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# img078 - 44531 44531 15 16 17 18 19 20 A uniform ladder in...

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Unformatted text preview: 44531 44531 15. 16. 17. 18. 19. 20. A uniform ladder in static equilibrium leans against a frictionless wall (see ﬁgure). The ladder has length L and mass M. Given that the angle between the ladder and floor is 30°, what would be the minimum value of the coelﬁcient of static Ladder friction (us) between the ladder and the ground? I @087 (2) 0.99 (3) 0.40 (4) 0.58 (5) 0.90 A 10.0 g bullet is ﬁred horizontally into a 108 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 152 N m. The other end of the horizontal spring is attached to an immovable wall. The bullet becomes embedded in the lock. If the bullet-block system compresses the spring by a maximum of 86.0 cm, what was the speed of the bullet at impact with the block? (1) 303 m/s (2) 808 m/s @364 m/s (4) 266 m/s (5) 404 m/s What would be the gravitational force of attraction between the proton in the nucleus and the electron in an orbit of radius 5.3 x 10‘11 m in a simple hydrogen atom? (G = 6.67 x 10‘3Nm2kg—2; proton mass = 1.67 x 10‘27kg; electron mass = 9.11 x 10-31kg) (1) 8.2 X 10‘8 N (2) 6.1 x 10‘28 N (3) 2.0 x 10‘57 N (4) There is no gravitational attraction @36 x 10‘47 N A meter stick is supported at each end by a spring scale. A heavy mass is then hung on the meter stick so that the spring scale on the left hand side reads four times the value of the spring scale on the right hand side. If the mass of the meter stick is negligible compared to the hanging mass, how far from the right hand side is the large mass hanging? (1) 25 cm (2) 67 cm @ 80 cm (4) 75 cm (5) 50 cm A Hooke’s law spring is compressed a distance d and is used to launch a particle of mass m vertically to a height h above its starting position. Under double the compression, the spring is now used to launch a particle of mass 2171.. How high does the second mass rise above its starting position? (1) 11/2 (2) 4h @ 2h (4) 3h (5) h One end of a uniform 8.0 m long rod of weight w is supported by a cable. The other end rests against the wall at point A, where it is held by friction (see ﬁgure). The coefﬁcient of static friction between the wall and the rod is as = 0.50. Determine the minimum distance, :r, from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. (1) 2.1 m (2) 3.9 m (3) 0.50 m .50 m (5’) 7.8 m ...
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