A 0.50-kg object is attached to an ideal spring of spring constant (force constant) 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.
At what distance from the equilibrium position are the kinetic energy and potential energy of the system the same? A) 0.017 m
B) 0.029 m
C) 0.12 m
D) 0.17 m
Question 2
A 400-g stainless steel tea kettle containing 500 g of water is on the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m2 and is 2.0 mm thick.
At a certain moment, the temperature of the water is 75C, and it is rising at the rate of 3.0C per minute. What is the difference in temperature between the inside and the outside of the bottom of the tea kettle? Assume that the inner surface of the kettle is at the same temperature as the water inside. The thermal conductivity of stainless steel is 16.3 W/m K, the specific heat of the steel is 448 J/kg K, and the specific heat of water is 4186 J/kg K. A) 2.2C
B) 1.5C
C) 1.1C
D) 0.50C
E) 0.15C
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