Answer:
![\mu=0.185](https://tex.z-dn.net/?f=%5Cmu%3D0.185)
Explanation:
From the question we are told that:
Mass ![m=17kg](https://tex.z-dn.net/?f=m%3D17kg)
Force ![F=33N](https://tex.z-dn.net/?f=F%3D33N)
Velocity ![v=1.6m/s](https://tex.z-dn.net/?f=v%3D1.6m%2Fs)
Distance ![d= 9.8m](https://tex.z-dn.net/?f=d%3D%209.8m)
Generally the equation for Work done is mathematically given by
![W=\triangle K.E+\triangle P.E](https://tex.z-dn.net/?f=W%3D%5Ctriangle%20K.E%2B%5Ctriangle%20P.E)
Where
![\triangle K.E=(F-F_f)*2](https://tex.z-dn.net/?f=%5Ctriangle%20K.E%3D%28F-F_f%29%2A2)
![F_f=F+\frac{\triangle K.E}{d}](https://tex.z-dn.net/?f=F_f%3DF%2B%5Cfrac%7B%5Ctriangle%20K.E%7D%7Bd%7D)
![F_f=33+\frac{0.5*17*1.6^2}{9.8}](https://tex.z-dn.net/?f=F_f%3D33%2B%5Cfrac%7B0.5%2A17%2A1.6%5E2%7D%7B9.8%7D)
![F_f=30.8N](https://tex.z-dn.net/?f=F_f%3D30.8N)
Since
![f = \mu*m*g](https://tex.z-dn.net/?f=f%20%3D%20%5Cmu%2Am%2Ag)
![\mu= 30.8/(m*g)](https://tex.z-dn.net/?f=%5Cmu%3D%2030.8%2F%28m%2Ag%29)
![\mu= 30.8/(17*9.81)](https://tex.z-dn.net/?f=%5Cmu%3D%2030.8%2F%2817%2A9.81%29)
![\mu=0.185](https://tex.z-dn.net/?f=%5Cmu%3D0.185)
Answer:
(a) dime
Explanation:
Convert all to metric unit:
0.5 cm = 0.005 m
1.8 cm = 0.018 m
71 cm = 0.71 m
In order to find out we would need to calculate the ratio R between the object diameter d and their distance s to our eyes:
![R_m = \frac{d_m}{s_m} = \frac{3.48*10^6}{3.85*10^8} \approx 0.009](https://tex.z-dn.net/?f=R_m%20%3D%20%5Cfrac%7Bd_m%7D%7Bs_m%7D%20%3D%20%5Cfrac%7B3.48%2A10%5E6%7D%7B3.85%2A10%5E8%7D%20%5Capprox%200.009)
![R_p = \frac{d_p}{s_p} = \frac{0.005}{0.71} \approx 0.007](https://tex.z-dn.net/?f=R_p%20%3D%20%5Cfrac%7Bd_p%7D%7Bs_p%7D%20%3D%20%5Cfrac%7B0.005%7D%7B0.71%7D%20%5Capprox%200.007%20)
![R_d = \frac{d_d}{s_d} = \frac{0.018}{0.71} \approx 0.0253](https://tex.z-dn.net/?f=R_d%20%3D%20%5Cfrac%7Bd_d%7D%7Bs_d%7D%20%3D%20%5Cfrac%7B0.018%7D%7B0.71%7D%20%5Capprox%200.0253%20)
Since the ratio of the dime is larger than the ratio of the moon, and the ratio of the pea is smaller than the ratio of the moon, only the (a) dime can cover your view of the moon.
Answer:
Explanation:
Brownian motion is a random (irregular) motion of particles e.g smoke particle. The set up in the diagram can be used to observe the motion of smoke.
1. The apparatus used are:
A is a source of light
B is a converging lens
C is a glass smoke cell
D is a microscope
2. The uses of the apparatus are:
A - produces the light required to so as to see clearly the movement of the particles.
B - converges the rays of light from the source to the smoke cell.
C - is made of glass and used for encamping the smoke particles so as not to mix with air.
D - is used for the clear view or observation or study of the motion of the smoke particles in the cell.
The equation
(option 3) represents the horizontal momentum of a 15 kg lab cart moving with a constant velocity, v, and that continues moving after a 2 kg object is dropped into it.
The horizontal momentum is given by:
![p_{i} = p_{f}](https://tex.z-dn.net/?f=%20p_%7Bi%7D%20%3D%20p_%7Bf%7D%20)
![m_{1}v_{1}_{i} + m_{2}v_{2}_{i} = m_{1}v_{1}_{f} + m_{2}v_{2}_{f}](https://tex.z-dn.net/?f=%20m_%7B1%7Dv_%7B1%7D_%7Bi%7D%20%2B%20m_%7B2%7Dv_%7B2%7D_%7Bi%7D%20%3D%20m_%7B1%7Dv_%7B1%7D_%7Bf%7D%20%2B%20m_%7B2%7Dv_%7B2%7D_%7Bf%7D%20)
Where:
- m₁: is the mass of the lab cart = 15 kg
- m₂: is the <em>mass </em>of the object dropped = 2 kg
: is the initial velocity of the<em> lab cart </em>
: is the <em>initial velocit</em>y of the <em>object </em>= 0 (it is dropped)
: is the final velocity of the<em> lab cart </em>
: is the <em>final velocity</em> of the <em>object </em>
Then, the horizontal momentum is:
![15v_{1}_{i} + 2*0 = 15v_{1}_{f} + 2v_{2}_{f}](https://tex.z-dn.net/?f=%2015v_%7B1%7D_%7Bi%7D%20%2B%202%2A0%20%3D%2015v_%7B1%7D_%7Bf%7D%20%2B%202v_%7B2%7D_%7Bf%7D%20)
When the object is dropped into the lab cart, the final velocity of the lab cart and the object <u>will be the same</u>, so:
![15v_{1}_{i} + 2*0 = v_{f}(15 + 2)](https://tex.z-dn.net/?f=%2015v_%7B1%7D_%7Bi%7D%20%2B%202%2A0%20%3D%20v_%7Bf%7D%2815%20%2B%202%29%20)
Therefore, the equation
represents the horizontal momentum (option 3).
Learn more about linear momentum here:
I hope it helps you!
Refraction is said to occur when there is a change in the speed of light.
<h3>What is the angle of refraction?</h3>
We know that refraction is said to occur when there is a change in the speed of light as it travels form one medium to another.
Given that the refractive index of the rectangular glass block is 1.5. The angle of refraction can be obtained by the use of the Snell's law;
n = sin i /sinr
n = refractive index
sini = angle of incidence
sin r = angle of refraction
sinr = sini/n
sinr = sin 45/1.5
= 0.471
r = 28 degrees
b) Now;
sinr =sin 45/1.2
sinr = 0.589
r = 36 degrees
For the glass
sinr = sin 36/1.5
sin r = 0.392
r = 23 degrees
Learn more about angle of refraction:brainly.com/question/2660868
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