The new acceleration is ![108 m/s^2](https://tex.z-dn.net/?f=108%20m%2Fs%5E2)
Explanation:
We can answer this problem by applying Newton's second law, which states that:
![F=ma](https://tex.z-dn.net/?f=F%3Dma)
where
F is the net force on an object
m is the mass of the object
a is its acceleration
The equation can be rewritten as
![a=\frac{F}{m}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7BF%7D%7Bm%7D)
In this problem, the initial acceleration is
![a=18.0 m/s^2](https://tex.z-dn.net/?f=a%3D18.0%20m%2Fs%5E2)
Later:
- The net force is tripled: ![F'=3F](https://tex.z-dn.net/?f=F%27%3D3F)
- The mass is halved: ![m'=\frac{m}{2}](https://tex.z-dn.net/?f=m%27%3D%5Cfrac%7Bm%7D%7B2%7D)
Therefore, the new acceleration is:
![a'=\frac{F'}{m'}=\frac{3F}{m/2}=6\frac{F}{m}=6a](https://tex.z-dn.net/?f=a%27%3D%5Cfrac%7BF%27%7D%7Bm%27%7D%3D%5Cfrac%7B3F%7D%7Bm%2F2%7D%3D6%5Cfrac%7BF%7D%7Bm%7D%3D6a)
which means that the new acceleration is 6 times the original acceleration, therefore
![a'=6(18)=108 m/s^2](https://tex.z-dn.net/?f=a%27%3D6%2818%29%3D108%20m%2Fs%5E2)
Learn more about acceleration:
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Complete question:
if two point charges are separated by 1.5 cm and have charge values of +2.0 and -4.0 μC, respectively, what is the value of the mutual force between them.
Answer:
The mutual force between the two point charges is 319.64 N
Explanation:
Given;
distance between the two point charges, r = 1.5 cm = 1.5 x 10⁻² m
value of the charges, q₁ and q₂ = 2 μC and - μ4 C
Apply Coulomb's law;
![F = \frac{k|q_1||q_2|}{r^2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bk%7Cq_1%7C%7Cq_2%7C%7D%7Br%5E2%7D)
where;
F is the force of attraction between the two charges
|q₁| and |q₂| are the magnitude of the two charges
r is the distance between the two charges
k is Coulomb's constant = 8.99 x 10⁹ Nm²/C²
![F = \frac{k|q_1||q_2|}{r^2} \\\\F = \frac{8.99*10^9 *4*10^{-6}*2*10^{-6}}{(1.5*10^{-2})^2} \\\\F = 319.64 \ N](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bk%7Cq_1%7C%7Cq_2%7C%7D%7Br%5E2%7D%20%5C%5C%5C%5CF%20%3D%20%5Cfrac%7B8.99%2A10%5E9%20%2A4%2A10%5E%7B-6%7D%2A2%2A10%5E%7B-6%7D%7D%7B%281.5%2A10%5E%7B-2%7D%29%5E2%7D%20%5C%5C%5C%5CF%20%3D%20319.64%20%5C%20N)
Therefore, the mutual force between the two point charges is 319.64 N
Answer:
E = q V B describes the electric field induced
E Proportional to V B
while the magnet is pushed into the coil the induced field (B) will increase (consider 1 turn of the coil)
If V is constant the E-field will increase due to increasing B and the galvanometer will deflect accordingly
When V drops to zero the deflection must again be zero
So one would see a blip due to the deflection of the galvanometer
Note that as V increases the galvanometer will deflect one way and then as V drops to zero the deflection will be opposite (drop to zero when V is zero)
B always increases to a constant value because of the properties of the magnet.