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Eq. 4.2 Refers to: v^2 = 2gsin(theta)(x - x initial) If you expand Eq. (4.2), yo

ID: 1279361 • Letter: E

Question

Eq. 4.2 Refers to: v^2 = 2gsin(theta)(x - x initial)

If you expand Eq. (4.2), you will find that it has the form v2 = Bx + C. Rewrite Eq. (4.2) in this form to determine the physical significance of the quantities B and C. Note that this equation is a linear relation between v2 (not v) and x. Write the expressions you derive for B and C here. The slope B is related to the acceleration due to gravity g and sin theta, where theta is the air track inclination angle. The trigonometric function sin 9 can be determined from the height h of the block propping up the leg and the distance d between the air track legs (both h and d were found in step 2 of the procedure). From the relationship you found between B, g, and sin 0, and the relation between sin theta, h, and d, compute the experimental value of g for each branch of data. Show your work and record the two values here. Average your two values for g and compare with the known value g = 9.81 m/s2. Find the percentage difference between your experimental g and the known value of g:

Explanation / Answer

a)v^2=2gSin(theta)x-2gSin(theta)xinitial.

B=2gSin(theta)

C=-2gSin(theta)xinitial.

b)Sin(theta)=h/d

Solve equations simultaneusly now.