A boy and a girl are balanced on a massless seesaw. The boy has a mass of 60 kg and the girl's mass is 50 kg. If the boy sits 1.5 m from the pivot point on one side of the seesaw, where must the girl sit on the other side for equilibrium?
A) 3.0 m
B) 1.3 m
C) 2.5 m
D) 1.8 m
E) 1.2 m
D
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Buoyancy: A spherical ball of lead (density 11.3 g/cm3) is placed in a tub of mercury (density 13.6 g/cm3). Which answer best describes the result?
A. The lead ball will float with about 83% of its volume above the surface of the mercury. B. The lead ball will float with its top exactly even with the surface of the mercury. C. The lead ball will float with about 17% of its volume above the surface of the mercury. D. The lead will sink to the bottom of the mercury.
A long solenoid (diameter = 5.0 cm) is wound with 960 turns per meter of thin wire through which a current of 300 mA is maintained. A wire carrying 12 A is inserted along the axis of the solenoid. What is the magnitude of the magnetic field at a point 2.0 cm from the axis?
A. 0.41 mT B. 0.48 mT C. 0.38 mT D. 0.56 mT E. 0.24 mT
An astronaut is on a 100-m lifeline outside a spaceship, circling the ship with an angular speed of 0.100 rad/s. How far inward can she be pulled before the centripetal acceleration reaches 4g = 39.2 m/s2?
a. 50.0 m c. 72.7 m b. 70.6 m d. 89.9 m
A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is the rotational inertia (moment of inertia) of the sphere about an axis passing through its center?
A) 0.15 kg?m2 B) 0.24 kg?m2 C) 0.13 kg?m2 D) 0.17 kg?m2 E) 0.19 kg?m2