Question

A block with mass m = 4.9 kg is attached to two springs with
spring constants k_{left} = 30 N/m and k_{right} =
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 oscillation of the block?

4)

How long does it take the block to return to equilibrium for the first time?

5)

What is the speed of the block as it passes through the equilibrium position?

6)

What is the magnitude of the acceleration of the block as it passes through equilibrium?

7)

Where is the block located, relative to equilibrium, at a time 0.98 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)

8)

What is the net force on the block at this time 0.98 s? (a negative force is to the left; a positive force is to the right)

9)

What is the total energy stored in the system?

10)

If the block had been given an initial push, how would the period of oscillation change?

the period would increase

the period would decrease

the period would not change

Answer #1

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 = 4.2 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 = 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 = 6.3 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 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...

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 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 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 200.g block on a horizontal, frictionless surface is located
between two unstrained springs. The spring on the left of the block
has a spring constant of 35N/m and the spring on the right has a
constant of 85N/m. a) How much work must be done by an external
force to displace the block 3.0cm to the left? b) If the block is
released from the above position, how fast will the block be moving
when it returns to the...

A 3.70 kg mass is attached to a spring with a spring constant of
4.06 N/m
. It is initially
lifted away from its equilibrium position by 0.200 m in the
positive direction and
released from rest.
A)
What is the angular frequency for this oscillator?
B)
What is the time period for one oscillation for this
oscillator?
C)
Draw out the motion of the oscillator on the graph at the top of
the page. (
D)
What is the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 1 minute ago

asked 4 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 10 minutes ago