Find the rate of work done by spring on the block at point z. Express your answer in terms of the variables a, m, z1, and the acceleration due to gravity g. g of negligible mass that does not obey Hooke's law. When the d by a distance z, the spring exerts an upward force of magnitude ve constant. Initially the hanging spring is relaxed (not extended). f mass m to the spring and release the block. The block stretches re 1). (a) How fast is the block moving when it has fallen a rate does the spring do work on the block at this point? (c) Find 2 that the spring stretches. (d) Will the block remain at the point > View Available Hint(s) VO AE Submit Part G Find the maximum distance zz that the spring stretches. Express your answer in terms of the variables a, m, and the acceleration due to gravity g. • View Available Hint(s) < 1 of 1> Submit attached Part H f relaxed then released. Find the z-component of the net force that acts on the block when it is at z2. Express your answer in terms of the variable m and the acceleration due to gravity g. > View Available Hint(s) Positive x is downward. ?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Find the rate of work done by spring on the block at point x1
Express your answer in terms of the variables a, m, x1, and the acceleration due to gravity g.
Consider a hanging spring of negligible mass that does not obey Hooke's law. When the
spring is pulled downward by a distance a, the spring exerts an upward force of magnitude
ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended).
We then attach a block of mass m to the spring and release the block. The block stretches
the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen
distance a ? (b) At what rate does the spring do work on the block at this point? (c) Find
the maximum distance rz that the spring stretches. (d) Will the block remain at the point
found in part (c)?
• View Available Hint(s)
R =
Submit
Part G
Find the maximum distance x2 that the spring stretches.
Express your answer in terms of the variables a, m, and the acceleration due to gravity g.
• View Available Hint(s)
Vo AEO
22 =
Figure
< 1 of 1 >
Submit
Block is attached
Part H
to end of relaxed
spring, then released.
Find the x-component of the net force that acts on the block when it is at 2
m
Express your answer in terms of the variable m and the acceleration due to gravity g.
• View Available Hint(s)
Positive x is
downward.
?
wwww
Transcribed Image Text:Find the rate of work done by spring on the block at point x1 Express your answer in terms of the variables a, m, x1, and the acceleration due to gravity g. Consider a hanging spring of negligible mass that does not obey Hooke's law. When the spring is pulled downward by a distance a, the spring exerts an upward force of magnitude ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended). We then attach a block of mass m to the spring and release the block. The block stretches the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen distance a ? (b) At what rate does the spring do work on the block at this point? (c) Find the maximum distance rz that the spring stretches. (d) Will the block remain at the point found in part (c)? • View Available Hint(s) R = Submit Part G Find the maximum distance x2 that the spring stretches. Express your answer in terms of the variables a, m, and the acceleration due to gravity g. • View Available Hint(s) Vo AEO 22 = Figure < 1 of 1 > Submit Block is attached Part H to end of relaxed spring, then released. Find the x-component of the net force that acts on the block when it is at 2 m Express your answer in terms of the variable m and the acceleration due to gravity g. • View Available Hint(s) Positive x is downward. ? wwww
I Review | Constants
Calculate the work done on the block by the spring as the block falls an arbitrary distance z.
Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed.
Consider a hanging spring of negligible mass that does not obey Hooke's law. When the
spring is pulled downward by a distance r, the spring exerts an upward force of magnitude
ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended).
We then attach a block of mass m to the spring and release the block. The block stretches
the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen a
distance z, ? (b) At what rate does the spring do work on the block at this point? (c) Find
• View Available Hint(s)
the maximum distance rz that the spring stretches. (d) Will the block remain at the point
found in part (c)?
W.
Vspring =
Submit
Part D
Calculate the work done on the block by any other forces as the block falls an arbitrary distance x.
Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed.
• View Available Hint(s)
ΑΣφ
Wother =
Figure
<) 1 of 1 >
Submit
Block is attached
Part E
to end of relaxed
spring, then released.
Find the speed of the block when it has fallen a distance r1.
m
Express your answer in terms of the variables a, m, x1, and the acceleration due to gravity g.
• View Available Hint(s)
Positive x is
downward.
ΠV ΑΣφ
Transcribed Image Text:I Review | Constants Calculate the work done on the block by the spring as the block falls an arbitrary distance z. Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed. Consider a hanging spring of negligible mass that does not obey Hooke's law. When the spring is pulled downward by a distance r, the spring exerts an upward force of magnitude ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended). We then attach a block of mass m to the spring and release the block. The block stretches the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen a distance z, ? (b) At what rate does the spring do work on the block at this point? (c) Find • View Available Hint(s) the maximum distance rz that the spring stretches. (d) Will the block remain at the point found in part (c)? W. Vspring = Submit Part D Calculate the work done on the block by any other forces as the block falls an arbitrary distance x. Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed. • View Available Hint(s) ΑΣφ Wother = Figure <) 1 of 1 > Submit Block is attached Part E to end of relaxed spring, then released. Find the speed of the block when it has fallen a distance r1. m Express your answer in terms of the variables a, m, x1, and the acceleration due to gravity g. • View Available Hint(s) Positive x is downward. ΠV ΑΣφ
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