2. In an experiment, a small incident box of mass m is released from rest at the top of a frictionless ramp of height, h. When it reaches the bottom of the ramp, the incident box slides across a frictionless tabletop and collides with a large target box of mass M, initially at rest. Assume the two boxes remain separate after the collision. (a) i. Derive an equation for the speed, vo, of the small incident box when it reaches the bottom of the ramp but before it collides with the large box. ii. Derive an equation for the speed of the large target box after it collides with the small box and separates, but before it leaves the tabletop. (b) After the collision, one or more of the boxes will be projected horizontally off of the ramp, striking the ground a horizontal distance x from the edge of the ramp. The initial position of the boxes may be switched, so that the large box becomes the incident box, and the small box is the target box. Sticky tape may be added to the sides of the boxes so that they stick together after the collision. A student wishes to set up the collision in order to maximize the horizontal distance, x. In a clear, coherent, paragraph-length response that may also contain figures and/or equations, clearly explain which box should be the incident, which should be the target, and whether or not the tape should be used.

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3.6 m
M
30
Prendice Hl n
2. In an experiment, a small incident box of mass m is released from rest at
the top of a frictionless ramp of height, h. When it reaches the bottom of
the ramp, the incident box slides across a frictionless tabletop and collides
with a large target box of mass M, initially at rest. Assume the two boxes
remain separate after the collision.
(a) i. Derive an equation for the speed, v, of the small incident box when
it reaches the bottom of the ramp but before it collides with the large box.
ii. Derive an equation for the speed of the large target box after it collides
with the small box and separates, but before it leaves the tabletop.
(b) After the collision, one or more of the boxes will be projected
horizontally off of the ramp, striking the ground a horizontal distance x
from the edge of the ramp. The initial position of the boxes may be
switched, so that the large box becomes the incident box, and the small
box is the target box. Sticky tape may be added to the sides of the boxes so
that they stick together after the collision. A student wishes to set up the
collision in order to maximize the horizontal distance, x. In a clear,
coherent, paragraph-length response that may also contain figures and/or
equations, clearly explain which box should be the incident, which should
be the target, and whether or not the tape should be used.
A Answer the Question
B Basic Physics
C| Cite Information
D Draw it all together
Transcribed Image Text:3.6 m M 30 Prendice Hl n 2. In an experiment, a small incident box of mass m is released from rest at the top of a frictionless ramp of height, h. When it reaches the bottom of the ramp, the incident box slides across a frictionless tabletop and collides with a large target box of mass M, initially at rest. Assume the two boxes remain separate after the collision. (a) i. Derive an equation for the speed, v, of the small incident box when it reaches the bottom of the ramp but before it collides with the large box. ii. Derive an equation for the speed of the large target box after it collides with the small box and separates, but before it leaves the tabletop. (b) After the collision, one or more of the boxes will be projected horizontally off of the ramp, striking the ground a horizontal distance x from the edge of the ramp. The initial position of the boxes may be switched, so that the large box becomes the incident box, and the small box is the target box. Sticky tape may be added to the sides of the boxes so that they stick together after the collision. A student wishes to set up the collision in order to maximize the horizontal distance, x. In a clear, coherent, paragraph-length response that may also contain figures and/or equations, clearly explain which box should be the incident, which should be the target, and whether or not the tape should be used. A Answer the Question B Basic Physics C| Cite Information D Draw it all together
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