Question
6.Two shopping carts of equal mass are pushed by two different people. One cart accelerates three times as fast as the other cart Describe the forces acting on each cart. __ 6.2 Mass Resists Acceleration (page 87) 7. For a constant force, how does an increase in an object's mass affect its acceleration? __ 8. What does it mean for two quantities to be inversely proportional to one another? __ 9. Circle the letter showing how mass and acceleration are related. a. acceleration mass b. acceleration sim 1/mass c. acceleration mass^2 d. acceleration sim (1)/(2) mass 6.3 Newton's Second Law (pages 88-89) 10. Circle the letter of each quantity related by Newton's second law. a. mass b. force c. time d. acceleration
Solution
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Hunter
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Answer
6. Since the carts have equal mass, the cart that accelerates three times faster must have a force acting on it that is three times greater than the force acting on the slower cart. This is described by Newton's Second Law of Motion (F=ma). Both carts also have the force of gravity pulling downwards and a normal force from the ground pushing upwards. These two forces are equal and opposite, resulting in no vertical acceleration. There is also friction acting on both carts, opposing their motion.7. For a constant force, an increase in an object's mass results in a decrease in its acceleration. They are inversely proportional.8. Two quantities are inversely proportional if an increase in one quantity results in a decrease in the other quantity by the same factor. Mathematically, their product is constant.9. **b. acceleration
**10. **a. mass**, **b. force**, and **d. acceleration** are all related by Newton's second law (F=ma). Time is not directly part of Newton's second law.