Ice cubes of total mass 6.00 grams have temperature -4.0°C. Then they are placed in 50.0 grams of water at 20.0°C in an insulated foam cup. What is the equilibrium temperature of the water inside the cup? Assume that
the system is isolated. For water
Lf - 334 kJ/kg
and
2y = 2257 W/kg. The specific heat capacity of ice is 2.05 kJ/kg
°C and for liquid water is 4.19 kJ/kg . °C.

Atrain departs from its station at a constant acceleration of 5 m/s. what is the speed of the train at the end of 20s?

Consider a 1000 w iron whose base plate is made of 0.5 cm thick aluminum alloy 2024-t6 (ρ = 2770 kg/m3 and cp = 875 j/kg°c). the base plate has a surface area of 0.03 m2. initially, the iron is in thermal equilibrium with the ambient air at 22°c. assuming 90% of the heat generated in the resistance wires is transferred to the plate, determine the minimum time needed for the plate temperature to reach 200°c.

Large electric fields in cell membranes cause ions to move through the cell wall. the field strength in a typical membrane is 1.0 x 10 7 n/c. what is the magnitude of the force on a calcium ion with charge +e? what is its acceleration? is it possible for a particle with the same charge as as calcium to have a different acceleration if placed at this location? what would change the acceleration: mass of the particle? diameter of the particle?