Question

it's pyhsics and the option is c 35​

Answer 1

Hope this helps !!

All The Best !!

Please mark me as BRAINLIEST if you find this answer the best !!

Feel free to report my answer if it is wrong !!

Answer 2

Answer:

• Number of bullets (n) Fired per second is 36.

Given:

1. Mass of Bullet (m) = 5 grams.
2. Average Force (F) = 180 N.
3. Velocity of bullet (v) = 1000 m/s.

Explanation:

$\rule{300}{1.5}$

From the Formula we have,

$\large\bigstar \: {\boxed{\tt F = n \Bigg[\dfrac{\Delta P}{\Delta t}\Bigg]}}$

$\bold{Here}\begin{cases}\text{n Denotes Number of Bullets} \\ \Delta P \text{ Denotes Momentum} \\ \Delta t \text{ Denotes Time taken}\end{cases}$

Note:-

• Here we took n before rate of change in momentum because Many bullets are fired per second.

Now,

$\large{\boxed{\tt F = n \Bigg[\dfrac{\Delta P}{\Delta t}\Bigg]}}$

Substituting the values,

$\large{\tt \longmapsto 180 = n \times \dfrac{mv}{\Delta t}}$

∵ [ΔP = mv]

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \: g \times 1000 \: m/s}{\Delta t}}$

We need to Convert grams into Kilograms.

∵ [1 gram = 10⁻³ Kg]

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \times 10^{-3} \: Kg \times 1000 \: m/s}{\Delta t}}$

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \times 10^{-3} \times 1000}{\Delta t}}$

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \times 10^{-3} \times 10^3}{\Delta t}}$

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \times \cancel{10^{-3}} \times \cancel{10^3}}{\Delta t}}$

$\large{\tt \longmapsto 180 = n \times \dfrac{5 \times 1}{\Delta t}}$

$\large{\tt \longmapsto 180 = n \times \dfrac{5}{\Delta t}}$

Since We need to Find Bullets Fired per Second. Then the Time taken I.e. Δt = 1 second.

$\large{\tt \longmapsto 180 = n \times \dfrac{5}{1}}$

$\large{\tt \longmapsto 180 = 5 \times n}$

$\large{\tt \longmapsto n = \dfrac{180}{5}}$

$\large{\tt \longmapsto n = \cancel{\dfrac{180}{5}}}$

$\large\longmapsto{\underline{\boxed{\red{\tt n = 36 \: Bullets}}}}$

∴ Number of bullets (n) Fired per second is 36 Bullets.

$\rule{300}{1.5}$