An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 400 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless (there is friction on the incline surface). A 2.0 m 30 Image Description A block is shown at the top of a downward sloping ramp. The ramp makes an angle of 30 degrees with the horizontal. The block is a vertical distance of 2.0 meters above the ground. To the right of the ramp, on the horizontal ground, is a horizontal spring. The far end of the spring is attached to a wall.

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An object of mass 9.5 kg is released at point A,
slides to the bottom of the 30° incline, then
collides with a horizontal massless spring,
compressing it a maximum distance of 0.75 m.
The spring constant is 400 N/m, the height of the
incline is 2.0 m, and the horizontal surface is
frictionless (there is friction on the incline
surface).
2.0 m
30
Image Description
A block is shown at the top of a downward sloping
ramp. The ramp makes an angle of 30 degrees with the
horizontal. The block is a vertical distance of 2.0
meters above the ground. To the right of the ramp, on
the horizontal ground, is a horizontal spring. The far
end of the spring is attached to a wall.
a. What is the speed of the object at the
bottom of the incline?
v = 4.866 m/s
b. How much work does friction do on the
object while it is sliding down the incline?
W; =
c. Suppose that after the spring compresses,
it recoils and sends the object back toward
the incline. What is the speed of the object
just as it reaches the base of the incline?
v =
m/s
d. What vertical distance does it move back
up the incline?
h
m
%3D
Transcribed Image Text:An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 400 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless (there is friction on the incline surface). 2.0 m 30 Image Description A block is shown at the top of a downward sloping ramp. The ramp makes an angle of 30 degrees with the horizontal. The block is a vertical distance of 2.0 meters above the ground. To the right of the ramp, on the horizontal ground, is a horizontal spring. The far end of the spring is attached to a wall. a. What is the speed of the object at the bottom of the incline? v = 4.866 m/s b. How much work does friction do on the object while it is sliding down the incline? W; = c. Suppose that after the spring compresses, it recoils and sends the object back toward the incline. What is the speed of the object just as it reaches the base of the incline? v = m/s d. What vertical distance does it move back up the incline? h m %3D
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