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A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force?
Most Upvoted Answer
A body of mass 500g at rest is acted upon by a force which cause it to...
Given Data
- Mass of the body (m) = 500 g = 0.5 kg (convert grams to kilograms)
- Distance moved (s) = 4 meters
- Time taken (t) = 2 seconds
Finding Acceleration
To calculate the force, we first need to find the acceleration of the body using the formula:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
- Since the body is initially at rest, u = 0.
- To find the final velocity, we use the equation of motion:
s = ut + (1/2)at²
Substituting the known values:
- 4 = 0 * 2 + (1/2)a(2²)
This simplifies to:
- 4 = 2a
Now, solving for a:
- a = 4 / 2 = 2 m/s²
Calculating Force
Now that we have the acceleration, we can calculate the force using Newton's second law of motion:
Force (F) = Mass (m) × Acceleration (a)
Substituting the values:
- F = 0.5 kg × 2 m/s²
This gives:
- F = 1 N
Conclusion
The force acting on the body is:
Force = 1 Newton (N)
This calculation shows how to determine the force from the mass of an object and its movement under the influence of that force.
- Mass of the body (m) = 500 g = 0.5 kg (convert grams to kilograms)
- Distance moved (s) = 4 meters
- Time taken (t) = 2 seconds
Finding Acceleration
To calculate the force, we first need to find the acceleration of the body using the formula:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
- Since the body is initially at rest, u = 0.
- To find the final velocity, we use the equation of motion:
s = ut + (1/2)at²
Substituting the known values:
- 4 = 0 * 2 + (1/2)a(2²)
This simplifies to:
- 4 = 2a
Now, solving for a:
- a = 4 / 2 = 2 m/s²
Calculating Force
Now that we have the acceleration, we can calculate the force using Newton's second law of motion:
Force (F) = Mass (m) × Acceleration (a)
Substituting the values:
- F = 0.5 kg × 2 m/s²
This gives:
- F = 1 N
Conclusion
The force acting on the body is:
Force = 1 Newton (N)
This calculation shows how to determine the force from the mass of an object and its movement under the influence of that force.
Community Answer
A body of mass 500g at rest is acted upon by a force which cause it to...
M=500g=0.5kg
distance(s)=4m
Time=2second
object is starting from rest
so,u=0
According to the third equation of motion,
s=ut+1/2at²
by putting the values,
4=0×2+1/2×a×2²
4=0+2a
4/2=a
2 m/s²=a
F=ma
so,
F=0.5×2
F=1N ANS.
distance(s)=4m
Time=2second
object is starting from rest
so,u=0
According to the third equation of motion,
s=ut+1/2at²
by putting the values,
4=0×2+1/2×a×2²
4=0+2a
4/2=a
2 m/s²=a
F=ma
so,
F=0.5×2
F=1N ANS.
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A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force?
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A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force?.
A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 500g at rest is acted upon by a force which cause it to move a distance of 4 meter in 2 second . calculate the force?.
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