Explanation:
It s given that,
Mass of a planet, ![M=3.7\times 10^{24}\ kg](https://tex.z-dn.net/?f=M%3D3.7%5Ctimes%2010%5E%7B24%7D%5C%20kg)
Radius of a planet, ![R=9.2\times 10^{6}\ m](https://tex.z-dn.net/?f=R%3D9.2%5Ctimes%2010%5E%7B6%7D%5C%20m)
(1) We need to find the acceleration due to gravity for a person on the surface of the planet. Its formula is given by :
![g=\dfrac{GM}{R^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7BGM%7D%7BR%5E2%7D)
![g=\dfrac{6.67\times 10^{-11}\ Nm^2/kg^2\times 3.7\times 10^{24}\ kg}{(9.2\times 10^{6}\ m)^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5C%20Nm%5E2%2Fkg%5E2%5Ctimes%203.7%5Ctimes%2010%5E%7B24%7D%5C%20kg%7D%7B%289.2%5Ctimes%2010%5E%7B6%7D%5C%20m%29%5E2%7D)
![g=2.91\ m/s^2](https://tex.z-dn.net/?f=g%3D2.91%5C%20m%2Fs%5E2)
(2) The escape velocity is given by :
![v=\sqrt{\dfrac{2GM}{R}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B2GM%7D%7BR%7D%7D)
![v=\sqrt{{\dfrac{2\times 6.67\times 10^{-11}\ Nm^2/kg^2\times 3.7\times 10^{24}\ kg}{9.2\times 10^{6}\ m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%7B%5Cdfrac%7B2%5Ctimes%206.67%5Ctimes%2010%5E%7B-11%7D%5C%20Nm%5E2%2Fkg%5E2%5Ctimes%203.7%5Ctimes%2010%5E%7B24%7D%5C%20kg%7D%7B9.2%5Ctimes%2010%5E%7B6%7D%5C%20m%7D%7D)
v = 7324.61 m/s
Hence, this is the required solution.
Answer:
35
Explanation:
We are given that
Initial voltage,![V_1=120 V](https://tex.z-dn.net/?f=V_1%3D120%20V)
Final voltage, ![V_2=5 V](https://tex.z-dn.net/?f=V_2%3D5%20V)
Number of tuns in primary coil of the transformer, ![N_p=840](https://tex.z-dn.net/?f=N_p%3D840)
Rms current, ![I_{rms}=580mA=580\times 10^{-3} A](https://tex.z-dn.net/?f=I_%7Brms%7D%3D580mA%3D580%5Ctimes%2010%5E%7B-3%7D%20A)
![1 mA=10^{-3} A](https://tex.z-dn.net/?f=%201%20mA%3D10%5E%7B-3%7D%20A)
We have to find the number of turns are there on the secondary coil.
We know that
![\frac{N_s}{N_p}=\frac{V_2}{V_1}](https://tex.z-dn.net/?f=%5Cfrac%7BN_s%7D%7BN_p%7D%3D%5Cfrac%7BV_2%7D%7BV_1%7D)
Using the formula
![\frac{N_s}{840}=\frac{5}{120}](https://tex.z-dn.net/?f=%5Cfrac%7BN_s%7D%7B840%7D%3D%5Cfrac%7B5%7D%7B120%7D)
![N_s=\frac{5}{120}\times 840=35](https://tex.z-dn.net/?f=N_s%3D%5Cfrac%7B5%7D%7B120%7D%5Ctimes%20840%3D35)
Hence, there are number of turns on the secondary coil=35
The new force would be 1.6 N.
Since the charges multiply as variables (q1)x(q2), then it would simply be double (q1)x(q2), or 1.6.
Answer:
A) Diagonals of a parallelogram bisect each other
Answer:
26.5 m
Explanation:
= initial position of the object = 75.2 m
= final position of the object
= displacement of the object = - 48.7
Displacement of the object is given as the difference of final and initial position of the object
![d = x - x_{o}](https://tex.z-dn.net/?f=d%20%3D%20x%20-%20x_%7Bo%7D)
Inserting the values
- 48.7 = x - 75.2
x = 26.5 m