Answer:
Explanation:
Given
mass of bus along with travelers travelling in North direction is ![m_1=1.6\times 10^4 kg](https://tex.z-dn.net/?f=m_1%3D1.6%5Ctimes%2010%5E4%20kg)
speed of bus towards North ![v_1=15.2 km/h\approx 4.22\ m/s](https://tex.z-dn.net/?f=v_1%3D15.2%20km%2Fh%5Capprox%204.22%5C%20m%2Fs)
mass of bus travelling in South direction is ![m_2=1.578\times 10^4 kg](https://tex.z-dn.net/?f=m_2%3D1.578%5Ctimes%2010%5E4%20kg)
speed of bus ![v_2=12.2 km/h\approx 3.38\ m/s](https://tex.z-dn.net/?f=v_2%3D12.2%20km%2Fh%5Capprox%203.38%5C%20m%2Fs)
mass of each Passenger in south moving bus ![m_0=64.8 kg](https://tex.z-dn.net/?f=m_0%3D64.8%20kg)
Momentum of North moving bus
![P_1=m_1\times v_1](https://tex.z-dn.net/?f=P_1%3Dm_1%5Ctimes%20v_1)
![P_1=1.6\times 10^4\times 4.22](https://tex.z-dn.net/?f=P_1%3D1.6%5Ctimes%2010%5E4%5Ctimes%204.22)
![P_1=6.768\times 10^4 kg-m/s](https://tex.z-dn.net/?f=P_1%3D6.768%5Ctimes%2010%5E4%20kg-m%2Fs)
Momentum with south moving bus
![P_2=m_2\times v_2+n\cdot m_0\times v_2](https://tex.z-dn.net/?f=P_2%3Dm_2%5Ctimes%20v_2%2Bn%5Ccdot%20m_0%5Ctimes%20v_2)
![P_2=(1.578\times 10^4+n\cdot 64.8 )\cdot 3.38](https://tex.z-dn.net/?f=P_2%3D%281.578%5Ctimes%2010%5E4%2Bn%5Ccdot%2064.8%20%29%5Ccdot%203.38)
For total momentum to be towards south
should be greater than 0
thus for least value of n
![P_2=P_1](https://tex.z-dn.net/?f=P_2%3DP_1)
![(1.578\times 10^4+n\cdot 64.8 )\cdot 3.38=6.768\times 10^4](https://tex.z-dn.net/?f=%281.578%5Ctimes%2010%5E4%2Bn%5Ccdot%2064.8%20%29%5Ccdot%203.38%3D6.768%5Ctimes%2010%5E4)
![1.578\times 10^4+n\cdot 64.8=2.0023\times 10^4](https://tex.z-dn.net/?f=1.578%5Ctimes%2010%5E4%2Bn%5Ccdot%2064.8%3D2.0023%5Ctimes%2010%5E4)
The initial force between the two charges is given by:
![F=k \frac{q_1 q_2}{d^2}](https://tex.z-dn.net/?f=F%3Dk%20%5Cfrac%7Bq_1%20q_2%7D%7Bd%5E2%7D)
where k is the Coulomb's constant, q1 and q2 the two charges, d their separation. Let's analyze now the other situations:
1. F
In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.
So, we have:
![q_1' = \frac{q_1}{2}\\q_2' = 2 q_2\\d' = d](https://tex.z-dn.net/?f=q_1%27%20%3D%20%5Cfrac%7Bq_1%7D%7B2%7D%5C%5Cq_2%27%20%3D%202%20q_2%5C%5Cd%27%20%3D%20d)
So, the new force is:
![F'=k \frac{q_1' q_2'}{d'^2}= k \frac{(\frac{q_1}{2})(2q_2)}{d^2}=k \frac{q_1 q_2}{d^2}=F](https://tex.z-dn.net/?f=F%27%3Dk%20%5Cfrac%7Bq_1%27%20q_2%27%7D%7Bd%27%5E2%7D%3D%20k%20%5Cfrac%7B%28%5Cfrac%7Bq_1%7D%7B2%7D%29%282q_2%29%7D%7Bd%5E2%7D%3Dk%20%5Cfrac%7Bq_1%20q_2%7D%7Bd%5E2%7D%3DF)
So the force has not changed.
2. F/4
In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.
