Answer:
See the explanation below
Explanation:
This problem can be better understood graphically, so in the attached image we will use a diagram of a positive displacement air pump.
We can see that when she pushes the plunger, we see that the volume decreases.
Answer:
a)

b) 35m/s
c) 0
d) -35m/s
e) Velocity is decreasing.
f) 70 seconds
Answer:
59.503987 seconds
Explanation:
b = Proportionality constant = 50 Ns/m
g = Acceleration due to gravity = 9.81 m/s²
m = Mass of object = 700 kg
We have the equation of velocity

The equation of motion


when x(t)=2000

The time taken is 59.503987 seconds
I will assume you are asking what the initial acceleration of the sphere is since the information provided seems to indicate that.
First we need to know Newton's Law
F=ma.
We know the mass of the sphere and we want a so we solve to get
a=F/m.
Now we need the force on the charged sphere. This is given by the electric field, E and the charge, Q. The relationship is F=Q×E. (Recall that the electric field units can be expressed in Newtons/Coulomb).
Now the electric field above a large (~infinite) sheet of charge with a known charge density σ, is given by
E = σ/(2ε0)
Plug in your values of σ, to get E, then the sphere charge Q to get F, the the mass into a = F/m to get the acceleration