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The only two forces acting on a body have magnitudes of 20 N and 38 N and direct

ID: 2233204 • Letter: T

Question

The only two forces acting on a body have magnitudes of 20 N and 38 N and directions that differ by 76degree. The resulting acceleration has a magnitude of 16 m/s2. What is the mass of the body? The surface of the inclined plane shown below is frictionless. If F = 29 N. what is the magnitude of the force exerted on the 3.0-kg block by the 1.8-kg block? A 4.0-kg block slides down a 39degree incline at a constant speed when a 16-N force is applied acting up and parallel to the incline. What is the coefficient of kinetic friction between the block and the surface of the incline? A 60-kg person rides down an icy hill of 19degree slope while standing on a 2.6-kg flat-bottomed bathroom scale. Assume there is no frictional force between the bottom of the scale and the hill. The static friction force the scale exerts on the person is . A 44-kg child rides on a circus Ferris wheel that takes her around a vertical circular path with a radius of 25 m every 26 s. What is the magnitude of the resultant force on the child at the highest point on this trajectory? An object attached to the end of a string swings in a vertical circle (R = 4.2 m), as shown. At an instant when theta = 26degree, the speed of the object is 9.6 m/s and the tension in the string has a magnitude of 72 N. What is the mass of the object?

Explanation / Answer

question 5) m g sin(theta) = F + u m g cos(theta) ===> 4*9.8*sin39 = 16 + u*4*9.8*cos39 --------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> 4*9.8*0.6293 = 16 + u*4*9.8*0.777146 ===> 24.66856 = 16 + u * 30.4641232 --------------------------------------------------------------------------------------------------------------------------------------------------------------- ====> u = 0.285 ---------------------------------------------------------------------------------------------------------------------------------------------------------------

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