Class 9 Exam > Class 9 Questions > A body of mass 2 kg is moving along positive ...
Start Learning for Free
A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.?
Most Upvoted Answer
A body of mass 2 kg is moving along positive X-axis with a constant sp...
Given Data
- Mass of the body (m) = 2 kg
- Initial velocity (u) = 8 m/s
- Force (F) = -20 N (acting in the negative X-axis)
Calculating Acceleration
Using Newton's second law, we can find the acceleration (a):
- Formula: \( F = m \cdot a \)
- Rearranging gives: \( a = \frac{F}{m} = \frac{-20 \, \text{N}}{2 \, \text{kg}} = -10 \, \text{m/s}^2 \)
This indicates that the body is decelerating at a rate of 10 m/s².
Calculating Time to Rest
To find the time (t) when the body comes to rest (final velocity \( v = 0 \)), we use the equation:
- Formula: \( v = u + a \cdot t \)
- Setting \( v = 0 \):
\( 0 = 8 \, \text{m/s} - 10 \, \text{m/s}^2 \cdot t \)
- Rearranging gives:
\( t = \frac{8 \, \text{m/s}}{10 \, \text{m/s}^2} = 0.8 \, \text{s} \)
Calculating Displacement
To calculate the displacement (s) during this time, we use the equation:
- Formula: \( s = u \cdot t + \frac{1}{2} a \cdot t^2 \)
- Substituting values:
\( s = 8 \, \text{m/s} \cdot 0.8 \, \text{s} + \frac{1}{2} \cdot (-10 \, \text{m/s}^2) \cdot (0.8 \, \text{s})^2 \)
- Calculating:
\( s = 6.4 \, \text{m} - 3.2 \, \text{m} = 3.2 \, \text{m} \)
Final Results
- Time to come to rest: 0.8 seconds
- Displacement covered: 3.2 meters
- Mass of the body (m) = 2 kg
- Initial velocity (u) = 8 m/s
- Force (F) = -20 N (acting in the negative X-axis)
Calculating Acceleration
Using Newton's second law, we can find the acceleration (a):
- Formula: \( F = m \cdot a \)
- Rearranging gives: \( a = \frac{F}{m} = \frac{-20 \, \text{N}}{2 \, \text{kg}} = -10 \, \text{m/s}^2 \)
This indicates that the body is decelerating at a rate of 10 m/s².
Calculating Time to Rest
To find the time (t) when the body comes to rest (final velocity \( v = 0 \)), we use the equation:
- Formula: \( v = u + a \cdot t \)
- Setting \( v = 0 \):
\( 0 = 8 \, \text{m/s} - 10 \, \text{m/s}^2 \cdot t \)
- Rearranging gives:
\( t = \frac{8 \, \text{m/s}}{10 \, \text{m/s}^2} = 0.8 \, \text{s} \)
Calculating Displacement
To calculate the displacement (s) during this time, we use the equation:
- Formula: \( s = u \cdot t + \frac{1}{2} a \cdot t^2 \)
- Substituting values:
\( s = 8 \, \text{m/s} \cdot 0.8 \, \text{s} + \frac{1}{2} \cdot (-10 \, \text{m/s}^2) \cdot (0.8 \, \text{s})^2 \)
- Calculating:
\( s = 6.4 \, \text{m} - 3.2 \, \text{m} = 3.2 \, \text{m} \)
Final Results
- Time to come to rest: 0.8 seconds
- Displacement covered: 3.2 meters
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.?
Question Description
A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? 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 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.?.
A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? 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 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.?.
Solutions for A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? defined & explained in the simplest way possible. Besides giving the explanation of
A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.?, a detailed solution for A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? has been provided alongside types of A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? theory, EduRev gives you an
ample number of questions to practice A body of mass 2 kg is moving along positive X-axis with a constant speed of 8 m/s. If a force of 20 N is acting on the body along the (-)ve X-axis then calculate the time when body will be at rest after applying the force and calculate the displacement covered by the body during this time interval.? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup