Problem 1: (a) Ã= 3â – 2ŷ, B = 4ây – 5ŷ. Ã · B =? Answer: 22 (b) Ã = -2ô + 4, B = 3â – lŷ. Ả.B =? Answer: –10 (c) Ã = 5â – 3ŷ, B = -3â – 5ŷ. Ã. B =? Answer: 0 d = 4m F = 20 N 0=30° 4 kg m = . m = 2 kg HK = 0.5 F = 40 N Hk = 0.2 0 = 30° Problem 2: In the figure above on the left we have a force F = 20 N pulling a box to the right at an angle 0 = 30° above the horizontal. The box has a mass m = 2 kg, the coefficient of kinetic firction between the box and the ground is uk = 0.2, and the block moves a distance d = 4 m to the right. (a) What is the work done by the force F? Answer: 69.3 J (b) What is the normal force from the ground? Use g = 10 m/sec2 Answer: 10 N (c) What is the work done by the kinetic friction force? Answer: -8 J (d) What is Wnet, the net work done on the box? Answer: 61.3 J (e) The box has an initial speed of 4 m/sec. What is the speed of the box after it has travelled the distance d = 4 m? Answer: 8.8 m/sec

A gram is Select one: а. 10^-6 kg b. 10^3 kg с. 1 kg d. 10^-3 kg

12. Find o (in degrees). y hip (1.1, 0.8) knee (1.35, 0.51) ankle (1.21 0.15) (0, 0)! X Copyrighte 2015 Woltes Kluner - All Rights Reserved

Here's how gym membership works for a potential customer: If the customer decides to join the gym, she will pay J on day 0. Then, she can use the gym starting the next day for 5 days (1; 2; 3; 4; 5), paying an additional F on each day she visits. If she goes to the gym on any given day, it costs her (10+ F) that day, but beneÖts her 30 the next day. In other words, her "costs" are a sum of her psychic costs (10) and actual Onancial costs (F). Assume that, when indi§erent, the individual will go to the gym. (a) Suppose the potential customer is a standard exponential discounter with a discount factor of = 12. If gym membership was free (i.e. J = 0 and F = 0) would she join the gym? If so, how many days would she actually go? (b) Suppose the gym did not charge a joining fee. How high could it set the usage fee? What would its revenues from this customer be? (c) Suppose instead the gym decided not to charge a usage fee. How high could it set the joining fee? [Hint: To Ögure out the…

Item 12 (Figure 1)A neutral conducting sphere contains a spherical cavity. A point charge q is placed at the center of the cavity. Part A What is the total surface charge dint on the interior surface of the conductor? ► View Available Hint(s) VE ΑΣΦ gint = Submit ?