Answer:
12.7 N
15.7 N
Explanation:
mass (m) = 0.15 kg
radius (r) = 0.6 m
speed = 2 rps = 2 x 60 = 120 rpm
acceleration due to gravity (g) = 9.8 m/s^{2}
find the tension at the top and bottom of the circle.
Tension at the top T = 
v = radius x rpm x 0.10472 = 0.6 x 120 x 0.10472 = 7.54 m/s
- we can now substitute the value of v into T =

T =
= 12.7 N
Tension at the bottom T' = 
v = radius x rpm x 0.10472 = 0.6 x 120 x 0.10472 = 7.54 m/s
- we can now substitute the value of v into T' =

T' =
= 15.7 N
Answer:

Explanation:
It is given that,
Velocity of a particle, 
Position vector of a particle, 
We need to find the angular momentum of the particle. It is given by :
, p = linear momentum




So, the angular momentum of the particle is
. Hence, this is the required solution.
Answer:
<em>B) 1.0 × 10^5 V</em>
Explanation:
<u>Electric Potential Due To Point Charges
</u>
The electric potential produced from a point charge Q at a distance r from the charge is

The total electric potential for a system of point charges is equal to the sum of their individual potentials. This is a scalar sum, so direction is not relevant.
We must compute the total electric potential in the center of the square. We need to know the distance from all the corners to the center. The diagonal of the square is

where a is the length of the side.
The distance from any corner to the center is half the diagonal, thus


The total potential is

Where V1 and V2 are produced by the +4\mu C charges and V3 and V4 are produced by the two opposite charges of
. Since all the distances are equal, and the charges producing V3 and V4 are opposite, V3 and V4 cancel each other. We only need to compute V1 or V2, since they are equal, but they won't cancel.


The total potential is


Explanation:
Let T is the period of a pendulum. The SI unit of time is seconds (s).
It depends on the acceleration of gravity, g, and the length of the pendulum, l.
The SI unit of acceleration of gravity, g and the length of the pendulum, l are m/s² and m respectively.
If we divide m and m/s², we left with s². If the square root of s² is taken, we get s only i.e. the SI unit of period of a pendulum.
So,

Hence, this is the required solution.