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<h2>
Answer:</h2>
(a) 6.95 x 10⁻⁸ C
(b) 6.25N/C
<h2>
Explanation:</h2>
The electric field (E) on a point charge, Q, is given by;
E = k x Q / r² ---------------(i)
Where;
k = constant = 8.99 x 10⁹ N m²/C²
r = distance of the charge from a reference point.
Given from the question;
E = 10000N/C
r = 0.250m
Substitute these values into equation(i) as follows;
10000 = 8.99 x 10⁹ x Q / (0.25)²
10000 = 8.99 x 10⁹ x Q / (0.0625)
10000 = 143.84 x 10⁹ x Q
Solve for Q;
Q = 10000/(143.84 x 10⁹)
Q = 0.00695 x 10⁻⁵C
Q = 6.95 x 10⁻⁸ C
The magnitude of the charge is 6.95 x 10⁻⁸ C
(b) To get how large the field (E) will be at r = 10.0m, substitute these values including Q = 6.95 x 10⁻⁸ C into equation (i) as follows;
E = k x Q / r²
E = 8.99 x 10⁹ x 6.95 x 10⁻⁸ / 10²
E = 8.99 x 10⁹ x 6.95 x 10⁻⁸ / 100
E = 6.25N/C
Therefore, at 10.0m, the electric field will be just 6.25N/C
Answer:
KE = 250 kg/m/s
Explanation:
use the formula: KE = 1/2 m (v^2)
KE = 1/2 (5) (10^2)
KE = (2.5) (100)
KE = 250 kg/m/s
Answer:

Explanation:
Given,
For the first rocket,
- Initial velocity of the first rocket A =

- Acceleration of the first rocket =

For the second rocket,
- Initial velocity of the second rocket B =

- Displacement of both the rockets A and B = s = 0 m
Fro the first rocket,
Let 't' be the time taken by the first rocket A for whole the displacement

Let
be the acceleration of the second rocket B for the same time interval
from the kinematics,


Hence the acceleration of the second rocket B is -33.65\ m/s^2.
Answer:
The value of the time constant is 558.11 sec.
Explanation:
Given that,
Pendulum length = 1 m
Initial angle = 15°
Time = 1000 s
Reduced amplitude = 2.5°
We need to calculate the value of the time constant
Using formula of damping oscillation

Where,
=amplitude
=amplitude at t = 0
Put the value into the formula





Hence, The value of the time constant is 558.11 sec.