Question

a bb gun to the shooting range to test out her new bb gun. first, she shoots a metal soda can and then she shoots a cinder block. in each shot, the bb hits its target with the same speed. what can be said about the motion of each object after being shot? (multiple select) a the cinder block will move farther than the can because it is more durable. b the can will move farther than the cinder block because it has less mass. c moving the cinder block requires more force because it has more mass. d the cinder block and the soda can will move approximately the same distance after being shot. e the cinder block wont move as far as the soda can because it has more mass.

Explanation:

• Option A: Durability doesn't determine motion distance here; mass and force (from the bb) matter, so A is incorrect.
• Option B: According to Newton's second law ($F = ma$) and the concept of momentum transfer, an object with less mass (soda can vs. cinder block) will accelerate more and move farther when the same force (from the bb with same speed) is applied, so B is correct.
• Option C: Moving an object with more mass (cinder block) does require more force (since $F = ma$; for a given acceleration, more mass needs more force), so C is correct.
• Option D: The cinder block has more mass, so it won't move as far as the soda can (less mass) when the same force is applied, so D is correct.
• Option E: Since the cinder block has more mass, it won't move as far as the soda can (consistent with $F = ma$ and momentum principles), so E is correct. Wait, re - evaluating: Wait, the question is about the motion after being shot. The bb hits both with same speed, so same momentum transfer (assuming same mass of bb, $p = mv$). The cinder block has more mass, so from $p = Mv_{object}$, a larger $M$ (cinder block) means smaller $v_{object}$ (final velocity of the object). So:
• Option B: Soda can (less mass) moves farther - correct.
• Option C: Moving cinder block (more mass) requires more force - correct (since $F = ma$, to get same acceleration as the can, more force is needed for more mass; or to move it, overcoming inertia which is related to mass).
• Option E: Cinder block (more mass) won't move as far as soda can (less mass) - correct.
• Option D: Says they move approximately same distance - incorrect, because mass differs.
• Option A: Durability is not a factor in motion distance here - incorrect.

So the correct options are B, C, E.

Answer:

B. The can will move farther than the cinder block because it has less mass.
C. Moving the cinder block requires more force because it has more mass.
E. The cinder block won't move as far as the soda can because it has more mass.