Carts Definition and 59 Threads

It's an explosion problem. When two carts are pulled apart, the bigger one takes longer than the smaller one. So the velocity of the bigger one is small, and the velocity of the smaller one is large, and they are opposite each other. So the momentum before the explosion must be equal to the...

My Explanation: This system is a closed system, so the center of mass velocity stays constant. It was initially at rest so the position of the center of mass is constant. After their collision, the 2 carts are to the right of x = 0. Center of mass originally was at x = 0, so the platform had to...

F - T = m*a 820t - T = m*0.7805t T = 820t - m*0.7805t I am confused what I would use as mass? Mass of cart A, or mass of cart A and tractor?

a)What is the total energy in the system? Only energy acting on the system assuming the track is level and there is no potential energy of the carts, is the potential energy of the spring. Comes out to 7.8125 using the potential energy of a spring equation. b) What are their velocities if the...

Summary:: When filling up carts with iron the real weight deviates from the nominal value 10 ton. The standard deviation is .5. What's the probability that 25 carts exceed 255 ton? The arithmetic median value is: $$X \in N(25 * 10, 0.5 / \sqrt{25}) = N(250, .1)$$ $$P(x > 255) = 1 - P(x < 255)...

Ever since the switch to online learning, I have been having trouble with understanding the topics right out of the book. And so I am just not sure if I am ever doing anything right in physics. So far I have calculated the KE of both carts KE(A)=0.634 J and KE(B)=0.254 J. I am unsure how exactly...

Problem Statement: A 2.0 kg cart and an 8 kg cart are connected by a relaxed, horizontal spring of spring constant 300 N/m. You pull the 8 kg cart with some constant horizontal force. The separation between the carts increases for a short time interval, then remains constant as you continue to...

I'm new to this forum, so please forgive if this is posted in the wrong thread and redirect me. I teach high school Physics and we just got a large unexpected grant which means I can finally buy a set of dynamics cart and track systems for my classroom. I am trying to decide between buying...

Homework Statement [/B] In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k=1200 N/m). a) Find the velocity of each cart after the collision b) Find the maximum compression of the...

Homework Statement What is the Average Force between m1 and m2. Show all work. Note that the masses are both at rest, and begin to push off of each other in opposite directions. Their velocity is measured when they reach 20cms distance. (I calculated the velocity when they reached this point...

Homework Statement Hi. My problem (from my picture) is which string (A or B) has more tension when the 50g object accelerates down and both carts move left. The pulley and string can be considered massless and frictionless. Homework Equations Fnet = m*a The Attempt at a Solution My thinking...

Homework Statement The air-track carts in the figure(Figure 1) are sliding to the right at 2.0 m/s. The spring between them has a spring constant of 140 N/m and is compressed 4.1 cm. The carts slide past a flame that burns through the string holding them together. What is the final speed of...

Homework Statement A 2.0-kg cart collides with a 1.0-kg cart that is initially at rest on a low-friction track. After the collision, the 1.0-kg cart moves to the right at0.50 m/s and the 2.0-kg cart moves to the right at0.30 m/s .If the positive direction is to the right, what was the initial...

Homework Statement A student runs an experiment with two carts on a low-friction track. As measured in the Earth reference frame, cart 1 (m = 0.48 kg ) moves from left to right at 1.0 m/s as the student walks along next to it at the same velocity. Let the +x direction be to the right. A. What...

Homework Statement On cart with a mass of 371 kg and another cart with a mass of 495 kg are rolling toward each other. Just before they collide, the 495 kg cart has a speed of 2.09 m/s, and the 371 kg cart has a speed of 1.90 m/s. We will consider the friction between the cart wheels and track...

Homework Statement #1. [Coupled Oscillators] A cart of mass m (car #1) and another cart of mass 2m (car #2) on a horizontal surface are connected by an ideal massless spring of spring constant k. The two carts are set into oscillation about their center-of-mass (CM) in Simple Harmonic...

Homework Statement Two identical carts A and B roll down a hill and collide as shown in the figure below. i) A starts from rest. It rolls down and collides head-on with B which is initially at rest on the ground. The two carts stick together. ii) A and B are at rest on opposite sides of the...

