A military gun is mounted on a railroad car (mc = 1870 kg) . There is no frictional force on the car, the track is horizontal, and the car is initially at rest. The gun then fires a shell of mass ms with a velocity of 270 m/s at an angle of 29° with respect to the horizontal. After the shell is fired, the railroad car recoils on the track with a velocity of -6 m/s. Find the mass of the shell.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
A military gun is mounted on a railroad car (mc = 1870 kg) . There is no frictional force on the car, the track is horizontal, and the car is initially at rest. The gun then fires a shell of mass ms with a velocity of 270 m/s at an angle of 29° with respect to the horizontal. After the shell is fired, the railroad car recoils on the track with a velocity of -6 m/s. Find the mass of the shell.
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