Ablock of aluminum at a temperature of t1 = 32 degrees c has a mass of m1 = 12 kg. it is brought into contact with another block of aluminum with a mass of m2 = 0.5m1, at a temperature of t2 = 9 degrees c. this aluminum has a heat capacity of c = 899 j/kg k.

A2 µc charge q1 and a 2 µc charge q2 are 0.3 m from the x-axis. a 4 µc charge q3 is 0.4 m from the y-axis. the distances d13 and d23 are 0.5 m. find the magnitude and direction of the resulting vector r. round your answer to the nearest tenth.

Astudent pushes on a 20.0 kg box with a force of 50 n at an angle of 30° below the horizontal. the box accelerates at a rate of 0.5 m/s2 across a horizontal floor. what is the value of the normal force on the box? 200 n 243 n 156 n 225 n

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg. how much energy e must be supplied to the device? express your answer in joules.