7.75. A 0,500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless, horizontal air table (Fig. P7.75). The mass of the spring is negligible. You move the block to the right along the surface by pulling with a constant 20.0-N horizontal force. (a) What is the block's speed when the back of the block reaches point B, which is 0.25 m to the right of point A? (b) When the back of the block reaches point B, you let go of the block. In the subsequent motion, how close does the block get to the wall where the left end of the spring is attached? A wooden block with mass 1.30 kg is placed against a com- pressed spring at the bottom of an incline of slope 30.0 (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 6.00m up the incline from A, the block is moving up the incline at 7.00 m/s and is no longer in cotact with the spring. The coefficient of kinetic friction between the block and the incline is H - 0.50. The mass of the spring is negligible. Calculate the amount of potential energy that was initially stored in the spring. (119 J) Figure P7.75 -0.500 kg k- 40.0 N/m F-20.0N 0.60 m- X-0 So => 6lock So.10m Anergy B [(a) 3.87 m/s, (b) 0.10 m) done

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7.75 A 0.500-kg block, attached to a spring with length 0.60 m
and force constant 40.0 N/m, is at rest with the back of the block
at point A on a frictionless, horizontal air table (Fig. P7.75). The
mass of the spring is negligible. You move the block to the right
along the surface by pulling with a constant 20.0-N horizontal
force. (a) What is the block's speed when the back of the block
reaches point B, which is 0.25 m to the right of point A? (b) When
the back of the block reaches point B, you let go of the block. In
the subsequent motion, how close does the block get to the wall
where the left end of the spring is attached?
7.81 . A wooden block with mass 1.50 kg is placed against a com-
pressed spring at the bottom of an incline of slope 30.0° (point A).
When the spring is released, it projects the block up the incline. At
point B, a distance of 6.00 m up the incline from A, the block is
moving up the incline at 7.00 m/s and is no longer in contact with
the spring. The coefficient of kinetic friction between the block
and the incline is uy = 0.50. The mass of the spring is negligible.
Calculate the amount of potential energy that was initially stored
in the spring.
Figure P7.75
[119 J]
V=0
m = 0.500 kg
k = 40.0 N/m
F = 20.0 N
0.60 m
0.25 m->
B
X-0 50 => 6lock iso.l0m
Trom
[(a) 3.87 m/s, (b) 0.10 m]
wa l1
Energy at A t work done =
by Frictien
Energy B
Transcribed Image Text:7.75 A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless, horizontal air table (Fig. P7.75). The mass of the spring is negligible. You move the block to the right along the surface by pulling with a constant 20.0-N horizontal force. (a) What is the block's speed when the back of the block reaches point B, which is 0.25 m to the right of point A? (b) When the back of the block reaches point B, you let go of the block. In the subsequent motion, how close does the block get to the wall where the left end of the spring is attached? 7.81 . A wooden block with mass 1.50 kg is placed against a com- pressed spring at the bottom of an incline of slope 30.0° (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 6.00 m up the incline from A, the block is moving up the incline at 7.00 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and the incline is uy = 0.50. The mass of the spring is negligible. Calculate the amount of potential energy that was initially stored in the spring. Figure P7.75 [119 J] V=0 m = 0.500 kg k = 40.0 N/m F = 20.0 N 0.60 m 0.25 m-> B X-0 50 => 6lock iso.l0m Trom [(a) 3.87 m/s, (b) 0.10 m] wa l1 Energy at A t work done = by Frictien Energy B
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