1. The problem statement, all variables and given/known A train of mass M is moving at uniform velocity v, being pulled by a locomotive with power P. A single cart of mass m gets detached. How far will it go before coming to stop? M, v, P and m are known. The attempt at a solution I know I'll...

Homework Statement Material is blown into cart A from cart B at a rate b kilograms per second. The material leaves the chute vertically down- ward, so that it has the same horizontal velocity u as cart B. At the moment of interest, cart A has mass M and velocity v. Find dv/dt, the instantaneous...

Homework Statement Cart 1 on ball-bearing wheels is moving at 4m/sec. It rolls down the hill and hits a stationary cart 2. The collision is elastic. The height of the hill is 1.02 m. Mass of Cart 1: 200 grams; Mass of Cart 2: 400 grams: Find the velocity of cart 1 at point B. [/B] Homework...

Homework Statement An assembled system consists of cart A of inertia mA, cart B of inertia mB, and a spring of negligible inertia, clamped together so that the fully compressed spring is aligned between the front end of cart B and the back end of cart A. The internal energy of the system...

Homework Statement Two 0.400-kg carts are 100 mm apart on a low-friction track. You push one of the carts with a constant force of 2.0N directed so that the cart you push moves away from the other cart. Determine the acceleration of the center of mass of the two-cart system when the carts are...

Homework Statement A 2.0-kg cart and an 8.0-kg cart are connected by a relaxed, horizontal spring of spring constant300 N/m. You pull the 8.0-kg cart with some constant horizontal force. The separation between the carts increases for a short time interval, then remains constant as you continue...

Homework Statement There are 2 versions of the problem that I've heard: A bucket on wheels is moving at a constant velocity on a frictionless surface. It's raining out so the bucket is gaining mass. Will it slow down, speed up, or remain at that velocity as it gains mass? A cart loaded...

Momentum -- Bumping 2 carts with magnets... Homework Statement I recently did an experiment in which I had bump a dynamic cart into another one with their magnets facing inwards to emulate a perfectly inelastic collision. Upon examining the initial and the final momentum of the cart, the...

This was from my last exam. I got this problem wrong. I feel like I should have known how to do it but I blanked out or something. Just coming here to figure out how it's supposed to be done. (This is from what I remember, numbers may be off from what was on the test) I know I got it wrong...

Homework Statement Two carts with masses m1 = 0.8 kg and m2 = 1.2 kg are moving toward each other with speeds v1 = 4.5 m/s and v2 = 3.8 m/s as shown in the diagram below. The two carts collide elastically. Some reason I'm getting too high of a value, don't know I'm doing wrong...

Homework Statement Take the example in Figure 3.12 on pg 117 (see attachment) with parameters ##m_1=m_2=1## and ##k_1=k_2=1##. Does there exist a set of initial conditions for which the first cart moves but the second cart does not? If so, find those conditions. Homework Equations The...

Homework Statement Two carts of equal mass (15 Kg) have a head on elastic collision. The first cart has a velocity of 18.5 m/s to the right, and the second has a velocity of 12 m/s to the left. What are the velocities of the two carts after the collision? Homework Equations Since it is...

Homework Statement There are two carts, A and B, they hit each other and bounce off (Elastic) Here is what is given: vi=0 Mass of A=.8kg I call it Ma Mass of B=1.6 kg I call it Mb Vbo=1.0 m/s vib=0 vfb=.3 m/s Homework Equations conservation of Momentum I have p1 = p2 Ma...

Homework Statement Two carts 'a' and 'b' are floating on a frictionless air-track and are stationary. 'a' is three times the mass of 'b'. They are being held together and there is a spring between them. The carts are released. Describe what happens after the release. Homework Equations...

Homework Statement Two carts collide. Cart A has a mass of 300 Kg and a velocity of 24 m/s. Cart B has a mass of 100 Kg and is stationary. Both carts have 20 m springs on them. Assume that the two carts exert no force on each other until the springs touch at a separation of d= 40 m, and...

Homework Statement A cart of mass m moves with a speed v on a frictionless air track and collides with an identical cart that is stationary. If the two carts stick together after the collision, what is the final kinetic of the system in terms of m and v? Homework Equations pi=pf...

