A machine gun is mounted on a 2800 kg vehicle on a horizontal smooth rod (negligible friction). The gun fires 10 bullets per sec with a velocity of 200 m / s. If the mass of each bullet is 50 g. What is the acceleration produced in the vehicle?

Question

A machine gun is mounted on a 2800 kg vehicle on a horizontal smooth rod (negligible friction). The gun fires 10 bullets per sec with a velocity of 200 m / s. If the mass of each bullet is 50 g. What is the acceleration produced in the vehicle? (A) 3.5 cm / s 2 (B) 4 cm / s 2 (C) 5.2 cm / s 2 (D) 4.9 cm / s 2

Tardigrade Admin · Accepted Answer

Momentum of each bullets = Mv =50 × 10-3 × 200 =10 kg m / s F =( nP / t )=(10 × 10/1)=100 N ( text time =1 sec ) Force = ma a=(100/2800) a=0.035=3.5 cm / s 2

Q. A machine gun is mounted on a $2800 k g$ vehicle on a horizontal smooth rod (negligible friction). The gun fires 10 bullets per sec with a velocity of $200 m / s$ . If the mass of each bullet is $50 g$ . What is the acceleration produced in the vehicle?

$3.5 c m / s^{2}$

$4 c m / s^{2}$

$5.2 c m / s^{2}$

$4.9 c m / s^{2}$

Momentum of each bullets $= M v$
$= 50 \times 1 0^{- 3} \times 200$
$= 10 k g m / s$
$F = \frac{n P}{t} = \frac{10 \times 10}{1} = 100 N (time = 1 sec)$
Force $= ma$
$a = \frac{100}{2800}$
$a = 0.035 = 3.5 c m / s^{2}$

Q. A machine gun is mounted on a 2800kg vehicle on a horizontal smooth rod (negligible friction). The gun fires 10 bullets per sec with a velocity of 200m/s. If the mass of each bullet is 50g. What is the acceleration produced in the vehicle?

3.5cm/s2

4cm/s2

5.2cm/s2

4.9cm/s2