Answer:
(a) Tension=28.28 N
(b) Speed=29.14 m/s
Explanation:
Given data
f(frequency)=875 vibration/second
λ(wave length)=3.33 cm=0.0333 m
m(mass)=16.3 g=0.0163 kg
To find
(a) Tension
(b) Speed
Solution
For (b) at what speed the wave travel
For (a) Tension
So screw must adjust such that tension in the wire is 28.28 N
Answer:
<h3>a) </h3><h3>
<u>Question</u><u>:</u><u>-</u></h3>
- Rubber is a good conductor of electricity.
<h3>
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>
- <em>I</em><em>t</em><em>'</em><em>s</em><em> </em><em>i</em><em>n</em><em>c</em><em>o</em><em>r</em><em>r</em><em>e</em><em>c</em><em>t</em><em> </em><em>s</em><em>e</em><em>n</em><em>t</em><em>e</em><em>n</em><em>c</em><em>e</em><em>.</em>
- As we know that, rubber are an insulators of electricity, and they do not not have free ions which can help in conducting electricity.
<u>S</u><u>o</u><u> </u><u>c</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u> </u><u>s</u><u>e</u><u>n</u><u>t</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>i</u><u>s</u><u>:</u>
- <em>R</em><em>u</em><em>b</em><em>b</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em> </em><em>b</em><em>a</em><em>d</em><em> </em><em>c</em><em>o</em><em>n</em><em>d</em><em>u</em><em>c</em><em>t</em><em>o</em><em>r</em><em> </em><em>o</em><em>f</em><em> </em><em>e</em><em>l</em><em>e</em><em>c</em><em>t</em><em>r</em><em>i</em><em>c</em><em>i</em><em>t</em><em>y</em><em>.</em>
<h3>b)</h3><h3>
<u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3>
- Electroplating wastes are useful to human health and environment.
<h3>
<u>Answer</u><u>:</u><u>-</u></h3>
- <em>It's</em><em> </em><em>incorrect</em><em> </em><em>sentence</em><em>.</em><em> </em>
- As we know that, electroplating of substances releases harmful and toxic substances into the environment causing serious health issues in human, so it's waste substances released into environment can have very harmful effects.
<u>So correct sentence is:</u>
- <em>Electroplating wastes are </em><em>harmful</em><em> </em><em>to human health and </em><em>environment</em><em>.</em>
<h3>
c)</h3><h3>
<u>Question</u><u>:</u><u>-</u></h3>
- In an LED bulb, the shorter lead is connected to the positive terminal of the battery.
<h3>
<u>Answer</u><u>:</u><u>-</u></h3>
- <em>It's incorrect sentence. </em>
- As we know that, in an LED bulb their are two terminals that is the positive and the negative. So here the lead connected to the positive terminal is always slightly longer than the lead connected to negative terminal of the bulb.
<u>So correct sentence is:</u>
- <em>In an LED bulb, the </em><em>longer</em><em> lead </em><em>i</em><em>s</em><em> </em><em>connected to the positive terminal of the battery.</em>
<h3>
d)</h3><h3>
<u>Question</u><u>:</u><u>-</u></h3>
- Pure water conducts electricity.
<h3>
<u>Answer</u><u>:</u><u>-</u></h3>
- <em>It's incorrect sentence. </em>
- As we know that, pure water is a form of H2O where Hydrogen (H) is positive ion and Oxygen (O) is a negative ion which can conduct electricity when they are in individuals but as in pure water they are in combined form of compound H2O in which they become neutral and can't conduct any electricity.
<u>So correct sentence is:</u>
- <em>P</em><em>ure water </em><em>c</em><em>a</em><em>n</em><em>'</em><em>t</em><em> </em><em>conduct</em><em> </em><em>electricity.</em>
The question is incomplete. The complete question is :
A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass first passes through the equilibrium position, and the position of the mass at any time is described by x = (4.7 cm)sin[(7.9 rad/s)πt].
Determine the following:
(a) frequency of the motion
(b) period of the motion
(c) amplitude of the motion
(d) first time after t = 0 that the object reaches the position x = 2.6 cm
Solution :
Given equation : x = (4.7 cm)sin[(7.9 rad/s)πt].
Comparing it with the general equation of simple harmonic motion,
x = A sin (ωt + Φ)
A = 4.7 cm
ω = 7.9 π
a). Therefore, frequency,
= 3.95 Hz
b). The period,
= 0.253 seconds
c). Amplitude is A = 4.7 cm
d). We have,
x = A sin (ωt + Φ)
Hence, t = 0.0236 seconds.
Answer:
a. How much force is required to lift a box of weight 100 N upwards with a constant acceleration of 6.0 m/s2?
b. How much upwards force is required to lower the same box with a downward acceleration of 3.0 m/s2?
a. As the box weighs 100 N, its mass is 100 N / 9.8 ms-2 = 10.2 kg. To have an upward acceleration of 6.0 m/s2, there must be a net upward force of F =ma = 10.2 kg x 6.0 m/s2 = 61.2 N. The total upward force must be equal have a magnitude to overcome the downward force of gravity and to provide for the upward acceleration Ftotal up = 100 N + 61.2 N = 161.2 N.
b. There must be a net downward force F = ma = 10.2 kg x 3.0 m/s2 = 30.6 N upward. There must be an upward force to counteract the downward force of gravity so that the resultant will be 30.6 N. The equation necessary for this is 100 N - upward force = 30.6 N. Solving for the upward force gives 69.4 N.
Explanation: