You are hunting and have just fired a shot with a shotgun at a grouse in horizontal flight above you. Consider both the hail charge and the grouse as point masses that are at all times in a vertical xy-plane (see the figure below). The grouse has a mass of 0.5 kg, while the hail charge has a mass of 0.025 kg. Assume that the hail charge hits the grouse at time = t 0, exactly the moment the grouse reaches the yak at a height of 20m (that is, the grouse's position is then given at 0m = x and 20m = y). After the grouse is hit, the grouse and the hail charge continue as one object. Immediately before the hail charge hits the grouse, the hail charge has a velocity vector v = 200i + 300j (designation ms ^ -1), while the grouse has a velocity vector vr = −10i (designation ms ^ -1). Ignore air resistance. question Where will the grouse fall down (on the x-axis)? Justify the answer.
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).
You are hunting and have just fired a shot with a shotgun at a grouse in horizontal flight above you. Consider both the hail charge and the grouse as point masses that are at all times in a vertical xy-plane (see the figure below). The grouse has a mass of 0.5 kg, while the hail charge has a mass of 0.025 kg.
Assume that the hail charge hits the grouse at time = t 0, exactly the moment the grouse reaches the yak at a height of 20m (that is, the grouse's position is then given at 0m = x and 20m = y). After the grouse is hit, the grouse and the hail charge continue as one object.
Immediately before the hail charge hits the grouse, the hail charge has a velocity vector v = 200i + 300j (designation ms ^ -1), while the grouse has a velocity vector vr = −10i (designation ms ^ -1). Ignore air resistance.
question
Where will the grouse fall down (on the x-axis)?
Justify the answer.
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