1. a metal ball with mass m1 = 4 kg is heated to a temperature of θ1 = 186.7 degrees celsius, after which it is introduced into a calorimeter of negligible caloric capacity and containing a volume v2 = 6 liters of water at θ2 = 10 degrees celsius. after establishing the equilibrium, the temperature of the system is θ = 20 degrees celsius. neglecting heat losses, the specific heat of the ball is present.

2. a nickel body with mass m1 = 0.8 kg and initial temperature θ1 = 950 degrees celsius is introduced into a vessel with mass m2 = 50 kg water at temperature θ2 = 16 degrees celsius. let the equilibrium temperature be found. losses of any kind are neglected.

There is a theory that indicates that dinosaurs became extinct when about 65 million years ago, a large asteroid hit the earth surface. dust caused by this collision blocked the sunlight reaching the earth's surface and many forms of life became extinct due to the cold. fearing this threat, how large the radius of an asteroid should you be looking for if the dangerous asteroid size is approximately the same as the one that killed the dinosaurs? available data suggests that about 18% of that asteroid's mass ended up as a dust spread evenly over earth after eventually settling out of the upper atmosphere. about 0.0180 g/cm^2 of dust, which is chemically different than the earth's rock, covered the earth's surface. typical asteroids have a density of about 1.9 g/cm^3. now that we know the size of the asteroid, how much energy was released during impact, assuming all of it was just the kinetic energy of the asteroid right before the impact?

Agas is contained in a vertical, frictionless piston–cylinder device. the piston has a mass of 3.2 kg and a cross-sectional area of 35 cm2. a compressed spring above the piston exerts a force of 190 n on the piston. if the atmospheric pressure is 95 kpa, determine the pressure inside the cylinder.

Light from a sodium lamp passes through a diffraction grating that has 1000 slits per millimeter. the interference pattern is viewed on a screen 1.000 m behind the grating. the first (m = 1) two bright yellow fringes that are visible are 0.7288 m and 0.7300 m from the central maximum. what are the wavelengths of these two fringes?