Question

please answer the question,​

Answer 1

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

Number of bullets per second (n) = 10 bullets.

Mass of bullet (m) = 10 g = 0.01 kg.

Velocity of bullet (v) = 500 m/s.

$\huge{\bold{\underline{Explanation:-}}}$

Finding the momentum,

$\large{\bold{P = n(mv)}}$

As "n" bullets are fired per second.

Substituting the values,

$\large{ \implies P = 10 \times 0.01 \times 500}$

$\large{ \implies P = 10 \times 5}$

$\large{\boxed{P = 50 \:N}}$

As we know,

$\large{\large{F = \frac{P}{t}}}$

Taking t = 1 second as 10 bullets are fired per second.

Substituting the values

$\large{ \implies F = \frac{50}{1}}$

$\large{\boxed{F = 50 \: N}}$

Applying Newton's second law

$\large{\bold{F = ma}}$

Substituting the values.

$\large{50 = Ma'}$

M ----> Mass of vechile.

a' -----> Acceleration of the vechile.

Here mass of vechile should be taken,

Mass of vechile = 5 quintals.

Mass of vechile = 5 × 100 kg.

Mass of vechile = 500 kg.

Substituting the values.

$\large{ \implies 50 = 500 \times a'}$

$\large{ \implies a' = \frac{50}{500}}$

$\large{\boxed{a = 0.1 m/s^2}}$

As given the acceleration is a/10 m/s².

Simplifying

$\large{\bold{a' = \frac{a}{10}}}$

Substituting the values,

$\large{ \implies 0.1 = \frac{a}{10}}$

$\large{ \implies a = 0.1 \times 10}$

$\huge{\boxed{\boxed{a = 1}}}$

So,the value of a = 1 for acceleration a = 0.1 m/s².