Two objects of masses m and 7m are moving toward each other along the x-axis with the same initial speed v0 = 455 m/s.The object with mass m is traveling to the left, and the object with mass 7m is traveling to the right. They undergo an elastic glancing collision such that m is moving downward after the collision at a right angle from its initial direction. (a) Find the final speeds of the two objects. m = ______ m/s 7m = _________ m/s(b) What is the angle θ at which the object with mass 7m is scattered? _________° counterclockwise from the +x-axis

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Asked Oct 26, 2019
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Two objects of masses m and 7m are moving toward each other along the x-axis with the same initial speed
v0 = 455 m/s.
The object with mass m is traveling to the left, and the object with mass 7m is traveling to the right. They undergo an elastic glancing collision such that m is moving downward after the collision at a right angle from its initial direction.
(a) Find the final speeds of the two objects.
m = ______ m/s
7m = _________ m/s

(b) What is the angle θ at which the object with mass 7m is scattered?
_________° counterclockwise from the +x-axis

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Expert Answer

Step 1

In an elastic sollision, the energy as well as the momentum is conserved.

Using the conservation of momentum along the x axis is

(7m)v2 +(m)-m, +(7m)v
(7m)v2m(7m)v
6
2x
=D의(455m/s)
390m/s
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(7m)v2 +(m)-m, +(7m)v (7m)v2m(7m)v 6 2x =D의(455m/s) 390m/s

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Step 2

Using the conservation of momentum along the y axis is

mV(7m) = 0
13=712
[2]
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mV(7m) = 0 13=712 [2]

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Step 3

Using the energy consrvation in...

(KE), = (KE),
[3]
(7m()m7m)
(7,
[4
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Image Transcriptionclose

(KE), = (KE), [3] (7m()m7m) (7, [4

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