Homework Statement A 15.0 kg toy cart is traveling at 5.5 m/s to the right when it collides head on with a 10.0 kg cart traveling at 4.0 m/s to the left. The objects collide and stick togethere. The coefficient of friction between the wheels of the cart and the floor is 0.40. How far will the...

Can you draw a force diagram to explain how a positive caster angle makes wheels return to a straight line in a shopping kart (as an example), while a negative caster angle would have the opposite effect. Thx

Homework Statement Two carts equipped with spring bumpers on an air track have an elastic collision. The 253-g cart has an initial velocity of 1.80 m/s [N]. The 232-g cart is initially stationary. What is the velocity of each cart after the collision?Homework Equations I know because cart 2 is...

Homework Statement Hello all, I was given a problem which states that there are two identical mining carts, A and B, traveling down a distance L with equal velocities on two identical tracks. There is an identical man in each cart. As the carts travel, it begins to snow, which in turn...

Homework Statement Two carts have a spring of negligible mass compressed between them. The spring has a force constant of 8000 N/m and is compressed 0.05 m from equilibrium. Cart 1 has a mass of 1.3 kg and cart 2 has a mass of 0.5 kg. What is the speed of cart 1? What is the speed of cart...

Homework Statement 3 carts are connected by strings. The first cart is 5kg, the second 2kg, and the third 8kg. A string is fixed at the front of the first cart is pulled with a force of 30 N. In the following problems be sure to illustrate your answers with the corresponding free body...

Relevant equations: Newton’s 2nd and 3rd Laws. Hooke’s Law. A 4kg cart and a 6kg cart are connected by a relaxed horizontal spring with spring constant 100 N/m. You pull the 6kg cart with some constant horizontal force. After a time, the separation between the carts remains constant and the...

In a supermarket parking lot, an employee is pushing ten empty shopping carts, lined up in a straight line. The acceleration of the carts is 0.05 m/s^2. The ground is level, and each cart has a mass of 26 kg. a. What is the net force acting on anyone of the carts? b. Assuming friction is...

Two carts each 12 cm long travel toward each other on a frictionless air glider track. The first cart on the left has an initial velocity of 18 cm/s toward the other cart that is stationary. The carts then collide. The cart on the left has a new velocity of -4cm/s and the stationary cart now has...

Hey guys, I got this project to do for physics. basically we each sit on one cart each (with wheels), and we attach the carts together. then one person throws the medecine ball to the other and we notice the there is no net movement. so how does this relate to Newtons law? i know it has to do...

Homework Statement Two air track carts are sliding to the right tied together by a string with a spring between them at 1.0m/s. The cart on the left has a mas of 0.1kg and the cart on the right has a mass of 0.3kg. The spring between them has a constant of 150N/m and is compressed at 0.042m...

Two "carts" and two masses on one ramp. Homework Statement http://web.ics.purdue.edu/~tkissel/hell.jpg Assume that both of the masses on the ramp are carts with equal masses. Assume no friction in this problem. There is no acceleration. Calculate the unknown mass (on the right side of the...

Correct? Please let me know if my logic is off. Given Problem A shopper pushes a 6.1 kg shopping cart up a 13° incline, as shown in the figure. Find the magnitude of the horizontal force, F, needed to give the cart an acceleration of 1.51 m/s2. Relevant equations F = ma Fy = F1cos13°...

Homework Statement Two 1kg carts and a 500g weight are linked with cables. One of the carts sits on a 15° ramp, while the other is on a horizontal surface. See diagram. Find the tension in the cable linking the two carts. i attached the picture. Homework Equations im not sure, but i think...

Homework Statement The problem is to give the forces that two carts experience in 4 different situations. A java applet was provided to simulate the situations which is http://physics.bu.edu/ulab/prelabs/prelab_forces_1.html" , but I will describe them as well, just in case you don't have java...

A cart (m1 = 110 kg) is moving to the right along a track at v1i = 17 m/s when it hits a stationary cart (m2 = 390 kg) and rebounds with a speed of v1f = 7 m/s in the opposite direction. a) With what speed does the 390 kg cart move after the collision? I used conservation of momentum...

Homework Statement Six roller-coaster carts pass over the same semicircular "bump." The mass M of each cart (including passenger) and the normal force n of the track on the cart at the top of each bump are given in the figures. Rank the speeds (from largest to smallest) of the different carts...