At an amusement park there are 200-kg bumper cars A, B, and C that have riders withmasses of 45 kg, 70 kg, and 37.5 kg respectively. Car A is moving to the right with avelocity VA = 2 m/s and car Chas a velocity vc=1.5 m/s to the left, but car B is initially atrest. The coefficient of restitution between each car is 0.8.AThe velocity of car A, v"" A isThe velocity of car B, v"" BisThe velocity of car A, v" cisBDetermine the final velocity of each car, after all impacts, assuming car A hits car B before car C does.Assume positive sign denoting forward motion and negative sign denoting backward motion.Cm/s ((Click to select) ✔).m/s ((Click to select)).m/s ( (Click to select)).

Answered: Image /qna-images/answer/7c8f2558-1fee-40f3-88d8-6ff08bf1a6eb.jpg

At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 45 kg, 70 kg, and 37.5 kg respectively. Car A is moving to the right with a velocity VA = 2 m/s and car C has a velocity vc=1.5 m/s to the left, but car B is initially at rest. The coefficient of restitution between each car is 0.8. B The velocity of car A, v"" A is The velocity of car B, v"" Bis The velocity of car A, v" cis Determine the final velocity of each car, after all impacts, assuming car A hits car B before car C does. Assume positive sign denoting forward motion and negative sign denoting backward motion. C m/s ([(Click to select) ✔). m/s ([(Click to select) m/s ((Click to select)

At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 45 kg, 70 kg, and 37.5 kg respectively. Car A is moving to the right with a velocity VA = 2 m/s and car C has a velocity vc=1.5 m/s to the left, but car B is initially at rest. The coefficient of restitution between each car is 0.8. B The velocity of car A, v"" A is The velocity of car B, v"" Bis The velocity of car A, v" cis Determine the final velocity of each car, after all impacts, assuming car A hits car B before car C does. Assume positive sign denoting forward motion and negative sign denoting backward motion. C m/s ([(Click to select) ✔). m/s ([(Click to select) m/s ((Click to select)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: d and (b) the loss of energy |AE| due to the impact.

A: To find V and energy loss due to impact.

Q: friction and arrives at B, with the rope barely under tension. What was the initial velocity of the…

Q: Q9. The 1.1-kg ball is connected to a rigid rod with negligible mass. It is released from rest at…

Q: A manufacturing company is testing which material to enclose its packages with when dropping…

A: To find: The rebound velocity of packages A. Given: The initial velocity of package A is uA=5 ms.…

Q: =8 m/s Mass of disks A and B are ma=10 kg and mB=6 kg. If they are sliding on the smooth horizontal…

Q: A satellite describes an elliptic orbit about a planet of mass M . The minimum and maximum values of…

A: Given data Mass of the planet = M The minimum and maximum radius are ro and r1 Angular momentum of…

Q: The 0.5-kg ball strikes the rough ground and rebounds with the velocities shown. (Figure 1) Figure…

Q: VA

Q: at an amusement park there are 200 kg bumper cars A, B, and C that have riders with masses of 40kg,…

A: Given: The mass of bumper cars, m = 200 kg The weight of the person sitting on car A, mA = 40 kg The…

Q: A spring-loaded device imparts an initial vertical velocity of 58 m/s to a 0.11-kg ball. The drag…

A: Mass m = 0.11 Kg Fd = 0.0021 V2 Initial Velocity V0 =58 m/s To find out :- Maximum…

Q: d bounces off the the volecity

A: The height in which the ball will rise is 0.64 m

Q: A 4kg ball and 3kg ball move on a smooth plane along a straight path with speeds equivalent to 6m/s…

Q: (b) Two balls A and B, having a mass of 600 g and 1 kg, respectively, collide with the velocities…

A: To Find : The magnitude and direction of velocities just after impact. Given : The mass of the…

Q: Car A, with A-1600 kg, is stopped at a red light. Car B, with m8-2100 kg and a speed of v = 42 km/h.…

A: “Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: A 50,000 lb box car going 25 mi/h is to be hitched to a gondola carrying bulk copper ore (net…

A: To find: The time it takes for both railroad cars to come to rest. Given: The mass of car is M=50000…

Q: Q2/ A: The cars A and B are traveling with the velocities shown when they collide. If the…

A: Given Question A Initial velocity of car A = 54 km/h = 15 m/s Initial Velocity of car B = 36 km/h =…

Q: estion A and B are co by a rope fixed lengur start moving from rest at x = 0, being pulled by the…

A: Given data is

Q: Blocks A and B are connected by a light inextensible string and are initially at rest. The system is…

Q: A 35 000-Mg ocean liner has an initial velocity of 4 km/h. Neglecting the frictional resistance of…

A: Given data Mass of the ocean liner, m = 35 000 Mg. The initial velocity of the ocean liner, vo = 4…

Q: Considering two balls (A, B) with the same mass where ball A moves with 8 ft/s and ball B is at rest…

A: Since this is a non-head elastic collision, they separate in mutually perpendicular direction Given,…

Q: A 1.0-kg ball is thrown horizontally with a velocity of 15m/s against a wall. If the ball rebounds…

Q: A 5.0-kg ball rolls without sliding from rest down an inclined plane. A 4.0- kg block, mounted on…

A: Given, A 5.0-kg ball rolls without sliding from rest down an inclined plane. A 4.0- kg block,…

Q: A vehicle of mass 45 tonnes is moving at 85kmph. It collides with a second vehicle of mass 30 tonnes…

