Answer:
Required charge
.

Explanation:
Given:
Diameter of the isolated plastic sphere = 25.0 cm
Magnitude of the Electric field = 1500 N/C
now
Electric field (E) is given as:

where,
k = coulomb's constant = 9 × 10⁹ N
q = required charge
r = distance of the point from the charge where electric field is being measured
The value of r at the just outside of the sphere = 
thus, according to the given data

or

or
Required charge
.
Now,
the number of electrons (n) required will be

or

or

The Linear momentum depends on
1) Mass
2) Linear Velocity
The angular momentum depends on
1) Inertia
2) Rotational velocity
Answer:
Approximately
.
Explanation:
<h3>Solve this question with a speed-time plot</h3>
The skateboarder started with an initial speed of
and came to a stop when her speed became
. How much time would that take if her acceleration is
?
.
Refer to the speed-time graph in the diagram attached. This diagram shows the velocity-time plot of this skateboarder between the time she reached the incline and the time when she came to a stop. This plot, along with the vertical speed axis and the horizontal time axis, form a triangle. The area of this triangle should be equal to the distance that the skateboarder travelled while she was moving up this incline until she came to a stop. For this particular question, that area is approximately equal to:
.
In other words, the skateboarder travelled
up the slope until she came to a stop.
<h3>Solve this question with an SUVAT equation</h3>
A more general equation for this kind of motion is:
,
where:
and
are the initial and final velocity of the object,
is the constant acceleration that changed the velocity of this object from
to
, and
is the distance that this object travelled while its velocity changed from
to
.
For the skateboarder in this question:
.
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