Answer:
The magnitude of the charge on each sphere is 0.135 μC
Explanation:
Given that,
Mass = 1.0
Distance = 2.0 cm
Acceleration = 414 m/s²
We need to calculate the magnitude of charge
Using newton's second law
![F= ma](https://tex.z-dn.net/?f=F%3D%20ma)
![a=\dfrac{F}{m}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D)
Put the value of F
![a=\dfrac{kq^2}{mr^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bkq%5E2%7D%7Bmr%5E2%7D)
Put the value into the formula
![414=\dfrac{9\times10^{9}\times q^2}{1.0\times10^{-3}\times(2.0\times10^{-2})^2}](https://tex.z-dn.net/?f=414%3D%5Cdfrac%7B9%5Ctimes10%5E%7B9%7D%5Ctimes%20q%5E2%7D%7B1.0%5Ctimes10%5E%7B-3%7D%5Ctimes%282.0%5Ctimes10%5E%7B-2%7D%29%5E2%7D)
![q^2=\dfrac{414\times1.0\times10^{-3}\times(2.0\times10^{-2})^2}{9\times10^{9}}](https://tex.z-dn.net/?f=q%5E2%3D%5Cdfrac%7B414%5Ctimes1.0%5Ctimes10%5E%7B-3%7D%5Ctimes%282.0%5Ctimes10%5E%7B-2%7D%29%5E2%7D%7B9%5Ctimes10%5E%7B9%7D%7D)
![q^2=1.84\times10^{-14}](https://tex.z-dn.net/?f=q%5E2%3D1.84%5Ctimes10%5E%7B-14%7D)
![q=0.135\times10^{-6}\ C](https://tex.z-dn.net/?f=q%3D0.135%5Ctimes10%5E%7B-6%7D%5C%20C)
![q=0.135\ \mu C](https://tex.z-dn.net/?f=q%3D0.135%5C%20%5Cmu%20C)
Hence, The magnitude of the charge on each sphere is 0.135μC.
Answer:
1362000 kgm/s
Explanation:
So the total mass combination of the plane and the people inside it is
M = 35000 + 160*65 = 45400 kg
After 15 seconds at an acceleration of 2 m/s2, the plane speed would be
V = 2*15 = 30 m/s
So the magnitude of the plane 15s after brakes are released is
MV = 45400 * 30 = 1362000 kgm/s
I believe it is C i am not sure
Answer:
velocity = 1527.52 ft/s
Acceleration = 80.13 ft/s²
Explanation:
We are given;
Radius of rotation; r = 32,700 ft
Radial acceleration; a_r = r¨ = 85 ft/s²
Angular velocity; ω = θ˙˙ = 0.019 rad/s
Also, angle θ reaches 66°
So, velocity of the rocket for the given position will be;
v = rθ˙˙/cos θ
so, v = 32700 × 0.019/ cos 66
v = 1527.52 ft/s
Acceleration is given by the formula ;
a = a_r/sinθ
For the given position,
a_r = r¨ - r(θ˙˙)²
Thus,
a = (r¨ - r(θ˙˙)²)/sinθ
Plugging in the relevant values, we obtain;
a = (85 - 32700(0.019)²)/sin66
a = (85 - 11.8047)/0.9135
a = 80.13 ft/s²