string  and  a  0.0750 kg  wad of…

A: Given: Mass of the wooden block, m1=0.42kg Mass of the wad of putty, m2=0.075 kg The initial…

Q: Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as…

A: Given  Mass of sphere A  mA = 0.020 kg Mass of sphere B mB = 0.0300 kg Mass.of sphere C mC = 0.050…

Q: A bullet of mass m-8 g is fired into a block of mass M=2.5 kg initially at rest at the edge of a…

A: The mass of the bullet is m = 8 g = 8 x 10-3 kg. Assume the initial velocity of the bullet is…

Q: A car moving with an initial speed v collides with a second stationary car that is 54.9 percent as…

A: The total initial and final momentum of two cars are equal.

Q: In a game of curling, a collision occurs between two stones of equal mass. The object stone is…

A:

Q: Compute the final velocities v1' and v,' after collision of the two cylinders which slide on the…

A:

Q: A bowling ball of mass 7. 5kg travelling at 10 m/s rolls off a horizontal table 1.0m high. Ignore…

A: mass of bowling ball (m) = 7.5 kg Horizontal velocity of the ball (v) = 10 m/s height of the table…

Q: An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is…

A: In an elastic collision, momentum is conserved before and after collision,

Q: Problem 4: A block of mass my = 14 kg slides along a horizontal surface (with friction, μk = 0.26) a…

A:

Q: Two identical objects with the same initial speed collide and stick together. If the composite…

A: Consider that the mass of each body is = m. Let the two bodies make angle θ1 & θ2 with the…

Q: m1= 2kg  V1=10 m/s  (east)   m2=10kg  V2=20 m/s  (30 south of west) The collision is completely…

A: since you have posted a question with multiple sub-parts , we will solve first three sub-parts for…

Q: In the figure, two particles are launched from the origin of the coordinate system at time t = 0.…

A: Solution: (a) As particle 2 always stays directly above particle 1 during the flight, it means that…

Q: A runaway train car of mass Mis barreling along some train tracks at speed u when it crashes into a…

A: Given data:  Mass of running train car = M Speed of train car = v Mass of stationary train car = m…

Q: In the figure, two particles are launched from the origin of the coordinate system at time t 0.…

A: Centre of mass of system of particles is the point representing the mean position of the matter  in…

Q: Two billiard balls are initially traveling toward each other at speeds of 1.35 m/s for ball 1 and…

A:

Q: In a classic comedy gag, a clown gets a pie thrown at their face. The pie weighs 0.9097 kg and flies…

A: mass (m) = 0.9097 kg initial velocity (u) = 2.91 msfinal velocity (v) = 0 mstime (t) = 621ms= 0.621…

Q: Suppose a clay model of a koala bear has a mass of 0.205 kg and slides on ice at a speed of 0.745…

A: The total momentum of an isolated system remains constant. Initially, the koala bear slides with a…

Q: Consider two rigid objects whose masses are mA and mB. Their initial velocities are vAi and vBi.…

A:

Q: The figure below shows a man in a boat on a lake. The man's mass is 73 kg, and the boat's is 138 kg.…

A:

Q: Find the final velocity (v,). Note that left is negative and right is positive Before Collision…

A: Given, Let the yellow ball be body 1 and the blue ball be body 2 . m1 = 4 kg , u1 = 10 m/s ,v1 = -2…

Q: efore ball A, at what height will ball A catch up to ball B? 2) [Vertical] A green ball (m= 2 kg) is…

A: Given,  Mass of green ball = 2 kg . Height from which green ball is dropped = 8 m . At the moment it…

Q: An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass ma…

A: It is given that the box was in stationary position initially Then after it explode, the ma and mb…

Q: After the collision, the orange ball always goes off in the positive x-direction.  The final speeds…

A: →V0=6 m/s    M=2kg    ϕ=60°    before collision→

Q: A ball of mass m is shot straight up into the air with an initial speed Vị.

A:

Q: How much fuel would be needed for a 1000-kg rocket (this is its mass with no fuel) to take off from…

A:

Q: An object of mass m = 3.0 kg is released from rest at the top of the incline plane below. What is…

A:

Q: er of the Earth. A 1024.kg blue ball is dropped from an initial z-position of 4.2 x 106 n nass of…

A: Mass of blue ball = m = 10²⁴ kg  Height = h = 4.2*10⁶ m  Radius = R =8.6*10⁶ m  Mass of planet = M…

Q: A rubber bullet of mass m = 0.025 kg traveling at velocity vo an iron block of mass M = 15 kg…

A: Mass of bullet ( m ) = 0.025 kg Velocity of bullet ( v0 ) = 50 m/s  Mass of iron block ( M )= 15 kg…

Q: Q1/A:/ The cars A and B are traveling with the velocities shown when they collide. If the…

A: e= 0.3 = Relative velocity after collision/ Relative velocity before collision m1 = 700 kg m2=900 kg…

Q: Questions 5.-6. refer to a glancing collision between two balls with the following initial and final…

A: We will use conservation of momentum here. About x axis: 3.5 x 5 = 3.5x2+4.5 x v2x V2x = 2.33 m/s Vx…

Q: A ball is thrown vertically up, reaches a maximum height, and then falls back down to the ground.…

A: Please see the answer below.

Q: You're playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by an…

A:

Q: You hold glider A of mass 0.125 kg and glider B of mass 0.375 kg at rest on an air track with a…

A: Given that, Mass of glider A = 0.125 kg Mass of glider B = 0.375 kg Mass of glider C = 0.750 kg…

Q: In the figure, two particles are launched from the origin of the coordinate system at time t = 0.…

A: GIVEN: mass of particle m1 = 3.1g  velocity of particle = 11.8m/s mass of particle m2 = 1.10g…

Q: Professional golfers can drive the ball over 200 m. While air resistance is significant, its effects…

A:

Q: A ball, m1 = 0.1 kg, having initial velocity v1i = 0.5 m/s hits a stationary ball in a glancing…

A:

Q: Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is…

A: Using Momentum Conservation,

Q: A bullet of mass mi is fired into a block of mass M2 initially at rest at the edge of a frictionless…

A:

Q: A 250-kg flatcar 23 m long is moving with a speed of 7.0 m/s along horizontal frictionless rails. A…

A: Given information:Mass of the flat car, M = 250 kg Mass of the worker, m = 95 kgThe velocity of the…

Q: A man in a rowboat on a lake. The man's mass is 67 kg, and the rowboat's is 117 kg. The man and…

A: Given: The mass of the mass is 67 kg. The mass of the rowboat is 117 kg. The mass of the package is…

Q: The fisherman's mass is 70 kg, and the rowboat's is 119 kg. The fisherman and rowboat are initially…

A:

Q: The 1-kg ball is thrown at the suspended 10-kg block with a velocity of 4 m/s. If the coefficient of…

A:

Q: You are standing on top of the Empire State Building (height 330 m) when Superman flies past. He is…

A:

Q: dentical twins, each with mass 62.0 kg, are on ice skates and at rest on a frozen lake, which may be…

A: Given: Here we are given two identical twin skaters A and B of mass 62.0 kg each, they both are on…