A person stands on a bathroom scale in a motionless elevator. Whenthe elevator b

Question

A person stands on a bathroom scale in a motionless elevator. Whenthe elevator begins to move, the scale briefly reads only 0.72 ofthe person's regular weight. Calculate the magnitude of theacceleration of the elevator. m/s2





. To move a large crate across a rough floor, you pushdown on it at an angle of 24°, as shown in the figure. Find theforce necessary to start the crate moving, given that the mass ofthe crate is m = 36 kg and the coefficient of staticfriction between the crate and the floor is 0.52.
N

Explanation / Answer

Problem 2 By pushing slightly downward, you have increased the normalforce. the new normal force is: Fn=Weight+Fsin24 Fn=(36)(9.8)+Fsin24 Now we know that in order to start moving the crate, we need theforward force to be just enough to overcome friction, so their summust be zero: Fcos24 - friction= 0 Fcos24 = friction= Fn Fcos24 = [(36*9.8) + Fsin24] After some isolating the F on one side: F= 36(9.8)/[cos24 - sin24] = 204.96N

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