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A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is
- a)–0.5 J
- b)–1.25 J
- c)1.25 J
- d)0.5 J
Correct answer is option 'B'. Can you explain this answer?
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A particle of mass 100g is thrown vertically upwards with a speed of 5...
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A particle of mass 100g is thrown vertically upwards with a speed of 5...
To calculate the work done by the force of gravity, we need to determine the change in potential energy of the particle as it goes up.
The potential energy of an object near the surface of the Earth is given by the equation:
Potential Energy = mass * acceleration due to gravity * height
In this case, the mass of the particle is 100g, which is equivalent to 0.1 kg. The acceleration due to gravity is approximately 9.8 m/s^2. The height the particle reaches is determined by its initial velocity and the time it takes to reach its maximum height.
Using the equation for the height of an object in free fall:
Height = (initial velocity)^2 / (2 * acceleration due to gravity)
Height = (5 m/s)^2 / (2 * 9.8 m/s^2) = 1.275 m
Now we can calculate the change in potential energy:
Change in Potential Energy = mass * acceleration due to gravity * change in height
Change in Potential Energy = 0.1 kg * 9.8 m/s^2 * 1.275 m = 1.24 J
Therefore, the work done by the force of gravity during the time the particle goes up is 1.24 Joules.
The potential energy of an object near the surface of the Earth is given by the equation:
Potential Energy = mass * acceleration due to gravity * height
In this case, the mass of the particle is 100g, which is equivalent to 0.1 kg. The acceleration due to gravity is approximately 9.8 m/s^2. The height the particle reaches is determined by its initial velocity and the time it takes to reach its maximum height.
Using the equation for the height of an object in free fall:
Height = (initial velocity)^2 / (2 * acceleration due to gravity)
Height = (5 m/s)^2 / (2 * 9.8 m/s^2) = 1.275 m
Now we can calculate the change in potential energy:
Change in Potential Energy = mass * acceleration due to gravity * change in height
Change in Potential Energy = 0.1 kg * 9.8 m/s^2 * 1.275 m = 1.24 J
Therefore, the work done by the force of gravity during the time the particle goes up is 1.24 Joules.
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A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer?.
A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 100g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up isa)–0.5 Jb)–1.25 Jc)1.25 Jd)0.5 JCorrect answer is option 'B'. Can you explain this answer?.
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