Question

# An object with velocity 1.4 m/s i and mass 0.27 kg collides with an object whose...

An object with velocity 1.4 m/s i and mass 0.27 kg collides with an object whose velocity is -2.5 m/s i and whose mass is 0.12 kg. The motion takes place in one dimension. (a) What are the final velocities of the objects if the collision is elastic? b.) What is the total initial kinetic energy in the collision?

ELASTIC COLLISION ONE DIMENSIONAL

m1 = 0.27 kg                   m2 = 0.12 kg

speeds before collision

u1 = 1.4i                     u2 = -2.5i m/s

speeds after collision

v1 = ?                         v2 = ?

initial momentum before collision

Pi = m1*u1 + m2*u2

after collision final momentum

Pf = m1*v1 + m2*v2

from moentum conservation

total momentum is conserved

Pf = Pi

m1*u1 + m2*u2 = m1*v1 + m2*v2 .....(1)

from energy conservation

total kinetic energy before collision = total kinetic energy after collision

KEi = 0.5*m1*u1^2 + 0.5*m2*u2^2

KEf =   0.5*m1*v1^2 + 0.5*m2*v2^2

KEi = KEf

0.5*m1*u1^2 + 0.5*m2*u2^2 = 0.5*m1*v1^2 + 0.5*m2*v2^2 .....(2)

solving 1&2

we get

v1 = [ ((m1-m2)*u1) + (2*m2*u2) ] /(m1+m2)

a)

v1 = ( ((0.27-0.12)*1.4) - (2*0.12*2.5) ) /(0.27+0.12)

v1 = -1 i m/s

v2 = ( ((m2-m1)*u2) + (2*m1*u1) ) /(m1+m2)

v2 = ( 0-((0.12-0.27)*2.5) + (2*0.27*1.4) ) /(0.27+0.12)

v2 = 2.9 i m/s

b)

KE = 0.5*m1*u1^2 + 0.5*m2*u2^2 = (0.5*0.27*1.4^2) +(0.5*0.12*2.5^2) = 0.6396 J

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• An Engineering consultant appointed on the construction of a Bridge site decided to conduct the Plate...
• Create a program in java using if statements Suppose the WIFI of a client is not...
• W Mart, one of major retailers, reported cash flows and earning: Comprehensive income) for the firm...
• Parker Hi-Fi Systems Parker Hi-Fi Systems, located in Wellesley, Massachusetts, a Boston suburb, assembles and sells...
• Manufacturing companies strive to maintain production​ consistency, but it is often difficult for outsiders to tell...
• There is a difference between statistical probability and theoretical probability. The theoretical probability of rolling a...