Answer:
A.) Equal Forces act in equal times, so the change in momentum for both objects must be equal.
(Hope this helps! Btw, I am the first to answer.)
Answer:
The density is 
Explanation:
From the question we are told that
The weight in air is 
The weight in water is 
The weight in a unknown liquid is 
Now according to Archimedes principle the weight of the object in water is mathematically represented as

Where
is he mass of the water displaced
substituting value


Now according to Archimedes principle the weight of the object in unknown is mathematically represented as

Where
is he mass of the unknown liquid displaced
substituting value


dividing equation 2 by equation 1


=> 
Now since the volume of water and liquid displaced are the same then

This because

So if volume is constant
mass = constant * density
Where
is the density of the liquid
and
is the density of water which is a constant with a value 
So


Answer:
a) In a parallel plate capacitor the capacitance is

So, in order to halve the capacitance the plate separation should be twice the original distance.
b) Same question as (a).
c) According to the above equations, the charge stored in a capacitor is directly proportional to the plate separation.

In order to halve the charge stored the plate separation should be half the original distance.
d) Same question as (c).
e) The energy stored in a capacitor is

In order to halve the energy stored in the capacitor, the plate separation should be twice the original distance.
f) Same question as (e).
g) The energy density is given by the following equation

As it turns out, the energy density is independent from the geometric factors. This makes sense, because the electric field in a parallel field capacitor is independent from the distance.
Answer:
Add Ff from Fa
Explanation:
Fnet = sum of all force
horizontal net force = Ff + Fa
Answer:
Part a)

Part b)

Part c)

Part d)

Part e)

Part f)

Explanation:
As we know that catapult is projected with speed 19.9 m/s
so here we have


similarly we have


Part a)
Horizontal displacement in 1.03 s



Part b)
Vertical direction we have
![y = v_y t - \frac{1]{2}gt^2](https://tex.z-dn.net/?f=y%20%3D%20v_y%20t%20-%20%5Cfrac%7B1%5D%7B2%7Dgt%5E2)


Part c)
Horizontal displacement in 1.71 s



Part d)
Vertical direction we have
![y = v_y t - \frac{1]{2}gt^2](https://tex.z-dn.net/?f=y%20%3D%20v_y%20t%20-%20%5Cfrac%7B1%5D%7B2%7Dgt%5E2)


Part e)
Horizontal displacement in 5.44 s



Part f)
Vertical direction we have
![y = v_y t - \frac{1]{2}gt^2](https://tex.z-dn.net/?f=y%20%3D%20v_y%20t%20-%20%5Cfrac%7B1%5D%7B2%7Dgt%5E2)

