1. Work out (show all necessary steps)

For what value oft vector 2i + j + k is perpendicular to i - 4 + tk.

If A = i + 3k, and B = 2 + 3k then what is the value of AxB?

What do you think would happen to the force if the distance is cut in half and each of the masses is also cut in half

You want to use a lever to lift a 2000 N rock. The maximum force you can exert is 500 N. Draw a lever to lift the rock. Label the input force, output force, fulcrum, input arm, and output arm. Specify measurements for the input and output arms.

a bungee jumper momentarily comes to rest at the bottom of the dive before he springs back upward. at that moment, is the bungee jumper in equilibrium? explain.

An ideal gas is enclosed in a piston, and 1600 J of work is done on the gas. As this happens, the internal energy of the gas increases by only 500 J.

If you stand next to a wall on a frictionless skateboard and push the wall with a force of 40n, how hard does the wall push on you? if your mass is 80 kg, show that your acceleration is 0.5m/s2.

Heat that is transferred by the movement of currents within a fluid is called?

5. What is the percent composition of sulfur in H2SO4? A. 32.7% B. 65.2% C. 98.1% D. 2.1%

A 0.8kg object accelerate at a rate of4 m/s2. What is the net force acting on a object

Which of the following is the best definition of an isotope? A. elements of the same kind with different numbers of neutrons B. elements of the same kind that have lost electrons C. elements of the same kind that have different electrical charges

Two cars approach each other; both cars are moving westward, one at 85 km/h, the other at 54 km/h. what is the magnitude of the velocity of the first car relative to (in the frame of reference of) the second car? answer in units of km/h.