Question

he block in the figure lies on a horizontal frictionless surface, and the spring constant is 50 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 4.0 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops. When that stopping point is reached, what are (a) the position of the block, (b) the work that has been done on the block by the applied force, and (c) the work that has been done on the block by the spring force? During the block's displacement, what are (d) the block's position when its kinetic energy is maximum and (e) the value of that maximum kinetic energy?

Answer #1

A horizontal block-spring system with the block on a
frictionless surface has total mechanical energy E = 54.5
J and a maximum displacement from equilibrium of 0.285 m.
(a) What is the spring constant?
N/m
(b) What is the kinetic energy of the system at the equilibrium
point?
J
(c) If the maximum speed of the block is 3.45 m/s, what is its
mass?
kg
(d) What is the speed of the block when its displacement is 0.160
m?
m/s...

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(c) If the maximum speed of the block is 3.06 m/s, what is its
mass?
37.27 kg
61.19 kg
35.49 kg
17.75 kg
(d) What is the speed of the block when its displacement is 0.17
m?
(e) Find the kinetic energy of the block at x = 0.17 m.
(f) Find...

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A horizontal block-spring system with the block on a
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(a) What is the spring constant? ___N/m
(b) What is the kinetic energy of the system at the equilibrium
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(c) If the maximum speed of the block is 3.45 m/s, what is its
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(d) What is the speed of the block when its displacement is
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1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
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In the figure, a 4.3 kg block is accelerated from rest by a
compressed spring of spring constant 620 N/m. The block leaves the
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μk = 0.284. The frictional force stops the
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A 0.400kg0.400kg block is initially at rest on a
horizontal surface, and is attached to an initially unstreteched
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kinetic friction between the block and the surface is 0.4000.400. A
constant force of 2.30N2.30N to the right is applied to the
block.
(A) Draw a free body diagram showing all forces on the block as
it moves to the right.
Determine
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and
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A 0.400kg0.400kg block is initially at rest on a
horizontal surface, and is attached to an initially unstreteched
spring with a force constant of 2.00N/m2.00N/m. The coefficient of
kinetic friction between the block and the surface is 0.4000.400. A
constant force of 2.30N2.30N to the right is applied to the
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(A) Draw a free body diagram showing all forces on the block as
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Determine
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A 100 g block is dropped onto a relaxed vertical spring that has
a spring constant of k = 3.6 N/cm (see the figure). The block
becomes attached to the spring and compresses the spring 18 cm
before momentarily stopping. While the spring is being compressed,
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