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For a fixed value of muzzle velocity of the spring gun you varied the mass of th

ID: 1369536 • Letter: F

Question

For a fixed value of muzzle velocity of the spring gun you varied the mass of the pendulum.

[1] How did the distance from the pivot point to the center of mass change with increasing pendulum mass?  

(a) It increased (b) It decreased (c) It stayed the same

[2] How did the velocity of the pendulum just after it captured the speeding ball change with increasing pendulum mass?  

(a) It stayed the same (b) It decreased (c) It increased

[3] How did the maximum altitude of the pendulum ( h ) change with increasing pendulum mass?  

(a) It decreased (b) It increased (c) It stayed the same

Explanation / Answer


relation for time period associated with spring constant K and added mass m to it as

T = 2pi sqrt(m/k)

also F = kx = mg

so as m is directly proportional to x

1. as M increases, COM also Increases option A

-------------------------------
2. V = sqrt(K/u) where u is mass/length = m/L

so V is inverlsy proportional to mass

so as Mass Inceases , V decreases

option B

--------------------------------

3. h = v^2/2g


Independent of mass

option C

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