Question

A rifle with a weight of 35 N fires a 5.1-g bullet with a speed of 230 m/s. (a) Find the recoil speed of the rifle. 0.32844 m/s (b) If a 675-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. Incorrect: Your answer is incorrect.

Answer 1

Answer:

0.32877 m/s

0.0162 m/s

Explanation:

$m_1=\frac{35}{9.81}$ = Mass of rifle

$m_2$ = Mass of bullet = 0.0051 kg

$v_2$ = Speed of bullet = 230 m/s

$m_1v_1=m_2v_2\\\Rightarrow v_1=\frac{m_2v_2}{m_1}\\\Rightarrow v_1=\frac{0.0051\times 230}{\frac{35}{9.81}}\\\Rightarrow v_1=0.32877\ m/s$

Speed of rifle is 0.32877 m/s

$m_3v_3=m_2v_2\\\Rightarrow v_3=\frac{m_2v_2}{m_3}\\\Rightarrow v_3=\frac{0.0051\times 230}{\frac{35+675}{9.81}}\\\Rightarrow v_3=0.0162\ m/s$

Speed of rifle and man 0.0162 m/s