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kiruha [24]
3 years ago
6

If a bullet loses 1/nth of its velocity while passing through a plank,then no of planks required to stop the bullet is?

Physics
1 answer:
Novay_Z [31]3 years ago
8 0
Based on the answer provided, it seems the writer wanted you to assume that the energy loss per plank is constant. This is not the same as the bullet losing <span><span>1/nth</span><span>1/nth</span></span><span> of its velocity per plank (however, the fact that the question does not mention this assumption arguably makes the question ambiguous).

</span><span>With this assumption, the energy loss becomes
</span><span>
ΔE = <span>1/2 </span>m<span>v2 </span>− <span>1/2 </span>m <span><span>(<span>v−<span>v/n</span></span>) </span><span>2
</span></span></span>
and the number of planks <span>NN</span><span> becomes
</span>
N = <span><span><span>1/2</span>m<span>v2 /</span></span><span>ΔE </span></span>= <span><span>n2/ </span><span>2n−1
</span></span>
Otherwise, if you assume that the bullet loses <span><span>1/<span>nth</span></span><span>1/<span>nth</span></span></span><span> of its velocity per plank, then the answer is </span><span><span>N=∞</span></span><span><span>

</span>
</span>
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Four identical charges, Q, occupy the corners of a square with sides of length a. A fifth charge, q, can be placed at any desire
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Answer:

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Explanation:

Given:

- Side of each square L = a

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Solution:

- Compute distance r  from charge Q to q i.e center of all four charges Q:

                          r = 0.5*sqrt ( a^2 + a^2 )

                          r = a / 2sqrt(2)

- Compute the individual Electrostatic forces @ point A:

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                          F_c = k*Q^2 / (a*sqrt(2))^2 = k*Q^2 / 2*a^2

                          F = k*Q*q / (a / 2sqrt(2))^2 = 2*k*Q^2 / a^2

- Use Electrostatic Equilibrium conditions:

                          F_b + F_c*cos(45) = F*cos(45)

                          F_d + F_c*sin(45) = F*sin(45)

- Plug in the values and equate:

                          { (Q/a)^2 + (Q^2 / 2*a^2*sqrt(2)) = sqrt(2)*Q*q / a^2

- Canceling all k's and a^2:

                          Q * ( 1 + (1 /2*sqrt(2)) ) =  sqrt(2)*q

                          q = - ( 2*sqrt(2) + 1 )*Q / 4

- Note: In attachment Q's and q's are interchange but the solution here provided is according to the question at hand.

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