So, we have:
![q_1' = q_1\\q_2' = q_2\\d' = 2d](https://tex.z-dn.net/?f=q_1%27%20%3D%20q_1%5C%5Cq_2%27%20%3D%20q_2%5C%5Cd%27%20%3D%202d)
So, the new force is:
![F'=k \frac{q_1' q_2'}{d'^2}= k \frac{q_1 q_2)}{(2d)^2}=\frac{1}{4} k \frac{q_1 q_2}{d^2}=\frac{F}{4}](https://tex.z-dn.net/?f=F%27%3Dk%20%5Cfrac%7Bq_1%27%20q_2%27%7D%7Bd%27%5E2%7D%3D%20k%20%5Cfrac%7Bq_1%20q_2%29%7D%7B%282d%29%5E2%7D%3D%5Cfrac%7B1%7D%7B4%7D%20k%20%5Cfrac%7Bq_1%20q_2%7D%7Bd%5E2%7D%3D%5Cfrac%7BF%7D%7B4%7D)
So the force has decreased by a factor 4.
3. 6F
In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.
So, we have:
![q_1' = 2 q_1\\q_2' = 3 q_2\\d' = d](https://tex.z-dn.net/?f=q_1%27%20%3D%202%20q_1%5C%5Cq_2%27%20%3D%203%20q_2%5C%5Cd%27%20%3D%20d)
So, the new force is:
![F'=k \frac{q_1' q_2'}{d'^2}= k \frac{(2 q_1)(3 q_2)}{d^2}=6 k \frac{q_1 q_2}{d^2}=6F](https://tex.z-dn.net/?f=F%27%3Dk%20%5Cfrac%7Bq_1%27%20q_2%27%7D%7Bd%27%5E2%7D%3D%20k%20%5Cfrac%7B%282%20q_1%29%283%20q_2%29%7D%7Bd%5E2%7D%3D6%20k%20%5Cfrac%7Bq_1%20q_2%7D%7Bd%5E2%7D%3D6F)
So the force has increased by a factor 6.
Answer: A voltmeter must have a high resistance where as an ammeter must have a low resistance.
Explanation:
A voltmeter is a device which is connected in parallel to the component across which voltage needs to be measured. In a parallel circuit voltage drop is same at the nodes. The parallel connection must not offer easier path for current to divert from the main circuit and travel. Thus, a voltmeter must have high resistance.
On the other hand, an ammeter which is used to measure current in the circuit must have low resistance as it is connected in series. It should not offer resistance as it would reduce the actual current and measurement would be inaccurate.
Answer: The infra red waves is located between microwave and visible light based on their WAVELENGTH and FREQUENCY of occurrence.
Explanation:
Electromagnetic waves are those waves that do not require or need a material medium for its propagation, but they are able to travel through a vacuum. They exhibit or show all properties associated or connected with light. They are undeflected in electric and magnetic fields. These electromagnetic waves are arranged in order of their FREQUENCY and WAVELENGTHS which is known as ELECTROMAGNETIC SPECTRUM.
FREQUENCY is defined as the number of cycles which the wave completes in one second and is measured in Hertz(Hz). While WAVELENGTH is defined as the distance between two successive crests or troughs of waves which is measured in meter (m).
The electromagnetic spectrum is made up of the following rays which is arranged from the biggest wavelengths to the smallest:
--> Radiowaves
--> microwave :
--> infrared rays:
--> visible light:
--> ultraviolet rays
--> x-rays and
--> Gamma rays.
According to the arrangement of the spectrum above, the microwave has a higher wavelength and frequency than the infrared rays, while the visible light has a lower wavelength and frequency than the infrared rays.
The light can definitely change the mystery material. This can occur through a change in temperature or color (option C).
A material is affected by light mainly if the material absorbs the light. Based on the chart, we know this mystery material can absorb two types of light:
Moreover, this phenomenon can lead to two main changes:
- Change in temperature: Light affects materials by increasing their temperature of these. A common example is the way the temperature of an object increases if it is exposed to sunlight.
- Change in color: Some materials react to light by changing their color.
Based on this, the material can change its color or temperature.
Note: This question is incomplete; here is the missing part:
A. Yes, but the mystery material can change in only one way, such as by getting warm, because all the light that a material absorbs will affect that material in the same way.
B. No. The mystery material can’t change because the light is not a physical thing. Light cannot change physical things like the mystery material.
C. Yes and the mystery material can change in one or two different ways, such as by getting warm and/or changing color, because different types of light can cause different changes to a material when they are absorbed.
D. There is no way to know whether the mystery material will change or not.
Learn more about sunlight in: brainly.com/question/1603783