Answer:
Explanation:
2F-F=ma, so F=ma or .17=(13x10-3kg)a then a=13.07m/s2
Explanation:
(a) Formula to calculate the density is as follows.

= 
= 
Now, calculate the charge as follows.

= 
=
C
or, = 101.06 nC
(b) For r = 6.50 cm, the value of charge will be calculated as follows.

= 
= 7.454 
Answer:
The value of acceleration that accomplishes this is 8.61 ft/s² .
Explanation:
Given;
maximum distance to be traveled by the car when the brake is applied, d = 450 ft
initial velocity of the car, u = 60 mph = (1.467 x 60) = 88.02 ft/s
final velocity of the car when it stops, v = 0
Apply the following kinematic equation to solve for the deceleration of the car.
v² = u² + 2as
0 = 88.02² + (2 x 450)a
-900a = 7747.5204
a = -7747.5204 / 900
a = -8.61 ft/s²
|a| = 8.61 ft/s²
Therefore, the value of acceleration that accomplishes this is 8.61 ft/s² .
The range of a projectile motion is given by:

where,
is the initial speed of the projectile,
is the angle of the projectile and
is the acceleration due to gravity.
The maximum height reached is given by:

Part a
It is given that the maximum height reached is equal to the horizontal range. we need to find the angle of the projectile.
Equating the two:

Hence, the projectile was thrown at an initial angle of
.
Part b
we need to find the angle for which range would be maximum and then write this maximum range in terms of original range.
So, we know that range is given by:

It would be maximum when 
Hence, 
Original range,

Part c:
In the part a, we know that the angle of the projectile is independent of the
i.e. the acceleration due to gravity and this is the only factor that varies with the different planets. Hence, the answer would remain same.