Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

thanks Find the center of mass xcm of the three masses in the following figure A

ID: 2115513 • Letter: T

Question

thanks

Find the center of mass xcm of the three masses in the following figure A railroad freight car. mass 15.000 kg, is allowed to coast along a level track at a speed of 2.0 m/s. It collides and couples with a 50,000-kg second car, initially at rest and with brakes released. What is the speed of the two cars tiller coupling? A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration of the wheel? A 0.060-kg tennis ball. moving with a speed of 2.5 m/s, has a head-on collision with 0.090-kg initially moving away from it at a speed of 1.00 m/s. Assuming a perfectly elastic collision, what is the speed of each ball after the collision?

Explanation / Answer

1)your process as well as answer is 100% correct.

2)conserving linear momentum,

15000*2=(15000+50000)*v

or v=0.4615 m/s

3)radius=0.34 m

so acceleration eb a.so,

v^2=2as

or 8.4^2=2*115*a

or a=0.3068

so angular retardation=a/r

=0.3068/0.34

=0.902 rad/s^2

4)let the final velocites be v and u

so conserving momentum,

0.06*2.5+0.09*1=0.06*u +0.098v

conservign energy,

0.5*0.06*2.5^2+0.5*0.09*1^2=0.5*0.06*u^2+0.5*0.09*v^2

or u(0.06)=0.3106 m/s

v(0.09)=2.25 m/s