11. You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 2.0° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?

21. A forcevector F1 points due east and has a magnitude of 200 newtons. A second force F2 is added to F1. The resultant of the two vectors has a magnitude of 400 newtons and points along the east/west line. Find the magnitude and direction of F2. Note that there are two answers.

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... Where θ is the angle between the vectors. ... is zero, the power generated by the normal force is zero ... In general we can say that forces that are perpendicular to ...

... So a force that acts on a body and moves it such that the displacement vector has a non-zero component along the force vector does a work W on it. ...

... If q3>0, then the force F is directed away from ... This job embodies electric forces, field and potentials. ... Where α1 and α2 are angles between vectors E1 and E2 ...

... Thus the force = dP/dt = 3.944/2 = 1.972 N. ... object of mass m undergoes a one-dimensional impulse vector J, with ...work done W = F. dS where F and dS are vectors. ...

Work done by force field. ... The solution shows detailed calculation of the work done by force field along the line segment and helix by line integral. ...

... Various forces acting on the book are shown in the fig.. ... which is the same thing as W = Fs the dot product of the force vector and displacement vector). ...

... Gravitational force exerted by the Moon on the spacecraft. ... sits on equilateral triangle so angle between these forces is 600, pictorially the vector sum is ...

... By definition, work done (W) in moving the charge from initial to the final position is the dot product of the force vector and displacement vector. ...

... that the scalar product of the two vectors is given by ... b) Forces acting on the cylinder are shown in the ... Net force on the cylinder down the plane = Ma = Mgsinθ ...