Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 72.0 N, the second. force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.) the children outside the wagon. the wagon the child in the wagon (b) Draw a free-body diagram, including all forces acting on the system. F₁ F₁ 31 N Ĵ N W W F₂ F₂ (c) Calculate the acceleration in m/s2. (Enter the magnitude.) m/s2 N F₂ 4 F₁ W Î₁ Ĵ (d) What would the acceleration be (in m/s2) if friction were 15.0 N? (Enter the magnitude.) m/s2 F₂

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.37P: A particle of mass m has speed υ = α/x, where x is its displacement. Find the force F(x)...
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Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force
of 72.0 N, the second a force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg.
(a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.)
the children outside the wagon
the wagon
the child in the wagon
(b) Draw a free-body diagram, including all forces acting on the system.
O
F₁
F₁
N
Ĵ
N
W
W
F₂
F₂
(c) Calculate the acceleration in m/s². (Enter the magnitude.)
m/s²
F₁
F₁
N
Ĵ
f
(d) What would the acceleration be (in m/s2) if friction were 15.0 N? (Enter the magnitude.)
m/s2
W
F₂
F₂
Transcribed Image Text:Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 72.0 N, the second a force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.) the children outside the wagon the wagon the child in the wagon (b) Draw a free-body diagram, including all forces acting on the system. O F₁ F₁ N Ĵ N W W F₂ F₂ (c) Calculate the acceleration in m/s². (Enter the magnitude.) m/s² F₁ F₁ N Ĵ f (d) What would the acceleration be (in m/s2) if friction were 15.0 N? (Enter the magnitude.) m/s2 W F₂ F₂
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