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 ...

... dot product between the force (F) and displacement (S) vectors. ... In case of variable force, work done is given by ... F.dS (0,0) Where displacement vector dS = dx î ...

... 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. ...

... 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 ...

... What is the magnitude of the sum of these two vectors? ... are shown various forces acting on the box. ... N acts vertically upwards and frictional force acts backwards ...

... Considering only the gravitational forces among the four objects ...vector of the attractive gravitational force applied by ... is simply the sum of all these vectors: ...

... Since displacement s and force F are vectors, by the definition of scalar (or dot) product, work... 5. Conservative and non-conservative forces: A force is said ...

... n masses (m1, m2, ., mn) located at the position vectors r1, r2 ... The mass m experiences forces : mg downwards and spring restoring force kx upwards. ...