3. an object of mass $5.0\text{ kg}$ is lifted vertically upward by $2.0\text{ m}$. assuming the acceleration due to gravity is $9.8\text{ m/s}^2$, how much work is done against gravity?

a. $10\text{ j}$
b. $20\text{ j}$
c. $49\text{ j}$
d. $98\text{ j}$

Question

3. an object of mass $5.0\text{ kg}$ is lifted vertically upward by $2.0\text{ m}$. assuming the acceleration due to gravity is $9.8\text{ m/s}^2$, how much work is done against gravity?

a. $10\text{ j}$
b. $20\text{ j}$
c. $49\text{ j}$
d. $98\text{ j}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Work Done Against Gravity", "Gravitational Potential Energy" ], "current_concepts": [ "Work Done Against Gravity", "Gravitational Potential Energy" ] } ## Identify given parameters $$ \begin{aligned} m &= 5.0\text{ kg} \ d &= 2.0\text{ m} \ g &= 9.8\text{ m/s}^2 \end{aligned} $$ ## Calculate work done against gravity $$ \begin{aligned} W &= m \cdot g \cdot d \ W &= 5.0\text{ kg} \times 9.8\text{ m/s}^2 \times 2.0\text{ m} \ W &= 98\text{ J} \end{aligned} $$

(A) 10 J

(B) 20 J

(C) 49 J

(D) 98 J

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Work Done Against Gravity" ] }

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Explanation:

Identify given parameters

Calculate work done against gravity

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