Question

A mass of 5 kg is moving at 14 m/s in the +x direction and it...

A mass of 5 kg is moving at 14 m/s in the +x direction and it collides inelastically with a mass of 7 kg moving in the -x direction. The collision takes places in 0.38 seconds and the average force on the mass moving in the +x direction is 232 Newtons in the -x direction. How much total kinetic energy is lost in the collision in Joules? Answer is a positive number since I'm asking how much is lost.

Homework Answers

Answer #1


m1 = 5 kg

v1x = 14 m/s

m2 = 7 kg

v2x = ?

after collsion


v1'x = ?


v2'x = ?

Force applied on m1


F1 = m1*(v1'x-v1x)/t

-232 = 5*(v1'x - 14)/0.38

v1'x = -3.632 m/s


final velocity of m1 , v1'x = -3.632 m/s

final velocity of m2 , v2'x = -3.632 m/s


v1'x = v2'x = v = -3.632 m/s

from momentum conservation


mometum before collision = momentum after collision


m1*v1x + m2*v2x = (m1 + m2)*v2'x

(5*14) + (7*v2x) = (12)*(-3.632)

v2x = -16.23 m/s

initial energy Ki = (1/2)*m1*v1x^2 + (1/2)*m2*v2x^2


Ki = (1/2)*5*14^2 + (1/2)*7*16.23^2 = 1412 J


final energy Kf = (1/2)*(m1+m2)*v^2


Kf = (1/2)*12*3.632^2 = 9.15 J


energy lost = 1332.85 J

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A mass of 4 kg is moving at 11 m/s in the +x direction and it...
A mass of 4 kg is moving at 11 m/s in the +x direction and it collides inelastically with a mass of 6 kg moving in the -x direction. The collision takes places in 0.40 seconds and the average force on the mass moving in the +x direction is 217 Newtons in the -x direction. How much total kinetic energy is lost in the collision in Joules? Answer is a positive number since I'm asking how much is lost.
A mass of 5 kg is moving at 12 m/s in the +x direction and it...
A mass of 5 kg is moving at 12 m/s in the +x direction and it collides inelastically with a mass of 10 kg moving in the -x direction. The collision takes places in 0.27 seconds and the average force on the mass moving in the +x direction is 170 Newtons in the -x direction. How much total kinetic energy is lost in the collision in Joules? Answer is a positive number since I'm asking how much is lost. please...
Mass 1 is moving at 3 m/s in the +x direction and it collides inelastically with...
Mass 1 is moving at 3 m/s in the +x direction and it collides inelastically with mass 2 of 16 kg moving at 13 m/s in the + x direction. 138 Joules of KE is lost in this collision. What is the average force on mass 1 if the collision takes place in 0.3 seconds? Answer in Newtons.
A mass of 3 kg is initially moving in the +x direction and collides inelastically with...
A mass of 3 kg is initially moving in the +x direction and collides inelastically with a mass of 10 kg moving in the -x direction at 2 m/s. After the collision, both masses move in the +x direction at 4 m/s. How much kinetic energy is lost in the collision in Joules? Answer is positive
2a) Mass 1 is moving at 6 m/s in the +x direction and it collides in...
2a) Mass 1 is moving at 6 m/s in the +x direction and it collides in a perfectly elastically with mass 2 of 2 kg moving at 15 m/s in the -x direction. They collide for 0.3 seconds, and the average force on mass 1 is 148 N in the -x direction. What is the mass of mass 1 in kg? 2b) Mass 1 is moving at 3 m/s in the +x direction and it collides inelastically with mass 2...
Q1) Mass 1 is moving at 2 m/s in the +x direction and it collides inelastically...
Q1) Mass 1 is moving at 2 m/s in the +x direction and it collides inelastically with mass 2 of 17 kg moving at 11 m/s in the + x direction. 122 Joules of KE is lost in this collision. What is the average force on mass 1 if the collision takes place in 0.1 seconds? Answer in Newtons. Q2) A disk is initially spinning at 18 counter-clockwise. After 5 seconds, it is spinning clockwise and a piece of dust...
i)A mass of 3 kg is moving at 4 m/s in the +x direction which collides...
i)A mass of 3 kg is moving at 4 m/s in the +x direction which collides inelastically with a mass (mass 2) of 8 kg. After the collision, the masses are moving at 4 m/s in the +x direction. What is the initial velocity of mass 2 in m/s? If in the negative x direction, include a negative sign. ii) A mass of 4 kg is moving at 6 m/s in the +x direction which collides inelastically with a mass...
A mass is moving at 6 m/s in the +x direction and it collides in a...
A mass is moving at 6 m/s in the +x direction and it collides in a perfectly elastic collision with a mass of 5 kg moving in the -x direction. The collision takes places in 0.25 seconds and after the collision the mass that was moving in the +x direction is moving in the -x direction at 6 m/s and the mass that was moving in the -x direction is moving in the +x direction at 13 m/s. What is...
A mass is moving at 8 m/s in the +x direction and it collides in a...
A mass is moving at 8 m/s in the +x direction and it collides in a perfectly elastic collision with a mass of 4 kg moving in the -x direction. The collision takes places in 0.20 seconds and after the collision the mass that was moving in the +x direction is moving in the -x direction at 9 m/s and the mass that was moving in the -x direction is moving in the +x direction at 11 m/s. What is...
A mass is moving at 7 m/s in the +x direction and it collides in a...
A mass is moving at 7 m/s in the +x direction and it collides in a perfectly elastic collision with a mass of 2 kg moving in the -x direction. The collision takes places in 0.19 seconds and after the collision the mass that was moving in the +x direction is moving in the -x direction at 9 m/s and the mass that was moving in the -x direction is moving in the +x direction at 15 m/s. What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT