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A mass m at the end of a spring vibrates with a frequency of 0.90 Hz. When an additional 520-g mass is added to m, the frequency is 0.50 Hz.
a) What is the value of m?
b) Calculate the total mass needed for the system to vibrate with a freq. of 0.45 Hz.
A car of mass 1000 kg had its springs compressed vertically by 2.6 cm when a driver of mass 62 kg climbed into it. If damping is ignored what is the frequency of vibration when the car hits a bump while driving?
A heat engine produces 30, 000 J of mechanical work per second of operation. If its efficiency is 20% how much heat is discharged from this engine per second?
A 22 g block of ice is cooled to −68◦C. It is added to 521g of water in an 67g copper calorimeter at a temperature of 21◦C.
Find the final temperature. The specific heat of copper is 387 J/kg ·◦C and of ice is 2090 J/kg ·◦C . The latent heat of fusion of water is 3.33 × 105 J/kg and its specific heat is4186J/kg·◦C.
Answer in units of ◦C.
The brick wall (of thermal conductivity 0.86 W/m ·◦ C) of a building has dimensions of 3.7m by 16m and is13cm thick.
How much heat flows through the wall in a 17.4 h period when the average inside and outside temperatures are, respectively, 9 ◦C and 8◦C?
Answer in units of MJ.
Three liquids are at temperatures of 13◦C, 19◦C, and 31◦C, respectively. Equal masses of the first two liquids are mixed, and the equi- librium temperature is 16◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 24.3◦C.
Find the equilibrium temperature when equal masses of the first and third are mixed.
Answer in units of ◦C.
