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Sergeeva-Olga [200]
3 years ago
11

4. A spring with a mass of 400.0 g is set into simple harmonic motion. The graph of the force of the spring vs. displacement is

shown. The data of the position of the spring vs. time while it is oscillating are also shown.
Graph : https://us-static.z-dn.net/files/d48/07e4a9edd0f61852095576cb0765d951.jpg

Data : t (s) y (m)
0.0 0.00
0.2 0.09
0.4 –0.07
0.6 –0.04
0.8 0.10
1.0 –0.03
1.2 –0.08
1.4 0.09
1.6 0.01
1.8 –0.10
2.0 0.06
2.2 0.05
2.4 –0.10
2.6 0.02
2.8 0.09
3.0 –0.08
3.2 –0.03
3.4 0.10
3.8 –0.07
4.0 0.09

Do the following:
a. Determine the spring constant from the graph.
b. Make a position vs. time graph for the spring’s motion.
c. Determine the amplitude and period of the spring’s motion from your graph.
d. Calculate the period of the spring’s motion using the spring’s period equation.
e. Determine the percent error by comparing the period from the graph (experimental value) to the calculated value (accepted value).

Physics
2 answers:
Fynjy0 [20]3 years ago
5 0
4 percent i think ok because maybe i think is e
Nana76 [90]3 years ago
4 0

Answer:

a) k = 40 N/m

b) See attachment

c) Amp y = 0.1 m , T_a = 0.67 s

d) T_theo = 0.62831

e) RE = 6.63 %

Explanation:

Given:

- mass of the spring m = 0.4 kg

- Displacement - time values

- Force-displacement graph

Find:

a. Determine the spring constant from the graph.

b. Make a position vs. time graph for the spring’s motion.

c. Determine the amplitude and period of the spring’s motion from your graph.

d. Calculate the period of the spring’s motion using the spring’s period equation.

e. Determine the percent error by comparing the period from the graph (experimental value) to the calculated value (accepted value).

Solution:

a)

- Use the Force-displacement graph and pick two points on the line A and B:

                       A = ( 0.006 , 1.78 ) & B = ( 0.083, 4.75 )

- We know from Hook's Law that:

                       y = k*x

                       k = y/x       ------  gradient of the plot will give us the constant k

- So,

                       k = (y_2 - y_1) / (x_2 - x_1)=(4.75-1.78)/(0.083-0.006)=40 N/m

b) See attachment

c) Using the plot of b:

        The maximum amplitude of displacement y = 0.1 m

         The time period of the displacement T_a = 2 s / 3 cycles = 0.67s

d)

- The formula for computing time period is:

                          T_theo = 2*pi*sqrt(m/k)

                          T_theo = 2*pi*sqrt(0.4/40) = 0.62831 s

e)

- Comparing values by computing the relative error:

                          RE = ( T_a - T_theo) / T_theo * 100

                          RE = (0.67 - 0.62831) / 0.62831 * 100 = 6.63 %

- The value obtained is within the 10% tolerance of experimental Error. Hence, we can conclude that the experiment was conducted reasonably.

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Answer:

A force that pushes or pulls is known as Newton's third law of Motion.

Explanation:

Newton's Third Law of Motion. Newton's Third Law of Motion states that for each action, there's an equal and opposite reaction. What this suggests is that pushing on an object causes that object to keep off against you, the precise same amount, but within the other way.

7 0
3 years ago
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Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum th
elena-14-01-66 [18.8K]

The peak magnetic field of the electromagnetic wave in the red part of the visible spectrum is 9.67 x 10⁻¹⁰ T.

<h3>Relationship between electric and magnetic field</h3>

The relationship between electric and magnetic field at a given peak electric field is given as;

c = (E₀) / (B₀)

where;

  • c is speed of light
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B₀ = E₀ / c

B₀ = (2.9) / (3 x 10⁹)

B₀ = 9.67 x 10⁻¹⁰ T

Thus, the peak magnetic field of the electromagnetic wave in the red part of the visible spectrum is 9.67 x 10⁻¹⁰ T.

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8 0
2 years ago
How much work do you do on a 15 N book in lifting it straight up for a distance of<br> 0.40 meters?
astra-53 [7]

Answer:

Work done, W = 6 J

Explanation:

It is given that,

Force of gravity acting on the book, weight of the book is 15 N

We need to find the work done in lifting the book straight up for a distance of  0.4 meters.

The weight of the book is acting in downward direction and the book is lifted straight up, it means angle between them is 180 degrees. Work done is given by :

W=Fd\cos180\\\\W=15\times 0.4\times \cos180\\\\W=-6\ J

So, the magnitude of work done in lifting the book is 6 joules.

7 0
3 years ago
Calculate the percentage of an iceberg submerged beneath the surface of the ocean given that the density of ice is 916.3kg/m3 an
pogonyaev

Answer:

The percentage of an iceberg submerged beneath the surface of the ocean = 89.67%

Explanation:

Let V be the total volume of the iceberg

Let x be the volume of iceberg submerged

According to Archimedes principle,

weight of the iceberg = weight of the water displaced (that is, weight of x volume of water)

Weight of the iceberg = mg= ρ(iceberg) × V × g

Weight of water displaced = ρ(fluid) × x × g

We then have

ρ(iceberg) × V × g = ρ(fluid) × x × g

(x/V) = ρ(iceberg) ÷ ρ(fluid) = 916.3 ÷ 1021.9 = 0.8967 = 89.67%

Hope this Helps!!!!

6 0
3 years ago
PLEASE ANSWER ASAP
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Answer:

2.55sec

Explanation:

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