NEET Exam > NEET Questions > A body with mass 5kg is acted upon by a force...
Start Learning for Free
A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second?
Most Upvoted Answer
A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If...
Given data:
- Mass of the body: 5 kg
- Force vector: F = (-3i + 4j) N
- Initial velocity at t = 0: u = (6i - 12j) m/s
Key formula:
The net force acting on a body is given by Newton's second law of motion:
F = m * a
Step 1: Calculate the acceleration
Using Newton's second law of motion, we can find the acceleration of the body.
F = m * a
(-3i + 4j) = 5 * a
So, a = (-3/5)i + (4/5)j
Step 2: Find the time when the body has velocity along the y-axis
To find the time at which the body will have a velocity along the y-axis, we need to determine when the x-component of the velocity becomes zero. Since the force is acting only in the x-direction and there is no external force acting in the y-direction, the y-component of the velocity will remain constant.
Step 3: Calculate the time
The x-component of the velocity can be calculated using the equation of motion:
v = u + at
0 = 6 + (-3/5)t
Solving the equation, we get:
t = 10 seconds
Step 4: Determine the answer
The time at which the body will have a velocity along the y-axis is 10 seconds.
Answer:
The correct option is (b) 10 seconds. At t = 10 seconds, the body will have a velocity along the y-axis.
- Mass of the body: 5 kg
- Force vector: F = (-3i + 4j) N
- Initial velocity at t = 0: u = (6i - 12j) m/s
Key formula:
The net force acting on a body is given by Newton's second law of motion:
F = m * a
Step 1: Calculate the acceleration
Using Newton's second law of motion, we can find the acceleration of the body.
F = m * a
(-3i + 4j) = 5 * a
So, a = (-3/5)i + (4/5)j
Step 2: Find the time when the body has velocity along the y-axis
To find the time at which the body will have a velocity along the y-axis, we need to determine when the x-component of the velocity becomes zero. Since the force is acting only in the x-direction and there is no external force acting in the y-direction, the y-component of the velocity will remain constant.
Step 3: Calculate the time
The x-component of the velocity can be calculated using the equation of motion:
v = u + at
0 = 6 + (-3/5)t
Solving the equation, we get:
t = 10 seconds
Step 4: Determine the answer
The time at which the body will have a velocity along the y-axis is 10 seconds.
Answer:
The correct option is (b) 10 seconds. At t = 10 seconds, the body will have a velocity along the y-axis.
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 with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second?
Question Description
A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? 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 with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second?.
A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? 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 with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second?.
Solutions for A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? 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 with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? defined & explained in the simplest way possible. Besides giving the explanation of
A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second?, a detailed solution for A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? has been provided alongside types of A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? theory, EduRev gives you an
ample number of questions to practice A body with mass 5kg is acted upon by a force F vector = (-3i 4j)N. If its initial velocity at t = 0 is u vector = (6i-12j) m/s , the time at which it will just have a velocity along y-axis is (a) never (b) 10 seconds (c) 2 seconds (d) 1 second? 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
|
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