A variable force of magnitude F(x) moves a body of mass m along the x-axis from x1 to x2. The net work done by the force in moving the body from x1 to x2 is
where v1 and v2 are the body's velocities at x1 and x2. Knowing that the work done by the force equals the change in the body's kinetic energy, solve the problem.A 2-oz tennis ball was served at 90 ft/sec about (61 mph). How much work was done on the ball to make it go this fast? (To find the ball's mass from its weight, express the weight in pounds and divide by
the acceleration of gravity.)
A. 16 ft-lb
B. 7 ft-lb
C. 15 ft-lb
D. 32 ft-lb
Answer: A
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Find the divergence of the field F.F =
A.
B.
C.
D. 0
Use Newton's method to estimate the requested solution of the equation. Start with given value of x0 and then give x2 as the estimated solution.3x2 + 2x - 1 = 0; x0 = 1; Find the right-hand solution.
A. 0.35 B. 0.50 C. 0.33 D. 0.85
Using a calculator, evaluate to four decimal places.ln 0.000777
A. 3.1096 B. 7.1601 C. -7.1601 D. -3.1096
Solve the problem.A company predicts that sales will increase rapidly after a new product is released, with the number of units sold weekly modeled by N = 3000(0.1)0.5t, where t represents the number of weeks after the product is released. How many units per week were sold at the beginning of the campaign?
A. 360 units B. 3000 units C. 300 units D. 150 units