To move a large crate across a rough floor, you push on it with a force F at an

Question

To move a large crate across a rough floor, you push on it with a force F at an angle of 21 degree below the horizontal, as shown in the figure. Find the force necessary to start the crate moving, given that the mass of the crate is m = 36 kg and the coefficient of static friction between the crate and the floor is 0.60. N To move a large crate across a rough floor, you push on it with a force F at an angle of 21 degree , below the horizontal, as shown in the figure. Find the acceleration of the crate, given that the mass of the crate is m = 28 kg, the applied force is 340 N and the coefficient of kinetic friction between the crate and the floor is 0.59. m/s2 When you take your 1300-kg car out for a spin, you go around a corner of radius 60.1 m with a speed of 14.0 m/s. The coefficient of static friction between the car and the road is 0.92. Assuming your car doesn't skid, what is the force exerted on it by static friction? kN Find the linear speed that the bottom of a test tube must have in a centrifuge if the centripetal acceleration there is to be 51480 times the acceleration of gravity. The distance from the axis of rotation to the bottom of the test tube is 7.7 cm. km/s

Explanation / Answer

Fcostheta = us*N = us*(mg + Fsintheta)

F*cos21 - 0.6*F*sin21 = 0.6*36*9.8

F = 294.5 N

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Fnet = F*cos21 - uk*(mg + Fsin21)

Fnet = 83.6 N

a = Fnet/m = 2.98 m/s^2

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F = u*m*g = m*v^2/r = 0.92*1300*9.8 = 11.720 kN

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a = v^2/r = 51480*9.8

v = 197.09 m/s

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