The true statements regarding Antonio's situation are that he is applying a 1-pound force to hold the 1-pound bag and that the mass of the bag in his left hand is less than the mass of the bag in his right hand.
;
The force of gravity is greater on the 2-pound bag.
Antonio applies a 1-pound force to hold the 1-pound bag.
Antonio applies a greater force to hold the 2-pound bag.
The acceleration due to gravity is the same for both bags.
The mass of the 1-pound bag is less than the mass of the 2-pound bag.
The correct answers are: Antonio is applying a 1-pound force to hold the 1-pound bag and The mass of the bag in his left hand is less than the mass of the bag in his right hand. A n t o ni o i s a ppl y in g a 1 − p o u n d f orce t o h o l d t h e 1 − p o u n d ba g ; T h e ma ss o f t h e ba g in hi s l e f t han d i s l ess t han t h e ma ss o f t h e ba g in hi s r i g h t han d
Explanation
Problem Analysis Let's analyze the problem. Antonio is holding two bags of apples, one weighing 1 pound and the other 2 pounds. We need to determine which statements about the forces, masses, and acceleration due to gravity are true.
Force of Gravity The force caused by gravity on an object is given by F = m g , where m is the mass and g is the acceleration due to gravity. Since the 2-pound bag has a greater mass, the force of gravity on it is greater than the force of gravity on the 1-pound bag. Therefore, the statement 'The force caused by gravity is the same on each bag' is false.
Force Applied by Antonio To hold the 1-pound bag, Antonio must apply an upward force equal to the weight of the bag, which is 1 pound. So, the statement 'Antonio is applying a 1-pound force to hold the 1-pound bag' is true.
Comparing Forces Since the 2-pound bag weighs more than the 1-pound bag, Antonio must apply a greater force to hold the 2-pound bag. Therefore, the statement 'Antonio must apply a greater force to hold the 1-pound bag than the 2-pound bag' is false.
Acceleration Due to Gravity The acceleration due to gravity is approximately 9.8 m / s 2 and is the same for all objects, regardless of their mass. Therefore, the statement 'The acceleration due to gravity is greater on the 2-pound bag' is false.
Comparing Masses The mass of the bag in Antonio's left hand (1 pound) is less than the mass of the bag in his right hand (2 pounds). Therefore, the statement 'The mass of the bag in his left hand is less than the mass of the bag in his right hand' is true.
Conclusion Based on our analysis, the correct statements are:
Antonio is applying a 1-pound force to hold the 1-pound bag.
The mass of the bag in his left hand is less than the mass of the bag in his right hand.
Examples
Understanding forces and masses is crucial in everyday life. For example, when lifting objects, you intuitively apply a force equal to the object's weight to counteract gravity. Knowing that heavier objects require more force helps prevent injuries and allows you to plan your actions accordingly. This concept extends to various fields, such as engineering, where calculating forces is essential for designing stable structures.