Answer:
q = Q/2
option c is correct
Explanation:
given data
charge = Q
distance r = 1 m
charge = q
to find out
what should q be
solution
we have given charge q is remove so
q1 = Q-q
q2 = q
we know by coulombs law force
force = kq1q2 / r² .............1
put here value and we know k is constant
F = k (Q-q) q / 1
now take derivative charge q and put = 0
dF/dq = k d(Q-q)q / dq
so k (Q-q)q =0
Q = 2q
q = Q/2
so option c is correct
Answer:
0.25223 seconds.
Explanation:
= Mass of bullet = 0.0146 kg
= Mass of block = 2.55 kg
v = Combined velocity
= Velocity of bullet = 816 m/s
g = Acceleration due to gravity = 9.81 m/s²
As linear momentum is conserved
Now as the block (with the bullet in it) reverses direction and rises,
Equation of motion
The time t is 0.25223 seconds.
The acceleration which is gained by an object because of gravitational force is called its acceleration due to gravity. Its SI unit is m/s2. Acceleration due to gravity is a vector, which means it has both a magnitude and a direction. The acceleration due to gravity at the surface of Earth is represented by the letter g. It has a standard value defined as 9.80665 m/s2.[ However, the actual acceleration of a body in free fall varies with location. (Wikipedia)
Answer:
691 m
Explanation:
In these problems the time a ball is in the air is determined by the gravitational acceleration (y-coordinate) and the distance it travels is related to the velocity in the x-coordinate.
First get the x and y components of the initial speed.
Initial speed has a magnitude of 125 and a direction of 30°
speed in x = 125 cos 30° = 108.3 m/s
speed in y = 125 sin 30° = 62.5 m/s
The time it takes to the ball to reach the highest height (when the speed in the y-coordinate is 0) is:
0 = 62.5 - 9.8*t
t = 6.38 s
With the time you can calculate the distance travelled in the x-coordinate at a constant speed of 108.3.
d = vt
d = 108.3 * 6.38
d = 691 m
Answer:
(D) 30.6 cm
Explanation:
Given the following data;
Measurement A = 18.425 cm
Measurement B = 7.21 cm
Measurement C = 5.0 cm.
To find the total measurement;
Total measurement = A + B + C
Total measurement = 18.425 + 7.21 + 5
Total measurement = 30.635 cm
However, an additional sum requires that all the numbers have a equal number of decimal points; 1 decimal point for 5.0 would be chosen.
Hence, we would round up the answer to 1 decimal point.
Total measurement = 30.6 cm