Gerald, with mass m, is standing on a plank of mass m,Both are originally at rest on a frozen lake whose surface is perfectly level. Gerald begins to walk along the plank at'g'to the right relative to the plank. Here, gp represents Gerald relative to the plank. Assume the surface is frictionless. (Use the following as necessary:"p'a constant velocity v,gpand vgp'Note that the subscripts are lowercase. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.)(a) What is the velocity vof the plank relative to the surface of the ice?piVpi(b) What is Gerald's velocity v,relative to the ice surface?gim.:vg 'gp_gigpmUse your relative velocity equation and the result from part (a) to calculate vgi'

Given data: Mass of the Gerald=mg Mass of the plank=mp

Gerald, with mass m, is standing on a plank of mass m,. Both are originally at rest on a frozen lake whose surface is perfectly level. Gerald begins to walk along the plank at a constant velocity van to the right relative to the plank. Here, gp represents Gerald relative to the plank. Assume the surface is frictionless. (Use the following as necessary: m, m,, and vop Note that the subscripts are lowercase. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) (a) What is the velocity va of the plank relative to the surface of the ice? Vpi = (b) What is Gerald's velocity vai relative to the ice surface? "g 'gp Vai = gp Use your relative velocity equation and the result from part (a) to calculate v gi*

Gerald, with mass m, is standing on a plank of mass m,. Both are originally at rest on a frozen lake whose surface is perfectly level. Gerald begins to walk along the plank at a constant velocity van to the right relative to the plank. Here, gp represents Gerald relative to the plank. Assume the surface is frictionless. (Use the following as necessary: m, m,, and vop Note that the subscripts are lowercase. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) (a) What is the velocity va of the plank relative to the surface of the ice? Vpi = (b) What is Gerald's velocity vai relative to the ice surface? "g 'gp Vai = gp Use your relative velocity equation and the result from part (a) to calculate v gi*

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

Gerald, with mass m, is standing on a plank of mass m,
Both are originally at rest on a frozen lake whose surface is perfectly level. Gerald begins to walk along the plank at
'g'
to the right relative to the plank. Here, gp represents Gerald relative to the plank. Assume the surface is frictionless. (Use the following as necessary:
"p'
a constant velocity v,
gp
and v
gp'
Note that the subscripts are lowercase. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.)
(a) What is the velocity v
of the plank relative to the surface of the ice?
pi
Vpi
(b) What is Gerald's velocity v,
relative to the ice surface?
gi
m.:v
g 'gp_
gi
gp
m
Use your relative velocity equation and the result from part (a) to calculate v
gi'

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