Three carts of masses m1 = 4.50 kg, m2 = 9.50 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of v1 = 7.00 m/s to the right, v2 = 3.00 m/s to the right, and v3 = 5.50 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding.(a) Find the final velocity of the train of three carts.magnitude m/sdirection (b) Does your answer require that all the carts collide and stick together at the same moment?     What if they collide in a different order?

Question
Asked Dec 6, 2019
84 views

Three carts of masses m1 = 4.50 kg, m2 = 9.50 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of v1 = 7.00 m/s to the right, v2 = 3.00 m/s to the right, and v3 = 5.50 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding.

(a) Find the final velocity of the train of three carts.

magnitude  m/s
direction  

(b) Does your answer require that all the carts collide and stick together at the same moment?     


What if they collide in a different order?

check_circle

Expert Answer

Step 1

a)

According to law of conservation of linear momentum,

help_outline

Image Transcriptionclose

(I) m, + m,v, + m;V; = (m, + m, + m; )v Here m, is themass of cart1,m, is the mass of cart 2, m, is the mass of cart 3, i.v, & v, arethevelocities of m. m, & m; respectively and visthevelocity of the cart after colli sion

fullscreen
Step 2

Substitute the values in (I) and rearrange in terms of v

help_outline

Image Transcriptionclose

m,V + m,V, + m;V; (m + m, + m;) v= (4.5kg) (7m/s)+(9.5 kg) (3m/s)+(3kg)(5.5m/s) (4.5kg+9.5kg +3 kg) = 4.5m/s

fullscreen
Step 3

The final velocity is 4.5...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Newtons Laws of Motion

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: When 0.50 kg of water at 0°C freezes, what is the change in entropy of the water? The latent heat of...

A: Click to see the answer

question_answer

Q: Find an expression for the square of the orbital period. Express your answer in terms of G, M, R, a...

A: (a)The gravitational force must balance the centripetal force acting on the planet.The velocity of t...

question_answer

Q: Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 14...

A: Let x axis represents the west direction and y axis represents the south direction. According to law...

question_answer

Q: The support platform shown in the diagram has slipped so that it is not hanging horizontally. The pl...

A: Net torque about the point A is zero.

question_answer

Q: The price of gas is 2.90 per gallon. Calculate how much money you could expect to spend on a round t...

A: Let mileage of the car be 25 mile per gallonWrite the relation for number of gallons to cover the wh...

question_answer

Q: A sound wave moves through a medium with density 480kg/m^3 when it encounters a medium with density ...

A: Click to see the answer

question_answer

Q: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to...

A: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to...

question_answer

Q: When atmospheric pressure changes, what happens to the absolute pressure at the bottom of a pool? A)...

A: The absolute pressure is given by pressure from the pool plus the pressure from the atmosphere.

question_answer

Q: If we assume the vocal resonating cavities can be modeled as a 18 cm simple cylindrical closed pipe,...

A: A closed cylindrical air column will produce resonant standing waves at a fundamental frequency and ...