Answer:
a) F = 3.2 10⁻¹⁰ N
, b) v = 9.9 10⁷ m / s
Explanation:
a) The electric force is
F = q E
The electric field is related to the potential reference
V = E d
E = V / d
Let's replace
F = e V / d
Let's calculate
F = 1.6 10⁻¹⁹ 28 10³ / 1.4 10⁻²
F = 3.2 10⁻¹⁰ N
b) For this part we can use kinematics
v² = v₀ + 2 a d
v = √ 2 ad
Acceleration can be found with Newton's second law
e V / d = m a
a = e / m V / d
a = 1.6 10⁻¹⁹ / 9.1 10⁻³¹ 28 10³ / 1.4 10⁻²
a = 3,516 10⁻¹⁷ m / s²
Let's calculate the speed
v = √ (2 3,516 10¹⁷ 1.4 10⁻²)
v = √ (98,448 10¹⁴)
v = 9.9 10⁷ m / s
Answer:
103.1 V
Explanation:
We are given that
Initial circumference=C=168 cm
![\frac{dC}{dt}=-15cm/s](https://tex.z-dn.net/?f=%5Cfrac%7BdC%7D%7Bdt%7D%3D-15cm%2Fs)
Magnetic field,B=0.9 T
We have to find the magnitude of the emf induced in the loop after exactly time 8 s has passed since the circumference of the loop started to decrease.
Magnetic flux=![\phi=BA=B(\pi r^2)](https://tex.z-dn.net/?f=%5Cphi%3DBA%3DB%28%5Cpi%20r%5E2%29)
Circumference,C=![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
![r=\frac{C}{2\pi}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BC%7D%7B2%5Cpi%7D)
cm
![\frac{dr}{dt}=\frac{1}{2\pi}\frac{dC}{dt}=\frac{1}{2\pi}(-15)=-\frac{15}{2\pi} cm/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Cfrac%7BdC%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B2%5Cpi%7D%28-15%29%3D-%5Cfrac%7B15%7D%7B2%5Cpi%7D%20cm%2Fs)
![\int dr=-\int \frac{15}{2\pi}dt](https://tex.z-dn.net/?f=%5Cint%20dr%3D-%5Cint%20%5Cfrac%7B15%7D%7B2%5Cpi%7Ddt)
![r=-\frac{15}{2\pi}t+C](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B15%7D%7B2%5Cpi%7Dt%2BC)
When t=0
![r=\frac{168}{2\pi}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B168%7D%7B2%5Cpi%7D)
![\frac{168}{2\pi}=C](https://tex.z-dn.net/?f=%5Cfrac%7B168%7D%7B2%5Cpi%7D%3DC)
![r=-\frac{15}{2\pi}t+\frac{168}{2\pi}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B15%7D%7B2%5Cpi%7Dt%2B%5Cfrac%7B168%7D%7B2%5Cpi%7D)
E=![-\frac{d\phi}{dt}=-\frac{d(B\pi r^2)}{dt}=-2\pi rB\frac{dr}{dt}](https://tex.z-dn.net/?f=-%5Cfrac%7Bd%5Cphi%7D%7Bdt%7D%3D-%5Cfrac%7Bd%28B%5Cpi%20r%5E2%29%7D%7Bdt%7D%3D-2%5Cpi%20rB%5Cfrac%7Bdr%7D%7Bdt%7D)
![E=-2\pi(-\frac{5}{2\pi}t+\frac{168}{2\pi})B\times -\frac{15}{2\pi}](https://tex.z-dn.net/?f=E%3D-2%5Cpi%28-%5Cfrac%7B5%7D%7B2%5Cpi%7Dt%2B%5Cfrac%7B168%7D%7B2%5Cpi%7D%29B%5Ctimes%20-%5Cfrac%7B15%7D%7B2%5Cpi%7D)
t=8 s
B=0.9
![E=2\pi\times \frac{15}{2\pi}\times 0.9(-\frac{15}{2\pi}(8)+\frac{168}{2\pi})](https://tex.z-dn.net/?f=E%3D2%5Cpi%5Ctimes%20%5Cfrac%7B15%7D%7B2%5Cpi%7D%5Ctimes%200.9%28-%5Cfrac%7B15%7D%7B2%5Cpi%7D%288%29%2B%5Cfrac%7B168%7D%7B2%5Cpi%7D%29)
![E=103.1 V](https://tex.z-dn.net/?f=E%3D103.1%20V)
Make Neptune closer to the sun because then it would have a stronger gravitation pull. Because the closer the objects are, they will have a stronger gravitaional force and when the object has more mass, the gravity is also stronger. So, if the mass is reduced, the gravity force would be reduced, but if you bring neptune closer, the gravity force would increase
<span>Average velocity can be calculated by determining the total displacement divided by the total time of travel. The average velocity of an object does not tell us anything about what happens to it between the starting point and ending point. Average velocity is different from average speed because it considers the direction of travel and the overall change in position.</span>
Answer:
Explanation:
a )
The stored elastic energy of compressed spring
= 1 / 2 k X²
= .5 x 19.6 x (.20)²
= .392 J
b ) The stored potential energy will be converted into gravitational potential energy of the block earth system when the block will ascend along the incline . So change in the gravitational potential energy will be same as stored elastic potential energy of the spring that is .392 J .
c ) Let h be the distance along the incline which the block ascends.
vertical height attained ( H ) =h sin30
= .5 h
elastic potential energy = gravitational energy
.392 = mg H
.392 = 2 x 9.8 x .5 h
h = .04 m
4 cm .
=