Center of mass and momentum Questions and Answers

What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision? Express your answer with the appropriate units.

On a frictionless, horizontal air table, puck A (with mass 0.240 kg) is moving toward puck B (with mass 0.355 kg), that is initially at rest. After the collision, puck A has a velocity of 0.123 m/s to the left, and puck B has velocity 0.660 m/s to the right. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Collision along a straight line. Part A What was the speed of puck A before the collision? Express your answer in meters per second. Part B Calculate the change in the total kinetic energy of the system that occurs during the collisi Express your answer in joules.

Find the position of the center of mass of the system of the sun and Jupiter. (Since Jupiter is more massive than the rest of the planets combined, this is essentially the position of the center of mass of the solar system.) Express your answer in meters to three significant figures.

Radius of gyration of a body about an axis at a distance of 4 cm from its centre of mass is 8 cm. The radius of gyration about a parallel axis through its centre of mass is : A. 7 cm B. 3 cm C. 4 cm D.non of these

Two campers dock a canoe. One camper steps onto the dock. This camper has a mass of 80 kg and moves forward at 4.0 m/s. With what speed and direction do the canoe and the other camper move if their combined mass is 110 kg? (2.9 m/s backwards)

A 9.00 kg mass is moving to the right with a velocity of 14.0 m/s. A 12.0 kg mass is moving to the left with a velocity of 5.00 m/s. Assuming that these two balls have a head on collision and stick together, what will be the final velocity of the combination? (3.1 m/s)

Suppose that you have a mass of 45.7 kg and are standing on frictionless roller skates. Someone then throws you a 2.50 kg mass with a velocity of 14.5 m/s and you catch it. What will be your resultant velocity? (0.75 m/s)

Problem 9.36- Enhanced - with Feedback A 750-kg car stopped at an intersection is rear- ended by a 1800-kg truck moving with a speed of 14.0 m/s. You may want to review Here we learn how to determine the final speed of an object after an elastic collision with another object. Find the final speed of the car

A 51-kg person walks due north with a speed of 1.1 m/s, and her 6.8-kg dog runs directly toward her, moving due south, with a speed of 2.0 m/s. - Part A What is the magnitude of the total momentum of this system?

Two ice skaters, with masses of 50.0 kg and 85.0 kg, are at the center of a 60.0 m -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. Part A If the heavier skater reaches the edge in 40.0 s, how long does the lighter skater take to reach the edge?

Three identical train cars, coupled together, are rolling east at speed vo. A fourth car traveling east at 200 catches up with the three and couples to make a four-car train. A moment later, the train cars hit a fifth car that was at rest on the tracks, and it couples to make a five-car train. ▼ Part A What is the speed of the five-car train? Express your answer in terms of v0.

A 1600 kg car is rolling at 1.9 m/s. You would like to stop the car by firing a 8.0 kg blob of sticky clay at it. Part A How fast should you fire the clay? Express your answer with the appropriate units.

A 18.00 kg lead sphere is hanging from a hook by a thin wire 2.80 m long and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00 kg steel dart that embeds itself in the lead sphere. Part A What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision? Express your answer with the appropriate units. ANSWER:

A large 100 kg mass is travelling right at 20 m/s while a smaller 50 kg mass is travelling to the left at an unknown velocity. What would that velocity have to be if the masses undergo an inelastic collision with zero velocity afterwards?

An object of mass 6 kg moving with a speed of 24 m/s to the right collides with an object of mass 7 kg at rest. If the collision is completely inelastic, calculate the kinetic energy lost during the collision. (1 point) A. -1494.316 J B.-930.462 J C.-304.78 J D.-1139.423 J E. -492.764 J

A proton (m = 1.67 × 10-27 kg) traveling at 2.50 × 105 m/s collides with an unknown particle initially at rest. After the collision, the proton reverses direction and travels at 1.10 x 105 m/s. Determine the change in momentum of the unknown particle.

Two cars collide head on. Initially, automobile A (m= 1700.0 kg) is traveling at 10.00 m/s north and automobile B is traveling at 25.00 m/s south. After the collision, automobile A reverses its direction and travels at 5.00 m/s while automobile B continues in its initial direction at a speed of 3.75 m/s. What is the mass of automobile B?

