A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts down a ramp that makes an angle of 25° below the horizontal
What is the rotational kinetic energy of the hoop after it has rolled 3.0 m down as measured along the surface of the ramp? A) 34 J
B) 22 J
C) 45 J
D) 62 J
E) This question cannot be answered without knowing the radius of the hoop.
C
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A drive shaft resists torsional shear stress of 45 MPa and axial compressive stress of 100 MPa. The maxi- mum shear stress is approximately:
(A) 42 MPa
(B) 67 MPa
(C) 71 MPa
(D) 93 MPa
Consider a scale on which our entire Milky Way Galaxy is about the size (diameter) of a grapefruit. Which of the following best describes the size and distance of the Andromeda Galaxy on the same scale?
A) a grapefruit about 3 meters away B) a grapefruit about 3 centimeters away C) a beach ball about the length of a football field away D) a peanut about 3 centimeters away E) a grapefruit about 3 kilometers away
If n1 is the index of refraction for the incident medium and n2 is the index for the refracting medium, the critical angle will exist
A) in all cases, it will just have different values. B) when n1 < n2. C) when n1 = n2. D) never. E) when n1 > n2.
The most noteworthy event that occurred during the Pleistocene was the
A) emergence of the early humans. B) ice age. C) appearance of the grasslands. D) divergence of horses.