Question
Asked Nov 15, 2019
20 views
A spring has a force constant of 18.9 N/m and a rest length of 0.35 m.The spring is stretched to a length of 1.2 m and attached to a mass of 0.45 kg. When the spring is released, what is the speed of the mass when the spring has contracted to 0.70 m long?
check_circle

Expert Answer

Step 1

The change in potential energy of the spring must be equal to the kinetic energy gained by the mass when it is released. This can be expressed as

help_outline

Image Transcriptionclose

Here, k is the force constant of the spring, is the initial change in length of the spring from its rest length, x, is the final change in length of the spring from its rest length, m is the mass and v is the speed of the mass. The value of x is x =1.2 m 0.35 m 0.85 m The value of x, is x, = 0.70 m -0.35 m = 0.35 m

fullscreen
Step 2

Substitute the values in equ...

help_outline

Image Transcriptionclose

18.9 N/m) (0.85 m-(0.35 m))=(0.45 kg)v 5.67 J 0.225v2 5.67 J 1= 0.225 = 5.02 m/s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: An organ pipe that’s closed at one end has a length of 17cm. If the speed of sound through the air i...

A: Wavelength for an organ pipe with one end closed is given by

question_answer

Q: A bowling ball of mass 4.94 kg travels to the right at 13.7 m/s and collides head-on with larger 6.7...

A: Let the mass of the smaller ball be denoted as m1 and that of the larger ball by m2.In a similar way...

question_answer

Q: How do I solve these? can you show steps?

A: Given that the Alex run’s horizontally off the cliff, so the signs of the x-component and y-componen...

question_answer

Q: Suppose we would like the landing speed of block 2 to be increased to 1.64 m/s. Find the required co...

A: Click to see the answer

question_answer

Q: A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not neces...

A: Use kirchhoff’s junction law at node f and find the current I1.

question_answer

Q: The see-saws below have boxes placed on them that all weigh the same amount. The tick marks are even...

A: (A)  The below figure represents a see saw having boxes on top of them .

question_answer

Q: Suppose ε = 10.0 V , R1 = 190 Ω , and R2 = 310 Ω . (Figure 1 attached) Please help me to conceptuali...

A: We know:

question_answer

Q: A potter's wheel moves uniformly from rest to an angular velocity of 1.00 rev/s in 30.0 s. (a) Find ...

A: (a)A potter’s wheel moves uniformly from rest to angular speed w=1.00 rev/s

question_answer

Q: A gardener feels it is taking too long to water a garden with a 0.35-in.-diameter hose. By what fact...

A: The volume flow rate (Q)