A 0.140-kg baseball is dropped from rest from a height of 2.0 m above the ground. It rebounds to a height of 1.5 m. What change in the ball's momentum occurs when the ball hits the ground? 0.117 kg-m/s upwards 0.350 kg-m/s downwards 0.117 kg-m/s downwards 1.64 kg-m/s upwards 0.350 kg-m/s upwards

A 600-g mass traveling at 8.0 m/s undergoes a head-on elastic collision with a 200-g mass traveling toward it also at 8.0 m/s. What is the speed of the 200-g mass after the collision? 16 m/s 8.0 m/s 0 m/s 15 m/s 4.0 m/s

A fire hose is turned on the door of a burning building in order to knock the door down. This requires a force of 1000 N. If the hose delivers 40 kg per second, what is the minimum velocity of the stream needed, assuming the water doesn't bounce back? 15 m/s 30 m/s 20 m/s 25 m/s

A railroad car, of mass 200 kg, rolls with negligible friction on a horizontal track with a speed of 10 m/s. A 70-kg stunt man drops straight down a distance of 4.0 m, and lands in the car. How fast will the car be moving after this happens? 7.4 m/s 2.8 m/s 10 m/s 4.7 m/s

A ball of mass 160g is thrown up at an angle of 60° to the horizontal at a speed of 10ms ¹. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly: A 1.73 kgm²/s B 3.0 kgm²/s C 3.46 kgm²/s D 6.0 kgm²/s

A block A of mass m is lying on a rough horizontal surface. Another block B of mass 2m having velocity 10m/s just before collision, makes head on collision with stationary block A. The coefficient of restitution between blocks is 0.5, and the coefficient of friction between blocks and ground is 0.3. Find the distance between the blocks when they stop. A. 12.5m B. 13.5m C. 14.5m D. 15.5m

A block of mass 1 kg moving at a speed of 2.5 m/s collides with another block of mass 0.5 kg. If both the blocks come to rest after collision what was the velocity of the 0.5 kg block before the collision?

A velocity of a 25-g bullet is 250 m/s and enters a 3.0-kg block of wood. It comes out with 150 m/s. Wooden block is at rest on frictionless surface. How fast does the wooden block moves after collision?

Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is negligible. (a). How does the explosion affect the motion of the center of mass? (b). How would it be affected if the pieces experienced significantly more air resistance than the intact shell? (c). Comment on at least one student's response

A glider with a mass of 225 grams has a velocity of 30cm/s to the right. It collides inelastically with 190g glider traveling at 55cm/s to the left. Determine their velocity after the collision.

A 0.060-kg tennis ball, moving with a speed of 5.50 m/s, has a head-on collision with a 0.090- kg ball initially moving in the same direction at a speed of 3.00 m/s. Assuming a perfectly elastic collision, determine the speed and direction of each ball after the collision.

A freight car of mass 180,000 kg rolling down the track at 16 m/s collides with two identical in mass freight cars that were initially at rest. The three cars couple together and move off together. Calculate the speed of the combination of the three cars; treat it as a perfect inelastic collision, free of any external impulses. A. 3 m/s B. 1.5 m/s C. 4.5 m/s D. None of the above.

A 27-kg child runs at 3.5 m/s and jumps onto a shopping cart, with a mass of 23 kg. Assuming the child rides on the cart after the collision, the speed of the child and shopping cart, just after the child jumps on, is A. zero. B. 2.0 m/s.

The club was in contact with a ball, initially at rest, for about 0.0014 s. If the ball has a mass of 55 g and leaves the head of the club with a speed of 3.3 x 102 ft/s, find the average force (in kN) exerted on the ball by the club.

4) Two object again undergo a collision but totally bounce off this time. M₁,with a mass of 350g traveling at 17m/s to the right, strikes a stationary mass of 400g. What is the velocity of the masses after the collision and in which direction are they traveling? b) What is the velocity of the second mass after the collision and in which direction?

For this problem, five railroad cars each have a mass of 15,000 kg. Four connected railroad cars sit at rest on a track. The fifth car approaches them with a velocity of 20 m/s. The fifth car collides and couples with the other for cars. (a) What is the momentum of the fifthrcar before the collision? (b) What is the momentum of all the cars after the coupling? (c) What is the velocity of the five coupled cars after the collision? (d) What is the initial kinetic energy of the fifth before the collision? (e) What is the kinetic energy of all five cars just after the collision? (f) Is energy conserved in the collision?

