A 30-g bullet traveling horizontally at 300 m/s strikes a 1.0-kg block which is attached to a horizontal spring with a force constant of 2000 N/m and rests on a frictionless horizontal surface
The spring is on the far side of the block and aligned with the direction of travel of the bullet. The bullet becomes embedded in the block and, as a result of the impact, and the block slides against the spring. How far is the spring compressed before it reverses its direction of travel?
A)
0.20 m
B)
0.58 m
C)
1.2 m
D)
0.40 m
E)
0.039 m
A
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The distance a freely falling bowling ball falls each second
A) is about 5 m. B) is about 10 m. C) increases. D) none of the above
The electric field along the axis of a ring-shaped charge of total charge Q distributed uniformly is given by E = Qx/(4? ?0 (x2+ a2)3/2 )
where a is the radius of the ring and x is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At what position is the electric field a maximum for positive values of x?
What is stream channel geometry?
A) The change in elevation of a stream. B) The shape of a stream channel as seen on a map. C) The amount of turbulence and laminar flow in a stream. D) The cross-sectional area and cross-sectional shape of a stream channel.
The instruction manual for a hot-wire anemometer states that ‘roughly speaking, the current varies as the one-fourth power of the average velocity at a fixed wire resistance’. Check this statement, using the heat transfer characteristics of thin wire in air and water.
GIVEN • A thin current carrying wire in an air or water stream FIND • Show that the current (I) varies as the one-fourth power of the fluid velocity (V?) at a fixed resistance (ReI) ASSUMPTIONS • Radiative heat transfer is negligible