Answer:
Explanation:
Given that,
A point charge is placed between two charges
Q1 = 4 μC
Q2 = -1 μC
Distance between the two charges is 1m
We want to find the point when the electric field will be zero.
Electric field can be calculated using
E = kQ/r²
Let the point charge be at a distance x from the first charge Q1, then, it will be at 1 -x from the second charge.
Then, the magnitude of the electric at point x is zero.
E = kQ1 / r² + kQ2 / r²
0 = kQ1 / x² - kQ2 / (1-x)²
kQ1 / x² = kQ2 / (1-x)²
Divide through by k
Q1 / x² = Q2 / (1-x)²
4μ / x² = 1μ / (1 - x)²
Divide through by μ
4 / x² = 1 / (1-x)²
Cross multiply
4(1-x)² = x²
4(1-2x+x²) = x²
4 - 8x + 4x² = x²
4x² - 8x + 4 - x² = 0
3x² - 8x + 4 = 0
Check attachment for solution of quadratic equation
We found that,
x = 2m or x = ⅔m
So, the electric field will be zero if placed ⅔m from point charge A, OR ⅓m from point charge B.
The product of √30 and √610 is 10√183.
√30 = √(2×3×5)
and √610 = √(2×5×61
Since 61 can't be factorised further.
Therefore, the value of √30×√610 is
= √(2×3×5×2×5×61)
= 2×5×√(3×61)
=10√183
a) A charged particle accelerates as it moves from location A to location B. If V A = 170 V and V B = 210 V, what is the sign of the charged particle? positive negative (b) A proton gains electric potential energy as it moves from point 1 to point 2.
Physics
Two identical point charges are fixed to diagonally opposite corners of a square that is 1.5 m on a side. Each charge is +2.0 µC. How much work is done by the electric force as one of the charges moves to an empty corner? I have W(fe)= -EPE=-q[V(f)-V(i)].
physics
Two point charges are placed on the x axis. (Figure 1) The first charge, q1 = 8.00nC , is placed a distance 16.0m from the origin along the positive x axis; the second charge, q2 = 6.00nC , is placed a distance 9.00m from the origin along the negative x
Answer:
4.09 kgm/s
Explanation:
Concept tested: Second Newton's law of motion
So what does the second Newton's law of motion state?
- According to the second Newton's law of motion, the resultant force and the rate of change of momentum are directly proportional.
- That is;
, where, mVf is the final momentum and mVo is the initial momentum.
In this case;
- Force = 12.8 N
- Initial momentum, mVo = 1.3 kgm/s
- Time, t = 0.218 seconds
Therefore; replacing the values of the variables in the formula;
we get;



Solving for final momentum;

= 4.09 kgm/s
Therefore, the final momentum of the box is 4.09 kgm/s
Answer:


Explanation:
Complete statement of the question is
A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; the same muscle under maximum tension requires a force of 500 N for the same elongation. Find Young's modulus (Pa) for the muscle tissue under each of these conditions .The muscle is assumed to be a uniform cylinder with length 0.200 m and cross-sectional area 50.0 cm^2.
For relaxed muscle :
= force required = 25 N
= Normal length = 0.2 m = 20 cm
= elongation in length = 3 cm
= Area of cross-section = 50 cm² = 50 x 10⁻⁴ m²
= Young's modulus for the muscle
Young's modulus is given as

Under maximum tension :
= force required = 500 N
= Normal length = 0.2 m = 20 cm
= elongation in length = 3 cm
= Area of cross-section = 50 cm² = 50 x 10⁻⁴ m²
= Young's modulus for the muscle
Young's modulus is given as
