PHY 2048-004: General Physics for EG 1 Karen& urse Home CHW 7: Momentum Exercise

Question

PHY 2048-004: General Physics for EG 1 Karen& urse Home CHW 7: Momentum Exercise 8.50 13 of 20 1 Constants Part A You are at the sending a beam of 3.60x10 m/s protons (mass m ) at a gas target of an unknown element. Your Find the mass of one nucleus of the unknown element. Express your answer in terms of the proton mass m straight back after a collision with one of the nuclei of the unknown element. All such protons rebound with a speed of 3.30x10 m/s. Assume that the initial speed of the target nucleus is negligible and Part B What is the speed of the unknown nucleus blemID-103360239

Explanation / Answer

As the collision is elastic, momentum and energy both are conserved

momentum

m1u1 + m2u2 = m1v1 + m2v2

m(3.6 x 10^7) + 0 = m(-3.3x10^7) + m2v2 ... as it bounces back

m2v2 = m(6.9 x 10^7) ...i

energy

1/2 m1u1^2 + 1/2 m2u2^2 = 1/2m1v1^2 + 1/2m2v2^2

m(3.6 x 10^7)^2 + 0 = m(3.3x10^7)2 + m2v2^2

m2v2^2 = m x 2.07 x 10^14 ... ii

dividing ii by i

v2 = 2.07 x 10^14 / (6.9 x 10^7)

= 3 x 10^6m/s .... answer B

put in i

m2 x 3 x 10^6 = m x 6.9 x 10^7

m2 = 23m ..... answer A

upvote if it helps

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