13. circle the cart that would have the smaller acceleration if each cart was pushed with the same amount of…

13. circle the cart that would have the smaller acceleration if each cart was pushed with the same amount of force. 14. explain why the cart you chose would have the smaller acceleration.

13. circle the cart that would have the smaller acceleration if each cart was pushed with the same amount of force. 14. explain why the cart you chose would have the smaller acceleration.

Answer

Brief Explanations:

According to Newton's second - law $F = ma$ (where $F$ is force, $m$ is mass, and $a$ is acceleration), when the force $F$ is constant, the acceleration $a$ is inversely proportional to the mass $m$ ($a=\frac{F}{m}$). The total mass of the cart in Figure A is $24 + 10=34$ kg, and the total mass of the cart in Figure B is $10 + 2 = 12$ kg. Since the force applied to each cart is the same, the cart with the larger mass (Figure A) will have a smaller acceleration.

Answer:

The cart in Figure A would have the smaller acceleration because, according to Newton's second - law $F = ma$, when the force $F$ is constant, the acceleration $a$ is inversely proportional to the mass $m$, and the total mass of the cart in Figure A ($34$ kg) is greater than the total mass of the cart in Figure B ($12$ kg).