Question

A block of mass m = 2.00 kg is attached to a spring of force constant k = 600 N/m as shown in the figure below. The block is pulled to a position xi = 5.35 cm to the right of equilibrium and released from rest. (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is ?k = 0.350. m/s

Answer #1

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

. A block of mass 2.00 kg is attached to a horizontal spring
with a force constant of 500 N/m. The spring is stretched 5.00 cm
from its equilibrium position and released from rest. Use
conservation of mechanical energy to determine the speed of the
block as it returns to equilibrium
(a) if the surface is frictionless
(b) if the coefficient of kinetic friction between the block and
the surface is 0.350

A horizontal spring attached to a wall has a force constant of
k = 820 N/m. A block of mass m = 1.20 kg is
attached to the spring and rests on a frictionless, horizontal
surface as in the figure below
(a) The block is pulled to a position xi =
5.40 cm from equilibrium and released. Find the potential energy
stored in the spring when the block is 5.40 cm from
equilibrium.
(b) Find the speed of the block...

A horizontal spring attached to a wall has a force constant of
k = 720 N/m. A block of mass m = 1.90 kg is
attached to the spring and rests on a frictionless, horizontal
surface as in the figure below.
(a) The block is pulled to a position xi = 6.20
cm from equilibrium and released. Find the potential energy stored
in the spring when the block is 6.20 cm from equilibrium.
(b) Find the speed of the block...

A block of mass m = 0.79 kg is attached to a spring with force
constant 123.0 N/m. The block is free to move on a frictionless,
horizontal surface as shown in the figure. The block is released
from rest after the spring is stretched a distance A = 0.10 m to
the right. What is the potential energy of the spring/block system
0.25 s after releasing the block?

A horizontal spring attached to a wall has a force constant of
760 N/m. A block of mass 1.30 kg is attached to the spring and
oscillates freely on a horizontal, frictionless surface as in the
figure below. The initial goal of this problem is to find the
velocity at the equilibrium point after the block is released.
(c) Find the energy stored in the spring when the mass is
stretched 5.80 cm from equilibrium and again when the mass...

A block with mass 0.382 kg is attached to a horizontal spring
with spring constant k = 1.28 N/m on a frictionless surface. The
block is pulled 0.753 m from equilibrium and released. (a) What is
the amplitude of the block's motion? (b) What is its period? (c)
How long after release does the block take to first return to its
equilibrium position? (d) What is its speed at that position? {b.
3.43 s, d. 1.38 m/s}
a) A=0.753m
b)...

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

A 0.58 kg mass is attached to a light spring with a force
constant of 31.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
m/s...

A 0.68 kg mass is attached to a light spring with a force
constant of 36.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...

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