NEET Exam > NEET Questions > A body of mass 5 kg start from the origin wit...
Start Learning for Free
A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is?
Verified Answer
A body of mass 5 kg start from the origin with initial velocity u=(30i...
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
A body of mass 5 kg start from the origin with initial velocity u=(30i...
Community Answer
A body of mass 5 kg start from the origin with initial velocity u=(30i...
Given:
- Mass of the body, m = 5 kg
- Initial velocity, u = 30i + 40j m/s
- Constant force, F = -6i - 5j N
To find:
The time at which the y-component of velocity becomes zero.
Solution:
Step 1: Find the acceleration
The force acting on the body can be related to its acceleration using Newton's second law of motion:
F = ma
Given that F = -6i - 5j N and m = 5 kg, we can equate the force components to the respective components of acceleration:
-6 = 5a_x (Equation 1)
-5 = 5a_y (Equation 2)
Solving Equations 1 and 2, we find:
a_x = -6/5 m/s²
a_y = -1 m/s²
Step 2: Find the time
We know that acceleration is the rate of change of velocity with respect to time:
a = dv/dt
Since the acceleration is constant, we can integrate the above equation to find the velocity as a function of time:
∫dv = ∫adt
Integrating both sides, we get:
v = at + C
Where C is the constant of integration. Since the body starts from rest, the initial velocity (u) is equal to zero, so C = 0.
Therefore, the velocity as a function of time is given by:
v = at
Substituting the values of a_x and a_y, we get:
v_x = -6/5t
v_y = -t
Step 3: Find the time when the y-component of velocity becomes zero
To find the time at which the y-component of velocity becomes zero, we can equate v_y to zero and solve for t:
- t = 0
Therefore, the y-component of velocity becomes zero at t = 0.
Answer:
The time at which the y-component of velocity becomes zero is t = 0.
- Mass of the body, m = 5 kg
- Initial velocity, u = 30i + 40j m/s
- Constant force, F = -6i - 5j N
To find:
The time at which the y-component of velocity becomes zero.
Solution:
Step 1: Find the acceleration
The force acting on the body can be related to its acceleration using Newton's second law of motion:
F = ma
Given that F = -6i - 5j N and m = 5 kg, we can equate the force components to the respective components of acceleration:
-6 = 5a_x (Equation 1)
-5 = 5a_y (Equation 2)
Solving Equations 1 and 2, we find:
a_x = -6/5 m/s²
a_y = -1 m/s²
Step 2: Find the time
We know that acceleration is the rate of change of velocity with respect to time:
a = dv/dt
Since the acceleration is constant, we can integrate the above equation to find the velocity as a function of time:
∫dv = ∫adt
Integrating both sides, we get:
v = at + C
Where C is the constant of integration. Since the body starts from rest, the initial velocity (u) is equal to zero, so C = 0.
Therefore, the velocity as a function of time is given by:
v = at
Substituting the values of a_x and a_y, we get:
v_x = -6/5t
v_y = -t
Step 3: Find the time when the y-component of velocity becomes zero
To find the time at which the y-component of velocity becomes zero, we can equate v_y to zero and solve for t:
- t = 0
Therefore, the y-component of velocity becomes zero at t = 0.
Answer:
The time at which the y-component of velocity becomes zero is t = 0.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is?
Question Description
A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is?.
A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is?.
Solutions for A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? defined & explained in the simplest way possible. Besides giving the explanation of
A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is?, a detailed solution for A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? has been provided alongside types of A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? theory, EduRev gives you an
ample number of questions to practice A body of mass 5 kg start from the origin with initial velocity u=(30i 40j)m/s if a constant force (-6i-5j)N acts on body the time in which y component of the velocity become zero is? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup