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Two children pull a third child on a snow saucer sled
Chapter 4, Problem 31(choose chapter or problem)
Two children pull a third child on a snow saucer sled exerting forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) as shown from above in Figure 4.36. Find the acceleration of the \(49.00-\mathrm{kg}\) sled and child system. Note that the direction of the frictional force is unspecified; it will be in the opposite direction of the sum of \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) .
Figure \(4.36\) An overhead view of the horizontal forces acting on a child’s snow saucer sled.
Questions & Answers
QUESTION:
Two children pull a third child on a snow saucer sled exerting forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) as shown from above in Figure 4.36. Find the acceleration of the \(49.00-\mathrm{kg}\) sled and child system. Note that the direction of the frictional force is unspecified; it will be in the opposite direction of the sum of \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) .
Figure \(4.36\) An overhead view of the horizontal forces acting on a child’s snow saucer sled.
ANSWER:Step 1 of 6
Given data:
The sled child system has a mass of 49.00 kg. The diagram is given as,
Step 2 of 6
Force in the x direction is:
\({F_x} = {F_1}\cos 45^\circ + {F_2}\cos 30^\circ \)
Substitute the values in the above expression, and we get,
\({F_x} = 10\cos 45^\circ + 8\cos 30^\circ \)
\({F_x} = 14\;{\rm{N}}\)