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A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body is
- a)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.
- b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.
- c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.
- d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A body of mass 10 kg is acted upon by two perpendicular forces, 6 N an...
Here, m = 10 kg
The resultant force acting on the body is
F = √(8N)2 + (6N)2 = 10N
Let the resultant force F makes an angle θ w.r.t. 8N force.
From figure, tanθ = 6N/8N = 3/4
The resultant acceleration of the body is
The resulatnt acceleration is along the direction of the resulatnt force.
Hence, the resultant acceleration of the body is 1 ms−2 at an angle of tan−1(3/4) w.r.t. 8N force.
The resultant force acting on the body is
F = √(8N)2 + (6N)2 = 10N
Let the resultant force F makes an angle θ w.r.t. 8N force.
From figure, tanθ = 6N/8N = 3/4
The resultant acceleration of the body is
The resulatnt acceleration is along the direction of the resulatnt force.
Hence, the resultant acceleration of the body is 1 ms−2 at an angle of tan−1(3/4) w.r.t. 8N force.
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Community Answer
A body of mass 10 kg is acted upon by two perpendicular forces, 6 N an...
To find the resultant acceleration of the body, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Given:
Mass of the body (m) = 10 kg
Force 1 (F1) = 6 N
Force 2 (F2) = 8 N
We can find the resultant force (F) by using the Pythagorean theorem, as the two forces are perpendicular to each other:
F = √(F1^2 + F2^2)
= √(6^2 + 8^2)
= √(36 + 64)
= √100
= 10 N
Now, we can calculate the resultant acceleration (a) using Newton's second law:
F = m * a
10 = 10 * a
a = 1 m/s^2
So, the resultant acceleration of the body is 1 m/s^2.
Next, we need to find the angle at which this acceleration is inclined with respect to the 8 N force.
tanθ = (F1/F2)
tanθ = (6/8)
tanθ = 3/4
To find the angle θ, we take the inverse tangent (tan^-1) of the above value:
θ = tan^-1(3/4)
θ ≈ 36.87°
Therefore, the resultant acceleration of the body is 1 m/s^2 at an angle of approximately 36.87° with respect to the 8 N force.
Hence, the correct answer is option A.
Given:
Mass of the body (m) = 10 kg
Force 1 (F1) = 6 N
Force 2 (F2) = 8 N
We can find the resultant force (F) by using the Pythagorean theorem, as the two forces are perpendicular to each other:
F = √(F1^2 + F2^2)
= √(6^2 + 8^2)
= √(36 + 64)
= √100
= 10 N
Now, we can calculate the resultant acceleration (a) using Newton's second law:
F = m * a
10 = 10 * a
a = 1 m/s^2
So, the resultant acceleration of the body is 1 m/s^2.
Next, we need to find the angle at which this acceleration is inclined with respect to the 8 N force.
tanθ = (F1/F2)
tanθ = (6/8)
tanθ = 3/4
To find the angle θ, we take the inverse tangent (tan^-1) of the above value:
θ = tan^-1(3/4)
θ ≈ 36.87°
Therefore, the resultant acceleration of the body is 1 m/s^2 at an angle of approximately 36.87° with respect to the 8 N force.
Hence, the correct answer is option A.
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A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer?.
A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer?.
Solutions for A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
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A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body isa)1ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.b)0.2ms-2 at an angle of tan-1(3/4) w.r.t. 8 N force.c)1ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.d)0.2ms-2 at an angle of tan-1(4/3) w.r.t. 8 N force.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
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