An object of mass 2 kg collides with an object of mass 1 kg that is at rest, as shown in the figure. A graph of the force as a function of time that the 1 kg object exerts on the 2 kg object is shown. After the collision, the 2 kg object has a speed of 2 , and the 1 kg object has a speed of 8 A student must determine the initial speed v of the 2 kg object. Which of the following options shows the correct substitutions into the equation Ap²= FÅt so that the initial speed of the unknown object can be determined?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter11: Collisions
Section: Chapter Questions
Problem 81PQ
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+y
1 kg
2 kg
10,000
8000
2 6000
4000
2000
0.0010
0.0015
0.0020
0.0025
t (s)
An object of mass 2 kg collides with an object of mass
1 kg that is at rest, as shown in the figure. A graph of the
force as a function of time that the 1 kg object exerts on
the 2 kg object is shown. After the collision, the 2 kg object
has a speed of 2 , and the 1 kg object has a speed of 8 .
A student must determine the initial speed vo of the 2 kg
object. Which of the following options shows the correct
substitutions into the equation Ap³= FÅt so that the initial
speed of the unknown object can be determined?
(2 kg)(2 m – vo) = (8000 N)(0.00125 s), because
the maximum force exerted on the 2 kg object must be
considered.
(2 kg)(2 – vo) = } (8000 N)(0.00125 s), because
the average force exerted on the 2 kg object must be
considered.
(2 kg – 1 kg)(2 -vo) = (8000 N)(0.00125 s),
because the difference in mass and the maximum force
exerted on the 2 kg object must be considered.
(2 kg – 1 kg)(2 m/s – vo) = }(8000 N)(0.00125 s)
(D
,because the difference in mass and the average force
exerted on the 2 kg object must be considered.
Transcribed Image Text:+y 1 kg 2 kg 10,000 8000 2 6000 4000 2000 0.0010 0.0015 0.0020 0.0025 t (s) An object of mass 2 kg collides with an object of mass 1 kg that is at rest, as shown in the figure. A graph of the force as a function of time that the 1 kg object exerts on the 2 kg object is shown. After the collision, the 2 kg object has a speed of 2 , and the 1 kg object has a speed of 8 . A student must determine the initial speed vo of the 2 kg object. Which of the following options shows the correct substitutions into the equation Ap³= FÅt so that the initial speed of the unknown object can be determined? (2 kg)(2 m – vo) = (8000 N)(0.00125 s), because the maximum force exerted on the 2 kg object must be considered. (2 kg)(2 – vo) = } (8000 N)(0.00125 s), because the average force exerted on the 2 kg object must be considered. (2 kg – 1 kg)(2 -vo) = (8000 N)(0.00125 s), because the difference in mass and the maximum force exerted on the 2 kg object must be considered. (2 kg – 1 kg)(2 m/s – vo) = }(8000 N)(0.00125 s) (D ,because the difference in mass and the average force exerted on the 2 kg object must be considered.
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