Please provide deep explaining of concepts, theories, and formulas that apply to

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Please provide deep explaining of concepts, theories, and formulas that apply to each problem. I have a physics final coming up and I need to be prepared, these are the practice questions. thank you.

15. A solid sphere with mass, M.wadratius, R along a level surface without slipping with a linear speed, v What is the ratio of rotational to linear kinetic energy? Gore asolid spbere, I-e4 MR b 12 d 2/5 16, A baseball outfielder throws a baseball of mass 0.15 kg at a speed of 40 m/s and initial angle of 30 What is the kinetic energy of the baseball the highest point of the trajectory? Ignore air friction. a zero b, 30 J 901 d. 120 J with a 17. A mass of 0.40 kg, attached to a spring constant of is harmonic motion. What is the magnitude of the of the mass when at maximum displacement of 0.10 m from the equilibrium a. Zero b. 5 m/s2 c, 10 m/s d. 200 m/s2 which of the 18, revlmin is equivalent to following? a. 2600 rad/s b, 43.3 rad/s c. 273 rad/s d. 60 rad/s directly to 19. is moving due north, A d destination. Its airspeed is 200 breeze blowing from west to east at which direction is the plane a. 5.7° w N b. 100 W of N c. 220 W of N d. 11° E of N

Explanation / Answer

15. trans KE = m v^2 / 2

rotational KE = I w^2 / 2 = ( 0.4 m r^2) (v / r)^2 / 2

= 0.4 m v^2 / 2

rot / linear = 0.4 = 2/5

Ans(D)

16. horizontal velocity will not change.

vx = 40 cos30 = 34.64 m/s

at highest point, only horizontal velocity is there.

KE = 0.15 x 36.64^2 / 2 = 90 J

Ans(c)

17. F = k x = (80)(0.10) = 8 N

a = F/ m = 8 / 0.4 = 20 m/s^2

Ans(d)

18. 2600 rev/min = 2600 x 2 pi rad / 60 sec = 272.3 rad/s

Ans(c)

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