8. Two adults and a child want to push a cart in the direction marked x in the Figure. One adult pushes with a force of magnitude |F₁| = 80 N at an angle 0₁ = 45° and the other adult with a force of magnitude |F₂| = 120 N at an angle 02: 60°. (a) Find the magnitude and direction of the smallest force that the child should exert. You can ignore the effects of friction. (b) If the child exerts the minimum force found in part (a), the cart accelerates at 2.5 m/s² in the +x-direction. What is the weight of the cart?

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8. Two adults and a child want to push a cart in the direction marked x in the
Figure. One adult pushes with a force of magnitude |F₁| = 80 N at an angle 0₁ = 45° and
the other adult with a force of magnitude |F₂| = 120 N at an angle 0₂ 60°. (a) Find the
magnitude and direction of the smallest force that the child should exert. You can ignore
the effects of friction. (b) If the child exerts the minimum force found in part (a), the cart
accelerates at 2.5 m/s² in the +x-direction. What is the weight of the cart?
Transcribed Image Text:8. Two adults and a child want to push a cart in the direction marked x in the Figure. One adult pushes with a force of magnitude |F₁| = 80 N at an angle 0₁ = 45° and the other adult with a force of magnitude |F₂| = 120 N at an angle 0₂ 60°. (a) Find the magnitude and direction of the smallest force that the child should exert. You can ignore the effects of friction. (b) If the child exerts the minimum force found in part (a), the cart accelerates at 2.5 m/s² in the +x-direction. What is the weight of the cart?
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