Q: A 0.80 kg mass is hung from a string of 0.70 meters. On its next pass, the mass strikes a spring,…

Q: An 8000 kg truck was travelling at a speed of 10 m/s when it collided with a 2000 kg automobile that…

A: Write the given data. mt=8000 kg ma=2000 kg e=0.75 t=0.4 sut=10 m/s

Q: A 0.0102-kg bullet is fired straight up at a falling wooden block that has a mass of 3.47 kg. The…

Q: The 3.9-lb rod AB is hanging in the vertical position. A 2.2-lb block, sliding on a smooth…

A: Coefficient of restitution=0.84 Mass of rod AB=3.9lb Mass of block= 2.2lb

Q: A vehicle of mass 1.1 t travelling East at 100 kph collides with a vehicle of mass 1.7 t travelling…

Q: A ball of 1 kg is released from a height of 5 meters. The ball falls down and rebounds from the…

Q: Blocks A and B are the particles that are connected with a cable as shown in the figure. The mass of…

A: for the given pulley-block system mA = 4 kg and mB = 10 kg s = 3 m To determine the velocity…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

At an amusement park there are 200-kg bumper cars A, B, and C that have riders with
masses of 45 kg, 70 kg, and 37.5 kg respectively. Car A is moving to the right with a
velocity VA = 2 m/s and car Chas a velocity vc=1.5 m/s to the left, but car B is initially at
rest. The coefficient of restitution between each car is 0.8.
A
The velocity of car A, v"" A is
The velocity of car B, v"" Bis
The velocity of car A, v" cis
B
Determine the final velocity of each car, after all impacts, assuming car A hits car B before car C does.
Assume positive sign denoting forward motion and negative sign denoting backward motion.
C
m/s ((Click to select) ✔).
m/s ((Click to select)).
m/s ( (Click to select)).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables

VIEW

Step 2: Consider impact between car A and car B

VIEW

Step 3: Consider impact between car B and car C

VIEW

Step 4: Consider second impact between car A and car B

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the pilot reaches the top of her static hover at 200 m. The combined thrust and lift force on the airplane applied at the end of the static hover can be expressed as F = (44t + 2500t2)i + (250t2 + t + 176 580)j, where F and t are expressed in newtons and seconds, respectively. Determine how long it will take the airplane to reach a cruising speed of 1000 km/hr (cruising speed is defined to be in the x-direction only).
At an amusement park in the greater area there are three 180-kg bumper cars occupied by seniors. The riders in cars A, B, and C have individual masses of 50, 70, and 40 kg respectively. Car A is observed to be moving to the right with a velocity v = 2 m/s and Car C is moving at vc = 1.5 m/s to the left. Car B is initially at rest with a collision imminent. The bumper cars are designed with a coefficient of restitution of 0.8 between each car, VC A B C Determine the final velocity of each car, after all impacts for the following two collision scenarios: (a) Cars A and Chit Car B at the same time, (b) Car A hits Car B before car C does (note there will be more than two total collisions)
Principle of Linear Impulse and Momentum for a System of Particles To apply the principle of linear impulse and momentum to a system of particles. Integrating the equation of motion, as applied to all particles in a system, yields ∑mi(vi)1+∑∫t2t1Fidt=∑mi(vi)2 where mi is the ith particle's mass, vi is the ith particle's velocity, and Fi is the external force that acts on the ith particle. This relationship states that the sum of the initial linear momenta, at time t1, and the impulses of all the external forces acting between times t1 and t2 is equal to the sum of the linear momenta of the system, at time t2. If the system has a mass center, G, the expression becomes m(vG)1+∑∫t2t1Fidt=m(vG)2 This expression allows the principle of linear impulse and momentum to be applied to a system of particles that is represented as a single particle. Two blocks, each of mass m = 6.90 kg , are connected by a massless rope and start sliding down a slope of incline θ = 36.0 ∘ at t=0.000 s. The…
Please asap
A ball of mass 1 kg moving with a speed of 2 m/s hits another ball of mass 2 kg at remains at rest if the first ball comes to rest after collision. The coefficient of restitution is
Freight car A with a gross weight of 194000 Ib is moving along the horizontal track in a switching yard at 1.9 mi/hr. Freight car B with a gross weight of 107000 Ib and moving at 2.6 mi/hr overtakes car A and is coupled to it. Determine (a) the common velocity V of the two cars as they move together after being coupled and (b) the loss of energy |AE| due to the impact. 2.6 mi/hr 1.9 mi/hr B A Answers: (a) V = i mi/hr ( b) |ΔΕΙ- i ft-lb
During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…
Box A is traveling down the smooth incline (0= 17°) and it hits box B, initially at rest, with the velocity of 5 m. Immediately after impact, box A moves up the incline with the velocity of 1 m. Determine the velocity of box B (in m) immediately after impact. Consider ma = 3 kg and mB = 18 kg. The positive direction is shown on the figure. VA В
None
**** Q4. A 400-kg car (car A) traveling at 20 m/s overtakes a 800-kg car (car B) traveling at 10 m/s in the same direction. Determine the speeds immediately after impact if: (a) Impact is assumed to be completely elastic. (b) If the coefficient of restitution is assumed to be 0.5 (c) Impact is assumed to be completely plastic. B **** *******
Hi, I have an engineering dynamics question.
A 10-kg package drops from a chute into a 25-kg cart with a velocity of 3 m/s. The cart is initially at rest and can roll freely. Determine (a) the final velocity of the cart, (b) the impulse exerted by the cart on the package, (c) the fraction of the initial energy lost in the impact.