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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.

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Answer:

0.32877 m/s

0.0162 m/s

Explanation:

[tex]m_1=\frac{35}{9.81}[/tex] = Mass of rifle

[tex]m_2[/tex] = Mass of bullet = 0.0051 kg

[tex]v_2[/tex] = Speed of bullet = 230 m/s

[tex]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[/tex]

Speed of rifle is 0.32877 m/s

[tex]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[/tex]

Speed of rifle and man 0.0162 m/s

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