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 ...

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... 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 ...

... If the force on an object is zero then the object ... by a scalar multiplies each of the vector's components by ... When we add (or subtract vectors) we subtract them ...

... if you're doing a problem that uses vectors, velocity) is ... to worry about your 20 kg mass to find your forces. ... that the mass will feel twice the force that you ...

... 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. ...