A railroad car with a mass of 14,000 kg collides and couples with a second car of mass 16,000 kg that is initially at rest. The first car is moving with a speed of 17 m/s prior to the collision. (a) What is the initial momentum of the first car? (b) If external forces can be ignored, what is the final velocity of the two railroad cars after they couple?

Momentum: A bowling ball has a mass of 9 kg and à speed of 1.1 m/s. A baseball has a mass of 0.17 kg and a speed of 38 m/s. (a) What is the momentum of the bowling ball? (b) What is the momentum of the baseball?

A truck with a mass of 3,000 ke traveling with a speed of 5 m/s collides at right angles with a car with a mass of 2,000 kg traveling with a speed of 3 m/s. (a) Using the graphical method of vector addition, add the momentum vectors to get the total momentum of the system prior to the collision. Hint: Use a ruler to estimate the total momentum from your drawing. Or better yet, use the pythagorean theorem!

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance that the sled travels?

A 40 lb missile moves horizontally with a velocity of 150 ft/s. It is intercepted by a laser beam, which causes it to explode into two fragments A and B, which weigh 25 lbs and 15 lbs, respectively. If A travels at an angle of 45 degrees from the horizontal while B travels at 30 degrees from the horizontal immediately after the explosion, find the magnitude of the velocity of fragment A. Your answer. Blank 1 ft/s (2 decimals)

A block of mass m = 4.4 kg, moving on frictionless surface with a speed ₁-9.2 m/s, makes a sudden perfectly elastic collision with a second block of mass M, as shown in the figure. The second block is originally at rest. Just after the collision, the 4.4-kg block recoils with a speed of of=2.5 m/s. What is the mass M of the second block? 7.7 kg 0 kg 0 kg 0 kg 0 kg

. (II) The CM of an empty 1250-kg car is 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front? Assume that each person has a mass of 65.0 kg.

Particle A has a mass of 5.40 g and particle B has a mass of 2.20 g. Particle A is located at the origin and particle B is at the point (x, y) = (25.0 cm, 3.80 cm). What is the x-component of the CM? cm

A 3.0-kilogram steel ball whose initial velocity is 10∠20 meters per second and a 5.0-kilogram block of putty whose initial velocity is 30∠60° meters per second slide on a frictionless surface, as shown. The objects collide and the ball imbeds itself in the putty. Find the velocity of the combined mass immediately after impact.

A uniform smooth sphere mass 'm' Radius 'R' is being rotated uniformly with constant angular speed 'w' on a smooth horizontal table about a vertical axis passing through end 'O' with help of a rigid frame as show in figure. Rigid frame is made up of a thin rod mass 'm length 'R' and a ring mass 'm' Radius 'R'. Center of sphere lies in the plane of frame. Angular momentum of system about axis of rotation is

A 4.00-gram bullet has a velocity of +600 meters per second when it hits a stationary 1.996-kilogram block of wood suspended by two ropes of negligible mass, as shown. The bullet embeds itself in the block. (a) Find the velocity of the block and bullet immediately after impact.

A cart of mass M traveling to the right on a frictionless track with a speed 4vo collides with another cart of mass 2M traveling to the left with a speed vo. If this collision is perfectly elastic, and carts travel in opposite directions after collision, determine the speeds of the two carts immediately after the collision in terms of M and vo.

An object that has __________ units of momentum must experience 100 units of impulse in order to bring the object to a stop. A)50 B)100 C)25 D)200

Three identical cylinders each of mass M and radius R are in contact and kept on a rough horizontal surface, coefficient of friction between any cylinder and surface is. A force F=µMgt acts on the first cylinder. Mark the correct statement: (A) The cylinders will start pure rolling and keep on rolling without sliding (B) At t = 9 second slipping will start (C) Velocity of centre of mass of each sphere will keep on increasing (D) After a certain value of F angular velocity of each sphere will become constant

(b) How much kinetic energy is lost in the collision? J A railroad car of mass 2.70 x 104 kg moving 3.35 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? m/s

An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.00 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 41.0 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target? m/s

Jack (mass 55.0 kg) is sliding due east with a speed of 8.00 m/s on the surface of a frozen pond. He collides with Jill (mass 48.0 kg), who is initially at rest. After the collision, Jack is traveling at 5.00 m/s in a direction of 34.0⁰ north of east. (a) What is Jill's velocity (magnitude and direction) after the collision? Ignore friction. (b) What kind of collision is this?