Answer:
m₂ = 3kg
Explanation:
The question wasn't clear about what direction the initial velocity of the second cart was, so I'll assume it was going left at 2.0m/s.
Anyway, this is a conservation of momentum problem. The equation you need to use is the one written in blue. They want you to solve for the mass of the second cart, so do some algebra and rearrange that blue equation in term of m₂.
Now that you have the equation for m₂, plug in all the values given from the question and you'll get 3kg.
(a) 
For an electromagnetic wave incident on a surface, the radiation pressure is given by (assuming all the radiation is absorbed)

where
I is the intensity
c is the speed of light
In this problem,
; substituting this value, we find the radiation pressure:

the force exerted on the Earth depends on the surface considered. Assuming that the sunlight hits half of the Earth's surface (the half illuminated by the Sun), we have to consider the area of a hemisphere, which is

where

is the Earth's radius. Substituting,

And so the force exerted by the sunlight is

(b) 
The gravitational force exerted by the Sun on the Earth is

where
G is the gravitational constant
is the Sun's mass
is the Earth's mass
is the distance between the Sun and the Earth
Substituting,

And so, the radiation pressure force on Earth as a fraction of the sun's gravitational force on Earth is

Answer:
The current would be 0.12A
Explanation:
Well, the formula for electric current is

where i is current, q is charge and t is time. Then we have to calculate the charge. If we know that the charge of a proton is
, then we calculate the charge of 1500 protons as it follows:

So the current for each square meter of Earth's surface is

Finally, knowing the surface of the Earth is 510065284702000
, we can calculate the total current 

Words less true are seldom if ever spoken.
200/1.5 = 133.33 seconds.
= approximately 2 mins and 13 secs.