A child is sitting in a wagon at the top of a hill. The mass of the child and wagon together is 40.0 kg. The wagon is given a slight push and rolls 70.0 m down a 8.00° incline to the bottom of the hill. What is the wagon's speed when it reaches the bottom of the hill? Assume that the retarding force of friction is negligible.

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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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Chapter5: Energy
Section: Chapter Questions
Problem 92AP: Two blocks, A and B (with mass 50.0 kg and 1.00 102 kg, respectively), are connected by a string,...
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A child is sitting in a wagon at the top of a hill. The mass of the child and wagon together is
40.0 kg. The wagon is given a slight push and rolls 70.0 m down a 8.00° incline to the
bottom of the hill. What is the wagon's speed when it reaches the bottom of the hill?
Assume that the retarding force of friction is negligible.
dW = F - df = F||d7|
Work done by a force over an infinitesimal displacement
cos 0
%3D
/ F. di
WAB =
Work done by a force acting along a path from A to B
pathAB
Work done by a constant force of kinetic friction
Wir = -fk |lAB|
Work done going from A to B by Earth's gravity, near its surface
Wgrav, AB = -mg (yB – YA)
Work done going from A to B by one-dimensional spring force
Wspring. AB = - (k) (x² – x²)
= }mv² =
p?
2m
Kinetic energy of a non-relativistic particle
K =
Work-energy theorem
Wnet = KB – KA
dW
Power as rate of doing work
P :
dt
Power as the dot product of force and velocity
P = F.V
Transcribed Image Text:A child is sitting in a wagon at the top of a hill. The mass of the child and wagon together is 40.0 kg. The wagon is given a slight push and rolls 70.0 m down a 8.00° incline to the bottom of the hill. What is the wagon's speed when it reaches the bottom of the hill? Assume that the retarding force of friction is negligible. dW = F - df = F||d7| Work done by a force over an infinitesimal displacement cos 0 %3D / F. di WAB = Work done by a force acting along a path from A to B pathAB Work done by a constant force of kinetic friction Wir = -fk |lAB| Work done going from A to B by Earth's gravity, near its surface Wgrav, AB = -mg (yB – YA) Work done going from A to B by one-dimensional spring force Wspring. AB = - (k) (x² – x²) = }mv² = p? 2m Kinetic energy of a non-relativistic particle K = Work-energy theorem Wnet = KB – KA dW Power as rate of doing work P : dt Power as the dot product of force and velocity P = F.V
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