Consider a glancing collision between two identical spheres of 0.035 kg, with on

Question

Consider a glancing collision between two identical spheres of 0.035 kg, with one of the spheres initially at rest. Initially the incoming projectile has a velocity of 1.50 m/s to the right and after the collision we observe that this sphere leaves the collision region with a velocity of 0.60 m/s at an angle of 31° to its initial direction. (Assume that the +x-axis is to the right and the +y-axis is up along the page. Angles are measured counterclockwise from the +x-axis. Do not assume this collision is elastic.) (a) Find the x-component of the velocity of the second sphere. (b) Find the y-component of the velocity of the second sphere.

Explanation / Answer

elastic or not, momentum is conserved
and the masses are the same so they cancel
leaving this vector sum
V1i = V1f + V2f
we must assume that the 31° given is CCW from x-axis
(1.50 , 0 ) = (0.60 cos31 , 0.60 sin31) + (x , y)
(1.50 , 0) = (0.5143 , 0.3090) + (x , y)
(x , y) = (1.50-0.5143 , 0-0.3090 0 = (0.9857 , -0.3090) these are the x and y components of v of 2nd sphere

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.