Ned is emptying the dishwasher. He removes a 0.20 kg glass that has an initial temperature of 30C (c = 840 J/kgC). Into it he pours 0.10 kg of diet soda (c = 4200 J/kgC) which comes out of the fridge at 5C. Assuming no external heat loss, what is the final equilibrium temperature of the glass of diet soda?

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?

Agroup of physics students hypothesize that for an experiment they are performing, the speed of an object sliding down an inclined plane will be given by the expression.

Suppose you increase your walking speed from 4 m/s to 13 m/s in a period of 3 s. what is your acceleration?