Question

A block with mass m = 4.3 kg is attached to two springs with spring constants klef t = 35 N/m and kright = 48 N/m. The block is pulled a distance x = 0.23 m to the left of its equilibrium position and released from rest. (a) What is the magnitude of the net force on the block at the moment it is released? (2pt) (b) What is the period of oscillation of the block? (1pt) (c) How long does it take the block to return to equilibrium for the first time? (1pt) (d) What is the speed of the block as it passes through the equilibrium position? (1pt) (e) What is the magnitude of the acceleration of the block as it passes through equilibrium? (1pt) (f) Where is the block located, relative to equilibrium, at a time 0.86 s after it is released? (If the block is left of equilibrium, give the answer as a negative value; if the block is right of equilibrium, give the answer as a positive value.) (2pt) (g) What is the net force on the block at this time 0.86 s? (1pt) (h) What is the total energy stored in the system? (1pt)

Answer #1

A block with mass m = 4.2 kg is attached to two springs with
spring constants kleft = 34 N/m and kright =
57 N/m. The block is pulled a distance x = 0.22 m to the left of
its equilibrium position and released from rest.
What is the magnitude of the net force on the block (the moment
it is released)?
What is the effective spring constant of the two springs?
N/m
What is the period of oscillation of...

A block with mass m = 4.6 kg is attached to two springs with
spring constants kleft = 37 N/m and kright = 51 N/m. The block is
pulled a distance x = 0.27 m to the left of its equilibrium
position and released from rest.
What is the magnitude of the net force on the block (the moment
it is released)?
What is the effective spring constant of the two springs?
What is the period of oscillation of the...

A block with mass m = 4.9 kg is attached to two springs with
spring constants kleft = 30 N/m and kright =
55 N/m. The block is pulled a distance x = 0.22 m to the left of
its equilibrium position and released from rest.
1)
What is the magnitude of the net force on the block (the moment
it is released)?
2)
What is the effective spring constant of the two springs?
3)
What is the period of...

A block with mass m = 5.7 kg is attached to two springs with
spring constants kleft = 36 N/m and kright =
53 N/m. The block is pulled a distance x = 0.22 m to the left of
its equilibrium position and released from rest.
1)
What is the magnitude of the net force on the block (the moment
it is released)?
N
2)
What is the effective spring constant of the two springs?
N/m
3)
What is the...

A block with mass m = 6.8 kg is attached to two springs with
spring constants kleft = 36 N/m and kright =
56 N/m. The block is pulled a distance x = 0.28 m to the left of
its equilibrium position and released from rest.
1)
What is the magnitude of the net force on the block (the moment
it is released)?
N
2)
What is the effective spring constant of the two springs?
N/m
3)
What is the...

A block with mass m = 7.3 kg is attached to two springs with
spring constants kleft = 30 N/m and kright =
52 N/m. The block is pulled a distance x = 0.25 m to the left of
its equilibrium position and released from rest.
Where is the block located, relative to equilibrium, at a time
1.03 s after it is released? (if the block is left of equilibrium
give the answer as a negative value; if the block...

A block with mass m = 7.4 kg is attached to two springs with
spring constants kleft = 31 N/m and kright = 53 N/m. The block is
pulled a distance x = 0.27 m to the left of its equilibrium
position and released from rest.
7)
Where is the block located, relative to equilibrium, at a time
1.06 s after it is released? (if the block is left of equilibrium
give the answer as a negative value; if the...

A block with mass m = 6.3 kg is attached to two springs
with spring constants kleft = 32 N/m and
kright = 51 N/m. The block is pulled a distance x = 0.22
m to the left of its equilibrium position and released from
rest.
1. Where is the block located, relative to equilibrium, at a
time 1.07 s after it is released? (if the block is left of
equilibrium give the answer as a negative value; if the...

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...

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...

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