A cylinder of radius R and mass M rolls without slipping down a plane inclined at an angle ? above horizontal
(a) What is the torque about the point of contact with the plane?
(b) What is the moment of inertia about the point of contact?
(c) What is the linear speed of the cylinder t seconds after it is released from rest?
(a) MgR sin θ
(b) 3MR2 / 2
(c) g t sin θ
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The heating coil of a hot water heater has a resistance of 17 ? and operates at 300 V. How long a time is required to raise the temperature of 115 kg of water from 18°C to 75°C? (The specific heat for water = 103 cal/kg?°C and 1.0 cal = 4.186 J)
a. 1.5 h b. 1.9 h c. 0.45 h d. 1.4 h e. 0.50 h
Compared to the total energy available to support life on Earth, the total energy available to support life in a Europan ocean would be
A) about the same B) much larger C) slightly larger D) much smaller
What is the average power dissipation in a series RC circuit if R = 5.00 k?, C = 2.00 ?F, and V = 170 cos (300t)?
a. 0.930 W b. 2.60 W c. 28.2 W d. 157 W e. 5.20 W
A cubic container 20 cm on a side is filled with water. What is the mass of the water?