Answer:
Explanation:
a )
momentum of baseball before collision
mass x velocity
= .145 x 30.5
= 4.4225 kg m /s
momentum of brick after collision
= 5.75 x 1.1
= 6.325 kg m/s
Applying conservation of momentum
4.4225 + 0 = .145 x v + 6.325 , v is velocity of baseball after collision.
v = - 13.12 m / s
b )
kinetic energy of baseball before collision = 1/2 mv²
= .5 x .145 x 30.5²
= 67.44 J
Total kinetic energy before collision = 67.44 J
c )
kinetic energy of baseball after collision = 1/2 x .145 x 13.12²
= 12.48 J .
kinetic energy of brick after collision
= .5 x 5.75 x 1.1²
= 3.48 J
Total kinetic energy after collision
= 15.96 J
Answer:
![v=1667.9km/h](https://tex.z-dn.net/?f=v%3D1667.9km%2Fh)
![a_{cp}=436.6km/h^2](https://tex.z-dn.net/?f=a_%7Bcp%7D%3D436.6km%2Fh%5E2)
Explanation:
The speed is the distance traveled divided by the time taken. The distance traveled in 24hs while standing on the equator is the circumference of the Earth
, where
is the radius of the Earth.
We have then:
![v=\frac{C}{t}=\frac{2\pi R}{t}=\frac{2\pi (6371km)}{(24h)}=1667.9km/h](https://tex.z-dn.net/?f=v%3D%5Cfrac%7BC%7D%7Bt%7D%3D%5Cfrac%7B2%5Cpi%20R%7D%7Bt%7D%3D%5Cfrac%7B2%5Cpi%20%286371km%29%7D%7B%2824h%29%7D%3D1667.9km%2Fh)
And then we use the centripetal acceleration formula:
![a_{cp}=\frac{v^2}{R}=\frac{(1667.9km/h)^2}{(6371km)}=436.6km/h^2](https://tex.z-dn.net/?f=a_%7Bcp%7D%3D%5Cfrac%7Bv%5E2%7D%7BR%7D%3D%5Cfrac%7B%281667.9km%2Fh%29%5E2%7D%7B%286371km%29%7D%3D436.6km%2Fh%5E2)
Given :
Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south.
To Find :
The magnitude and direction of
a) A + B .
b) A - B.
Solution :
Let , direction in north is given by +j and east is given by +i .
So ,
and ![B=63j](https://tex.z-dn.net/?f=B%3D63j)
Now , A + B is given by :
![A+B=-63i+63j](https://tex.z-dn.net/?f=A%2BB%3D-63i%2B63j)
![| A+B | = 63\sqrt{2}](https://tex.z-dn.net/?f=%7C%20A%2BB%20%7C%20%3D%2063%5Csqrt%7B2%7D)
Direction of A+B is 45° north of west .
Also , for A-B :
![A-B=-63i-63j](https://tex.z-dn.net/?f=A-B%3D-63i-63j)
![|A-B|=63\sqrt{2}](https://tex.z-dn.net/?f=%7CA-B%7C%3D63%5Csqrt%7B2%7D)
Direction of A-B is 45° south of west .
( When two vector of same magnitude which are perpendicular to each other are added or subtracted the resultant is always 45° from each of them)
Hence , this is the required solution .
Answer:
346.66 Hz
Explanation:
= Length of string which is unfingered = l
= Length of string which is vibrate when fingered = ![l-\dfrac{1}{4}l=\dfrac{3}{4}l](https://tex.z-dn.net/?f=l-%5Cdfrac%7B1%7D%7B4%7Dl%3D%5Cdfrac%7B3%7D%7B4%7Dl)
= Unfingered frequency = 260 Hz
= Fingered frequency
Frequency is inversely proportional to length
![f=\dfrac{1}{l}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7Bl%7D)
So,
![\dfrac{f_1}{f_2}=\dfrac{l_2}{l_1}\\\Rightarrow \dfrac{f_1}{f_2}=\dfrac{\dfrac{3}{4}l}{l}\\\Rightarrow \dfrac{f_1}{f_2}=\dfrac{3}{4}\\\Rightarrow f_2=\dfrac{4}{3}f_1\\\Rightarrow f_2=\dfrac{4}{3}260\\\Rightarrow f_2=346.66\ Hz](https://tex.z-dn.net/?f=%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7Bl_2%7D%7Bl_1%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7B%5Cdfrac%7B3%7D%7B4%7Dl%7D%7Bl%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bf_1%7D%7Bf_2%7D%3D%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5CRightarrow%20f_2%3D%5Cdfrac%7B4%7D%7B3%7Df_1%5C%5C%5CRightarrow%20f_2%3D%5Cdfrac%7B4%7D%7B3%7D260%5C%5C%5CRightarrow%20f_2%3D346.66%5C%20Hz)
The frequency of the fingered string is 346.66 Hz
Answer:
is; is not
Explanation:
The four-firm concentration ratio for newstands is 17 and for electric lamp makers it is 89. The HHI for newstands is 105 and for electric lamp makers it is 2 comma 850. The newstand market is an example of monopolistic competition. The electric lamp market is not an example of monopolistic competition