March29,2004 12:44 k82-answers Sheetnumber3 Pagenumber3 cyanblack Answers AN-3 93. −3−2−1 123 2 4 6 8 x y f(x)= 3x−2ifx≥ 2 x+2ifx<2 95. Thetwofunctionsarethesame. 97. f(a+b)= m(a+b)= ma+mb= f(a)+f(b) 99. 3f(x)= 3·3x= 3x+1 = f(x+1), f(a+b)= 3a+b= 3a·3b= f(a)·f(b) Section1.2 1. C= 3x+10,000 3. R= 5x 5. P= 2x−10,000 7. x= 2 9. x= 20 ...
(a) Kinetic energy is conserved – the speed is constant. (b) Gravitational potential energy is conserved – the distance between the centers-of-mass of the objects remains the same.
Essential Physics, Answers to selected Chapter 11 Problems Page 5 41. The tension only needs to be different when the system accelerates. In that case, the pulley has an angular acceleration, which requires a net torque. The only way to have a net torque acting on the pulley is for the two tensions to be different. (a) With everything
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