A skater with mass 65 kg is skating on a horizontal surface at a constant speed. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). The height of the ramp is 1.9 m. Answer the following 5 questions. In this problem, set the reference point of the height at the horizontal surface, and use g = 9.8 m/s2 for the acceleration due to gravity. Ignore air resistance and friction unless otherwise stated. (a) What is the gravitational potential energy the skater has at the top of the ramp? (b) What is the speed of the skater right before going onto the ramp?
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 skater with mass 65 kg is skating on a horizontal surface at a constant speed. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). The height of the ramp is 1.9 m. Answer the following 5 questions. In this problem, set the reference point of the height at the horizontal surface, and use g = 9.8 m/s2 for the acceleration due to gravity. Ignore air resistance and friction unless otherwise stated.
(a) What is the gravitational potential energy the skater has at the top of the ramp?
(b) What is the speed of the skater right before going onto the ramp?
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