3. an object of mass 5.0 kg is lifted vertically upward by 2.0 m. assum…
D. 98 J
Question
- an object of mass 5.0 kg is lifted vertically upward by 2.0 m. assuming the acceleration due to gravity is 9.8 m/s², how much work is done against gravity?
a. 10 j
b. 20 j
c. 49 j
d. 98 j
Solution Steps
-
Understand the question
- an object of mass 5.0 kg is lifted vertically upward by 2.0 m. assuming the acceleration due to gravity is 9.8 m/s², how much work is done against gravity?
a. 10 j
b. 20 j
c. 49 j
d. 98 j -
Explanation
Step1: Recall the formula for work done against gravity
The work done against gravity is given by the formula \( W = mgh \), where \( m \) is the mass, \( g \) is the acceleration due to gravity, and \( h \) is the height.
Step2: Identify the given values
We are given \( m = 5.0 \, \text{kg} \), \( g = 9.8 \, \text{m/s}^2 \), and \( h = 2.0 \, \text{m} \).
Step3: Substitute the values into the formula
Substitute the values into \( W = mgh \):
\( W = 5.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2.0 \, \text{m} \)
First, calculate \( 5.0 \times 9.8 = 49 \), then \( 49 \times 2.0 = 98 \). So, \( W = 98 \, \text{J} \). -
Final answer
D. 98 J
Answer
Explanation
Step1: Recall the formula for work done against gravity
The work done against gravity is given by the formula \( W = mgh \), where \( m \) is the mass, \( g \) is the acceleration due to gravity, and \( h \) is the height.
Step2: Identify the given values
We are given \( m = 5.0 \, \text{kg} \), \( g = 9.8 \, \text{m/s}^2 \), and \( h = 2.0 \, \text{m} \).
Step3: Substitute the values into the formula
Substitute the values into \( W = mgh \):
\( W = 5.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2.0 \, \text{m} \)
First, calculate \( 5.0 \times 9.8 = 49 \), then \( 49 \times 2.0 = 98 \). So, \( W = 98 \, \text{J} \).
Answer
D. 98 J
Question Image
Click to enlargeQuestion Analysis
Subject
natural science
Sub Subject
physics
Education Level
high school
Difficulty
unspecified
Question Type
multiple choice, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-07T20:44:11
OCR Text
Show OCR extraction
3. an object of mass 5.0 kg is lifted vertically upward by 2.0 m. assuming the acceleration due to gravity is 9.8 m/s², how much work is done against gravity? a. 10 j b. 20 j c. 49 j d. 98 j
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