1) (i) A solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on ...............? (ii) Now, consider two solid spheres that have the same radius R and equal mass M. One is made of solid aluminum and the other is made from a hollow shell of gold. Which one has the bigger moment of inertia about an axis through its center? A) hollow gold B) solid aluminium C) the mass of the sphere D) the radius of the sphere E) neither the mass nor the radius of sphere
Please select TWO options as your correct answers. TWO correct answers will give you correct answer.
WRONG answers If you choose ONE answer only or only ONE answer is correct.
1) (i) A solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on ...............? (ii) Now, consider two solid spheres that have the same radius R and equal mass M. One is made of solid aluminum and the other is made from a hollow shell of gold. Which one has the bigger moment of inertia about an axis through its center?
A) hollow gold
B) solid aluminium
C) the mass of the sphere
D) the radius of the sphere
E) neither the mass nor the radius of sphere
2) A car goes around a curve of radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. (1) What is the
a) Twice as big
b) One-half as big
c) Remain the same
d) Four times as big
e) One- fourth as big
3) Two equal forces are applied to a door. The first force is applied at the midpoint of the door and the second force is applied at the doorknob. Both forces are applied perpendicular to the door. (i) Which force exerts the greater torque? (ii) If two forces produce the same torque, do they have the same magnitude?
a) no
b) yes
c) The first at the midpoint
d) the second at the doorknob
e) Both exert non-zero torques
4)Two children sit on opposite ends of a uniform seesaw that pivots in the center. A boy has a mass of 60 kg and sits 2.0 m from the center. A girl has a mass of 40 kg. (i) How far from the center must the girl sit for the seesaw to balance? (ii) If they both move forward so that they are one-half their original distance from the pivot point, what will happen to the seesaw?
a) 2.3 m
b) 3.0 m
c) the seesaw will still be balanced
d) The side the girl is sitting on will tilt downward
e) The side the boy is sitting on will tilt downward
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