Apurple beam is hinged to a wall to hold up a blue sign. the beam has a mass of mb = 6.2 kg and the sign has a mass of ms = 17 kg. the length of the beam is l = 2.48 m. the sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. the angle the wire makes with the beam is θ = 33.2°.

Work = force × a. work b. energy c. distance d. momentum

Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. the first student rides 1100 m due east and then turns due north and travels another 1430 m before arriving at the destination. the second student heads due north for 1930 m and then turns and heads directly toward the destination. at the turning point, how far is the second student from the destination?

Agraduated cylinder contains 63.0 ml of water. a piece of gold, which has a density of 19.3 g/ cm3, is added to the water and the volume goes up to 64.5 ml. calculate the mass in grams of the gold that was added to the water. explain how you got your answer.