Question 12.Two laboratory carts are placed on a frictionless surface. A spring is attachedto both carts and compressed. A string holds the two carts together so thatthey are motionless. Cart I has a mass of m and cart II has a mass of 2.5m.1Cart ICart ImStringSpringThe string is cut and the carts move in opposite directions; cart I has a velocityof 0.80 m/s, left.Cut stringSpringCart IIThe speed of cart II after the string is cut isA. 3.1 m/sB.2.0 m/sC.0.80 m/sD.0.32 m/s2.5mCart II2.5m

Given Information:- Mass of the cart I is m Mass of the cart II is 2.5m Final speed of the cart I is…

Question 12. Two laboratory carts are placed on a frictionless surface. A spring is attached to both carts and compressed. A string holds the two carts together so that they are motionless. Cart I has a mass of m and cart II has a mass of 2.5m. Cart I Cart I m m String Spring The string is cut and the carts move in opposite directions; cart I has a velocity of 0.80 m/s, left. Cut string Spring Cart II The speed of cart II after the string is cut is A. 3.1 m/s B. 2.0 m/s C. 0.80 m/s D. 0.32 m/s 2.5m Cart II 2.5m VII

Question 12. Two laboratory carts are placed on a frictionless surface. A spring is attached to both carts and compressed. A string holds the two carts together so that they are motionless. Cart I has a mass of m and cart II has a mass of 2.5m. Cart I Cart I m m String Spring The string is cut and the carts move in opposite directions; cart I has a velocity of 0.80 m/s, left. Cut string Spring Cart II The speed of cart II after the string is cut is A. 3.1 m/s B. 2.0 m/s C. 0.80 m/s D. 0.32 m/s 2.5m Cart II 2.5m VII

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 41PQ: There is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g....

See similar textbooks

Similar questions

You hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3(e) 9
A bullet with a mass of 0.01 kg is tired horizontally into a block of wood hanging on a string. The bullet sticks in the wood and causes it to swing upward to a height of 0.1 m. If the mass of the wood block is 2 kg, what was the initial speed of the bullet?
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 man of mass m 1 = 70.0 kg is skating at v1 = 8.00 m/sbehind his wife of mass m 2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collideswith her. He grabs her around the waist, and they maintaintheir balance. (a) Sketch the problem with before - and - afterdiagrams, representing the skaters as blocks. (b) Is the collisionbest described as elastic, inelastic, or perfectly inelastic? Why?(c) Write the general equation for conservation of momentumin terms of m 1, v 1, m 2, v 2, and final velocity vf . (d) Solve themomentum equation for vf . (e) Substitute values, obtaining thenumerical value for vf , their speed after the collision.
The two dynamics carts, one single cart of mass 1.0 kg, the other a double cartof mass 2.0 kg, each with essentially frictionless wheels, are in contact and at rest. The compressionspring on the single cart is suddenly released, causing the cart to exert an average force of 2.0 N [E] onthe double cart for 0.50 s Q1. . During the time interval that the springs acts ont the double cart, the force exerted by the double carton the single cart isa) 2.0 N [W] b)2.0 N [E] c) 0.0 N d) 4. 0 N [W]e) 4.0 N [E] Q2. . During the spring interaction, the net force acting on the single cart isa) 4. 0 N [W] b) 2.0 N [E]c) 2.0 N [W] d) 4.0 N [W]e) zero Q3.During the interaction, the acceleration of the double ca rt isa) 0. 33 m/?2 [E] b) 3.0 m/?2[E]c) 1.0 m/?2[E] d) 0.50 m/?2[E]e) 2.0 m/?2[E]
A small car with mass 800 kg travels at 30 m/s. It collides head-on with a large semi-trucl with mass 32,000 kg travelling at 20 m/s in a perfectly inelastic collision. What is the final speed of the car and truck? a. 18.9 m/s b. 18.6 m/s c. 18.8 m/s d. 18.4 m/s
Two blocks with mass m1=200g and m2=400g, are coupled together and move to the right along a frictionless floor at 30 cm/s. A small explosive charge on one block goes off causing the 200g block to stop. After the explosion, what is the speed of the 400g block?
A student of mass m = 56 kg runs at a velocity vi = 1.55 m/s before jumping on a skateboard that is initially at rest. After jumping on the board the student has a velocity vf = 1.41 m/s. What is the mass of the skateboard in kg?
A 20.0-g bullet moving at 1 000 m/s is fired through a one-kg block of wood emerging at a speed of 100 m/s. If the block had been originally at rest and is free to move, what is its resulting speed? A) 22.0 m/s B) 18.0 m/s C) 20.0 m/s D) 2.00 m/s E)45.0 m/s
A magician tosses a ball (m = 0.300 kg) with initial velocity v = 25.0 m/s at a15.0° angle from the horizontal. To ensure that he can follow the ball’s movement, he moves his right handvertically so that it is always at the same height as the ball. After 0.100 seconds, he casts a rubber-likeelastic string from his right hand to instantly grab onto the ball. The string immediately sticks to the balllike gum, but does not impart any momentum onto it. The string then behaves like a spring that is initiallyunstretched, pulling the ball back with a force constant of k = 4.40 × 10−3 N/m. How far from the magicianwill the ball land?
Hi , this is a problem from my homework which I would love to have help with the steps to figure it out. One object moves in the positive ? direction with speed ?. Another object moves in the opposite direction with the same speed, but with one‑fourth the mass of the first object. The two objects have a completely inelastic collision. What is the final ? component of the velocity? ?/2 ? 3?/5 ?3 0
A 10.0 kg cart and a 15kg cart are locked together with a compressed spring between them. They are then released so that the spring pushes the two carts apart. The 15kg cart is moving at 3.0 m/s afterward. How fast is the 10.0 kg cart moving? A. 4.5 m/s B. 2 m/s C. 3 m/s D. 5 m/s