Find the initial speed of a block before it hits a spring

In summary, the homework statement states that homework equations W = ΔKE find work done by spring. TheAttempt at a Solution found work done by spring using the following equation: -1.3 = ΔKE - 1.3 = KEFINAL - KEINITIAL - 1.3 = .5(0.25)(VFINAL2) - .5(0.25)(VINITIAL2). VINITIAL = 3.22m/s.
  • #1
isukatphysics69
453
8

Homework Statement


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Homework Equations


W =ΔKE

The Attempt at a Solution


found work done by spring
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-1.3 =ΔKE
-1.3 = KEFINAL - KEINITIAL
-1.3 = .5(0.25)(VFINAL2) - .5(0.25)(VINITIAL2)

Since v final is 0 since it stops momenteraly at the bottom of the spring
-1.3 = - .5(0.25)(VINITIAL2)
sqrt((-1.3/-.125)) = VINITIAL
VINITIAL = 3.22m/s
 

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  • #2
isukatphysics69 said:

Homework Statement


View attachment 224911
View attachment 224915

Homework Equations


W =ΔKE

The Attempt at a Solution


found work done by spring
View attachment 224913-1.3 =ΔKE
-1.3 = KEFINAL - KEINITIAL
-1.3 = .5(0.25)(VFINAL2) - .5(0.25)(VINITIAL2)

Since v final is 0 since it stops momenteraly at the bottom of the spring
-1.3 = - .5(0.25)(VINITIAL2)
sqrt((-1.3/-.125)) = VINITIAL
VINITIAL = 3.22m/s
I assume you want to know why the answer to question 3 is incorrect.
I see you have answered the work question with a precision of 2 significant digits. Then you used it to calculate speed at a precision of 3 significant digits.
 
  • #3
I don't think that is the problem here, i think i am doing something wrong with the calculation logic here
 
  • #4
-1.26 =ΔKE
-1.26 = KEFINAL - KEINITIAL
-1.26 = .5(0.25)(VFINAL2) - .5(0.25)(VINITIAL2)

Since v final is 0 since it stops momenteraly at the bottom of the spring
-1.26 = - .5(0.25)(VINITIAL2)
sqrt((-1.26/-.125)) = VINITIAL
VINITIAL = 3.17m/susing the unrounded answer, still incorrect
 
  • #5
So i was using the value of work for the spring on the block to find the initial velocity of the block, i am not sure if that is correct
 
  • #6
isukatphysics69 said:
-1.26 =ΔKE
-1.26 = KEFINAL - KEINITIAL
-1.26 = .5(0.25)(VFINAL2) - .5(0.25)(VINITIAL2)

Since v final is 0 since it stops momenteraly at the bottom of the spring
-1.26 = - .5(0.25)(VINITIAL2)
sqrt((-1.26/-.125)) = VINITIAL
VINITIAL = 3.17m/susing the unrounded answer, still incorrect
Yes, but you have given too many significant digits in the answer.
 
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  • #7
isukatphysics69 said:
So i was using the value of work for the spring on the block to find the initial velocity of the block, i am not sure if that is correct
It looks right to me. I got the same answer independently.
 
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  • #8
tnich said:
It looks right to me. I got the same answer independently.
i just tried 3.2m/s incorrect
 
  • #9
isukatphysics69 said:
i just tried 3.2m/s incorrect
I think we forgot about gravitational potential energy.
 
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  • #10
tnich said:
I think we forgot about gravitational potential energy.
my book says ΔKE = KFINAL - KINITIAL = WA+WG
since energy is conserved isn't WA = -WG
 
  • #11
isukatphysics69 said:
my book says ΔKE = KFINAL - KINITIAL = WA+WG
since energy is conserved isn't WA = -WG
I don't know what WA and WG represent.
Total energy (kinetic + potential) is conserved. There is definitely a change in gravitational potential energy between the point at which the block hits the spring and the point at which it bottoms out.
 
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  • #12
tnich said:
I don't know what WA and WG represent.
Total energy (kinetic + potential) is conserved. There is definitely a change in gravitational potential energy between the point at which the block hits the spring and the point at which it bottoms out.
youre right
 
  • #13
i remember from class last week prof was talking about potential energy.
 
  • #14
tnich said:
I don't know what WA and WG represent.
Total energy (kinetic + potential) is conserved. There is definitely a change in gravitational potential energy between the point at which the block hits the spring and the point at which it bottoms out.
So you need to add up the potential energy (due to gravity and the spring) and kinetic energy. Do this at both the point where the block hits the spring and where it bottoms out.
Also, think about the appropriate sign for the potential energy of the spring in this equation.
 
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  • #15
So then i think the gravity force has to be integrated from initial to bottom
 
  • #16
wait i already have the work that gravity did while spring is compressed
 
  • #17
it was 0.29J
 
  • #18
omg i am an idiot
 
  • #19
isukatphysics69 said:
it was 0.29J
OK, you have all of the pieces. Now you need to write your conservation of energy equation.
 
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  • #20
ok the answer is 2.8 m/s
 
  • #21
isukatphysics69 said:
ok the answer is 2.8 m/s
Yes. That's what I got, too.
 
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  • #22
thank you i completely forgot about potential energy
 

Related to Find the initial speed of a block before it hits a spring

1. What is the equation used to find the initial speed of a block before it hits a spring?

The equation used to find the initial speed of a block before it hits a spring is v = √(kx2/m), where v is the initial speed, k is the spring constant, x is the distance the spring is compressed, and m is the mass of the block.

2. How do you measure the distance the spring is compressed?

The distance the spring is compressed can be measured by using a ruler or a measuring tape to determine the difference in length between the spring when it is at rest and when it is compressed by the block.

3. What is the significance of the mass of the block in finding the initial speed?

The mass of the block is significant because it affects the amount of potential energy stored in the spring. This potential energy is converted into kinetic energy as the block is released, determining the initial speed of the block.

4. Can this equation be used for any type of spring or only specific ones?

This equation can be used for any type of spring as long as the spring constant and distance the spring is compressed are known. However, it is important to note that this equation assumes the spring is linear and obeys Hooke's law.

5. What other factors may affect the initial speed of the block before it hits a spring?

Other factors that may affect the initial speed of the block before it hits a spring include air resistance, friction between the block and the surface it is sliding on, and the angle at which the block is released. These factors may cause the initial speed to be slightly different from the calculated value using the given equation.

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