Chapter 1: Q2DQ (page 123)
A ball thrown straight up has zero velocity at its highest point. Is the ball in equilibrium at this point? Why or why not?
The ball is not in equilibrium, at all moments during the motion as the gravitational force still acts on the ball.
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A particle of mass 3m is located from a particle of mass m.
(a) Where should you put a third mass M so that the net gravitational force on M due to the two masses is precisely zero?
(b) Is the equilibrium of M at this point stable or unstable (i) for points along the line connecting m and 3m, and (ii) for points along the line passing through M and perpendicular to the line connecting m and 3m?
(a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males. Express this quantity in µg/day. (b) For adults, the RDA of the amino acid lysine is 12 mg per kg of body weight. How many grams per day should a 75-kg adult receive? (c) A typical multivitamin tablet can contain 2.0 mg of vitamin B2 (riboflavin), and the RDA is 0.0030 g/day. How many such tablets should a person take each day to get the proper amount of this vitamin, if he gets none from other sources? (d) The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.
A useful and easy-to-remember approximate value for the number of seconds in a year is𝛑×107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)
Comparing Example 12.1 (Section 12.1) and Example 12.2 (Section 12.2), it seems that 700 N of air is exerting a downward force of on the floor. How is this possible?
In each case, find the x- and y-components of vector: (a); (b); (c); (d), where.
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