QuestionSeptember 19, 2025

1. If two shopping carts of equal mass are pushed with different forces, how will their motion be affected? 2. If two shopping carts with different masses are pushed with the same force, how will their motion be affected? 3. If two shopping carts have different masses, but the same acceleration, what can be said about the forces acting on them? 4. How much force was applied to a 10 kg shopping cart if it accelerated at a rate of 2m/s2

1. If two shopping carts of equal mass are pushed with different forces, how will their motion be affected? 2. If two shopping carts with different masses are pushed with the same force, how will their motion be affected? 3. If two shopping carts have different masses, but the same acceleration, what can be said about the forces acting on them? 4. How much force was applied to a 10 kg shopping cart if it accelerated at a rate of 2m/s2
1. If two shopping carts of equal mass are pushed with different forces, how will their motion be affected? 2. If two shopping carts with different masses are pushed with the same force, how will their motion be affected? 3. If two shopping carts have different masses, but the same acceleration, what can be said about the forces acting on them? 4. How much force was applied to a 10 kg shopping cart if it accelerated at a rate of 2m/s2

Solution
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Answer

1. Greater force → greater acceleration; lesser force → lesser acceleration. ### 2. Larger mass → smaller acceleration; smaller mass → larger acceleration. ### 3. Larger mass has proportionally larger force. ### 4. 20 \, \text{N} Explanation 1. Use Newton’s Second Law Conceptually **F = m \cdot a** explains that acceleration depends on force and mass. 2. Question 1 — Equal Mass, Different Force More force → greater acceleration; less force → smaller acceleration. 3. Question 2 — Different Mass, Same Force Larger mass → smaller acceleration; smaller mass → larger acceleration. 4. Question 3 — Different Mass, Same Acceleration Same acceleration with different masses means larger mass has larger force; F \propto m. 5. Question 4 — Calculate Force Using **F = m \cdot a**: F = 10 \, \text{kg} \times 2 \, \text{m/s}^2 = 20 \, \text{N}.

Explanation

1. Use Newton’s Second Law Conceptually <br /> **F = m \cdot a** explains that acceleration depends on force and mass. <br /><br />2. Question 1 — Equal Mass, Different Force <br /> More force → greater acceleration; less force → smaller acceleration. <br /><br />3. Question 2 — Different Mass, Same Force <br /> Larger mass → smaller acceleration; smaller mass → larger acceleration. <br /><br />4. Question 3 — Different Mass, Same Acceleration <br /> Same acceleration with different masses means larger mass has larger force; $F \propto m$. <br /><br />5. Question 4 — Calculate Force <br /> Using **F = m \cdot a**: <br />$F = 10 \, \text{kg} \times 2 \, \text{m/s}^2 = 20 \, \text{N}$.
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