Mathematics, 11.05.2021 23:10 elijahedgar876
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j.
Answers: 2
![\vec F = (27.189,12.679)\,[lbf]](/tpl/images/1317/4742/7e15e.png)
![\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]](/tpl/images/1317/4742/e0a8f.png)
), in pounds-force, can be modelled in two forms:
(1)
(2)
- Norm of the vector force, in newtons.
- Direction of the vector force with regard to the horizontal, in sexagesimal degrees.
, 
- Orthogonal axes, no unit.
and 
, then the force exerted on the wagon is:![\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]](/tpl/images/1317/4742/64fa4.png)
![\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]](/tpl/images/1317/4742/1e952.png)
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Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerte...
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