Question 1

A projectile launcher has a mass of 3 kg. It fires a projectile of mass 0.08 kghorizontally at a speed of 300 m/s.What is the total momentum of the system after the projectile is fired? What is the recoil velocity of the launcher ?

Question 2

$\begin{gathered} For\text{ launcher} \\ m_L=3\operatorname{kg} \\ v_1=0\text{ m/s} \\ \text{For }projectile \\ m_P=0.08\operatorname{kg} \\ v_(P1)=\text{ 0 m/s} \\ v_(P2)=300\text{ m/s} \\ Total\text{ momentum before projectile is fired } \\ P_1=0 \\ \text{ because the system has velocity of o m/s} \\ Total\text{ momentum after projectile is fired} \\ P_2=P_1=0,\text{ beacuse of energy is constant, then} \\ \text{The momentum after projectile is fired is 0} \\ \\ For\text{ recoil velocity of the launcher }v_(L2) \\ P_2=P_1 \\ P_2=m_L\cdot v_(L2)+m_P\cdot v_(P2) \\ P_1=0 \\ m_L\cdot v_(L2)+m_P\cdot v_(P2)=0 \\ \text{Solving reco}il\text{ velocity of the launcher} \\ m_L\cdot v_(L2)=-m_P\cdot v_(P2) \\ v_(L2)=-(m_P\cdot v_(P2))/(m_L) \\ v_(L2)=-\frac{(0.08kg)_{}\cdot(300\text{ m/s})_{}}{3\operatorname{kg}_{}} \\ v_(L2)=-8\text{ m/s} \\ \text{The recoil velocity of the launcher is 8m/s. The negative means the velocity is opposite of} \\ \text{the velocity of the projectile} \end{gathered}$

A projectile launcher has a mass of 3 kg. It fires a projectile of mass 0.08 kghorizontally-example-1

A projectile launcher has a mass of 3 kg. It fires a projectile of mass 0.08 kghorizontally-example-2

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