l. A rightward force of 302 N is applied to a 28.6-kg crate to accelerate it acr
ID: 1543020 • Letter: L
Question
l. A rightward force of 302 N is applied to a 28.6-kg crate to accelerate it across the floor. The coefficient of friction between the crate and the floor is 0.750. Determine the acceleration of the crate. 2. A 50 kg person is standing on a bathroom scale in an elevator. What force (in newtons) is indicated by the scale (a) If the elevator is not moving? (b) If the elevator is moving upward at a steady speed of 1.5 m/s? (c) If the elevator is accelerating upward at 2.2 m/s (d) If the rising elevator decreases its speed from 0.50 m/s to 8.0 m/s in 3.0 seconds. 3. Block mi in the figure below has a mass of 6 kg and m2 has a mass of 1.4 kg. The coefficient of kinetic friction between m2 and the horizontal surface is 0.55. The inclined plane is frictionless. m: 0-35 (a) Find the tension in the cord and the acceleration of m1. (b) If the coefficient of static friction is 0.65, what is the minimum mass of block m2 that would prevent the system from moving.Explanation / Answer
1.
Fg = force of gravity = mg = 28.6 x 9.8
Fn = normal force = Fg = 28.6 x 9.8
frictional force is given as
fk = uk Fn = (0.750) ( 28.6 x 9.8 ) = 210.21 N to left
F = applied force = 302 N to right
Net force is given as
Fnet = F - fk = 302 - 210.21 = 91.8 N
we know that , Fnet = ma
91.8 = 28.6 a
a = 3.21 m/s2 to right
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