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5. Annie drags her little red wagon with a mass of 5.00 kg, up a hill that has an angle of
elevation of 30.09. She applies the force of 150 N parallel to the incline. Assume that
the wagon starts from rest at the bottom of the hill, and neglect friction (4 points)
a) What is the value of the acceleration of the wagon?

Answer :

Answer: [tex]25.08\ m/s^2[/tex]

Explanation:

Given

mass of wagon m=5 kg

elevation

[tex]\theta =30.9^{\circ}\\F=150\ N[/tex]

Sin component of weight will oppose the applied force therefore we can write

[tex]F-W\sin \theta=ma\\where\\W=weight(mg)\\a=acceleration[/tex]

[tex]150-5\times 9.8\times \sin (30.09)^{\circ}=5\times a\\125.43=5a\\a=25.08\ m/s^2[/tex]

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