Question

Please Help! 25 BRAIN POINTS

Romeo (m = 60 kg)runs North towards Juliet (m = 45 kg) at a speed of 1.5 m/s. Juliet runs South towards Romeo at a speed of 2.2 m/s. The 2 collide (epic hug) in a head-on perfectly elastic collision. Find the velocity of the star-crossed lovers immediately after the collision.

Answer 1

Answer: V' = 1.514m/s

Explanation: Given the Impulse-Momentum Theorum, this is a description of an INELASTIC Collision. When you hug, you stick, making it inelastic.


Formula: m1xV1+m2xV2= pTotal, or total momentum

m1=60kg

V1=1.5m/s

m2=45kg

V2=2.2m/s

so (60)(1.5)+(45)(2.2)=159 kgm/s

To find the Resultant velocity of the lover(s) - plural (signalling inelastic)

you would take the sum of the m1+m2, which is 105kg-> then create the equation 159/105, which is the total momentum divided by the total mass, which would equate to the resultant velocity of an inelastic collision.

Hope this helped.