4 o o o o o o 4 Passage v 2 Student reach the finish line in th Spheres W and of

Question

4 o o o o o o 4 Passage v 2 Student reach the finish line in th Spheres W and of a sphere due to amount of time. The acceleration grav Spheres W. X, Y and Z, initially at res line on an inclined plan released one at a time and have the same accelerat allowed to roll ut sliding, a e way to the finish line at bottom of the The masses and radii of age s finish line in less time th Sphere z reach the same sph Sphere Y. For spheres the for a sphere to red Spheres W and X are co and radii of Spheres Y and Z ere because as sphere because Sphere radius increases. This is plete a rotation Spheres Properties us ncreases the Therefore, rotation increases. Spheres have the same radius. as W and X will lesser acceleration and W has the greater m Spheres have the same ma Y and Z has the greater radius A teacher asks 2 students to dict whether Sphere W or Sphere X, if either, will reach and whether Sphere Y or Sphere Z, if either, w reach the the same radius. If bo finish me spheres drop from the same the instant, Studen more likely predict that which will hit the ground first? Student Sphere W will reach the finish line time than Sphere X, Sphere W weighs more than sphere X, so the force of gravity exerted on Sphere is greater than that (Note: Assume that air resistance is insignificant H. sphere because the of of gravity s on Sphere would be greater than the force exerted on Sphere X. Because force x acceleration w will have the greater accelera on down the incline and, therefore, the greater average speed Sphere T. G. Sphere S, because the grav on Sphere Sphere Y will reach the line in less time than Sphere 2 spheres having the same mas ess than the force of gravity on would be Sphere radius increases, sphere density decreases, so the ener H. T the force of gravity on Sphere T would be greater than the force of gravit mass of Sphere Y Sphere S is the mass of Sphere Z, so Sphere Y s less dense than J. Sphere T because the force of gravity on Sphere T Sphere z and will have the greater acceleration and the greater average speed. would be less than the force of grav Sphere S

Explanation / Answer

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H. Sphere T, because the force of gravity on sphere T would be greater than the force of gravity on sphere S

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A. Sphere Y, because it has greater radius

Torque = radius X force

T = r x ma

Greater the radius greater the torque and rotational acceleration

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H. Sphere Z, because it will have greater average speed.

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A. Because the time period of y must be shorter than that of Z according to student 1

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G sphere W and sphere Z

Density = mass / volume

D = m/4/3r3

D m/r3

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C. Both student 1 and 2

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j. neither sphere. Because the acceleration due to gravity is independent of mass according to student 2

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