The components in a circuit don't determine the voltages in it.
The voltages are all determined by the battery or power supply
that energizes the circuit.
Answer:
The acceleration of the wallet is ![3\hat{i}+6\hat{j}](https://tex.z-dn.net/?f=3%5Chat%7Bi%7D%2B6%5Chat%7Bj%7D)
Explanation:
Given that,
Radius of purse r= 2.30 m
Radius of wallet r'= 3.45 m
Acceleration of the purse ![a=2\hat{i}+4.00\hat{j}](https://tex.z-dn.net/?f=a%3D2%5Chat%7Bi%7D%2B4.00%5Chat%7Bj%7D)
We need to calculate the acceleration of the wallet
Using formula of acceleration
![a=r\omega^2](https://tex.z-dn.net/?f=a%3Dr%5Comega%5E2)
Both the purse and wallet have same angular velocity
![\omega=\omega'](https://tex.z-dn.net/?f=%5Comega%3D%5Comega%27)
![\sqrt{\dfrac{a}{r}}=\sqrt{\dfrac{a'}{r'}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7Ba%7D%7Br%7D%7D%3D%5Csqrt%7B%5Cdfrac%7Ba%27%7D%7Br%27%7D%7D)
![\dfrac{a}{r}=\dfrac{a'}{r'}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Br%7D%3D%5Cdfrac%7Ba%27%7D%7Br%27%7D)
![\dfrac{a'}{a}=\dfrac{r'}{r}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%27%7D%7Ba%7D%3D%5Cdfrac%7Br%27%7D%7Br%7D)
![\dfrac{a'}{a}=\dfrac{3.45}{2.30}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%27%7D%7Ba%7D%3D%5Cdfrac%7B3.45%7D%7B2.30%7D)
![\dfrac{a'}{a}=\dfrac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%27%7D%7Ba%7D%3D%5Cdfrac%7B3%7D%7B2%7D)
![a'=\dfrac{3}{2}\times(2\hat{i}+4.00\hat{j})](https://tex.z-dn.net/?f=a%27%3D%5Cdfrac%7B3%7D%7B2%7D%5Ctimes%282%5Chat%7Bi%7D%2B4.00%5Chat%7Bj%7D%29)
![a'=3\hat{i}+6\hat{j}](https://tex.z-dn.net/?f=a%27%3D3%5Chat%7Bi%7D%2B6%5Chat%7Bj%7D)
Hence, The acceleration of the wallet is ![3\hat{i}+6\hat{j}](https://tex.z-dn.net/?f=3%5Chat%7Bi%7D%2B6%5Chat%7Bj%7D)
Answer:
t = 2 seconds
Explanation:
In 2nd question, the question is given the attached figure.
Initial speed of the bus, u = 0
Acceleration of the bus, a = 8 m/s²
Final speed, v = 16 m/s
We need to find the time taken by the car to reach the stop. Acceleration of an object is given by :
![a=\dfrac{v-u}{t}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv-u%7D%7Bt%7D)
t is time taken
![t=\dfrac{v-u}{a}\\\\t=\dfrac{16-0}{8}\\\\t=2\ s](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bv-u%7D%7Ba%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B16-0%7D%7B8%7D%5C%5C%5C%5Ct%3D2%5C%20s)
The bus will take 2 seconds to reach the stop.
Answer:
The chance in distance is 25 knots
Explanation:
The distance between the two particles is given by:
(1)
Since A is traveling north and B is traveling east we can say that their displacement vector are perpendicular and therefore (1) transformed as:
(2)
Taking the differential with respect to time:
(3)
where
and
are the respective given velocities of the boats. To find
and
we make use of the given position for A,
, the Pythagoras theorem and the relation between distance and velocity for a movement with constant velocity.
![\displaystyle{y_A = v_A\cdot t\rightarrow t = \frac{y_A}{v_A}=\frac{30}{15}=2 h](https://tex.z-dn.net/?f=%5Cdisplaystyle%7By_A%20%3D%20v_A%5Ccdot%20t%5Crightarrow%20t%20%3D%20%5Cfrac%7By_A%7D%7Bv_A%7D%3D%5Cfrac%7B30%7D%7B15%7D%3D2%20h)
with this time, we know can now calculate the distance at which B is:
![\displaystyle{x_B = v_B\cdot t= 20 \cdot 2 = 40\ nmi](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Bx_B%20%3D%20v_B%5Ccdot%20t%3D%2020%20%5Ccdot%202%20%3D%2040%5C%20nmi)
and applying Pythagoras:
![\displaystyle{s = \sqrt{x_B^2+y_A^2}=\sqrt{30^2 + 40^2}=\sqrt{2500}=50}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Bs%20%3D%20%5Csqrt%7Bx_B%5E2%2By_A%5E2%7D%3D%5Csqrt%7B30%5E2%20%2B%2040%5E2%7D%3D%5Csqrt%7B2500%7D%3D50%7D)
Now substituting all the values in (3) and solving for
we get:
![\displaystyle{\frac{ds}{dt} = \frac{1}{2s}(2x_B\frac{dx_B}{dt}+2y_A\frac{dy_A}{dt})}\\\displaystyle{\frac{ds}{dt} = 25 \ knots}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B2s%7D%282x_B%5Cfrac%7Bdx_B%7D%7Bdt%7D%2B2y_A%5Cfrac%7Bdy_A%7D%7Bdt%7D%29%7D%5C%5C%5Cdisplaystyle%7B%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%2025%20%5C%20knots%7D)
I think metal, steel and copper.