Brick slides down an incline speed
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The diagrams in Figure 9-13 show a brick weighing 24.8 N being released from rest on a 1.00 m frictionless plane, inclined at an angle of 30.0°. The brick slides down the incline and strikes a second brick weighing 37.4 N.
Figure 9-13
(a) Calculate the speed of the first brick at the bottom of the incline.
m/s
(b) If the two bricks stick together, with what initial speed will they move along?
m/s
(c) If the force of friction acting on the two bricks is 5.0 N, how much time will elapse before the bricks come to rest?
s
(d) How far will the two bricks slide before coming to rest?
m
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Solution Summary
The brick slides down an incline speed is examined. How far the two bricks will slide before coming to rest are determined.
Solution Preview
) Loss of potential energy of brick 1 = (mg)h = 24.8x0.5 = 12.4 J
As the inclined plane is frictionless, no amount of mechanical energy of brick 1 is lost. Whole of the potential energy is converted into kinetic energy. Hence,
½ mv12 = 12.4 where m = mass of the brick 1 = 24.8/9.8 = 2.53 kg
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