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A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?
- a)3 ms–2
- b)4 ms–2
- c)6 ms–2
- d)12 ms–2
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m...
To solve this problem, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In equation form, this is expressed as F = m * a.
Let's analyze the given information step by step:
1. Force acting on mass M1: The force acting on mass M1 is 5 N, and its acceleration is given as 8 m/s^2. Using Newton's second law, we can calculate the mass M1 as follows:
F = m1 * a1
5 N = m1 * 8 m/s^2
m1 = 5 N / 8 m/s^2
m1 = 0.625 kg
2. Force acting on mass M2: The force acting on mass M2 is also 5 N, but its acceleration is given as 24 m/s^2. Using Newton's second law, we can calculate the mass M2 as follows:
F = m2 * a2
5 N = m2 * 24 m/s^2
m2 = 5 N / 24 m/s^2
m2 = 0.208 kg
3. Combined force acting on both masses: When the masses M1 and M2 are tied together, the force acting on them remains the same, which is 5 N. The total mass of the combined system is the sum of the individual masses, given by:
Total mass = m1 + m2
Total mass = 0.625 kg + 0.208 kg
Total mass = 0.833 kg
Now, we can find the acceleration of the combined system by rearranging Newton's second law equation:
F = m * a
5 N = 0.833 kg * a
a = 5 N / 0.833 kg
a ≈ 6 m/s^2
Therefore, the acceleration when both masses are tied together is approximately 6 m/s^2. Hence, the correct answer is option 'C'.
Let's analyze the given information step by step:
1. Force acting on mass M1: The force acting on mass M1 is 5 N, and its acceleration is given as 8 m/s^2. Using Newton's second law, we can calculate the mass M1 as follows:
F = m1 * a1
5 N = m1 * 8 m/s^2
m1 = 5 N / 8 m/s^2
m1 = 0.625 kg
2. Force acting on mass M2: The force acting on mass M2 is also 5 N, but its acceleration is given as 24 m/s^2. Using Newton's second law, we can calculate the mass M2 as follows:
F = m2 * a2
5 N = m2 * 24 m/s^2
m2 = 5 N / 24 m/s^2
m2 = 0.208 kg
3. Combined force acting on both masses: When the masses M1 and M2 are tied together, the force acting on them remains the same, which is 5 N. The total mass of the combined system is the sum of the individual masses, given by:
Total mass = m1 + m2
Total mass = 0.625 kg + 0.208 kg
Total mass = 0.833 kg
Now, we can find the acceleration of the combined system by rearranging Newton's second law equation:
F = m * a
5 N = 0.833 kg * a
a = 5 N / 0.833 kg
a ≈ 6 m/s^2
Therefore, the acceleration when both masses are tied together is approximately 6 m/s^2. Hence, the correct answer is option 'C'.
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Community Answer
A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m...
F = 5 N, a1 = 8 ms–2, a2 = 24 ms–2
⇒ F = m1a1 ⇒ m1 = 5/8, f = m2a2 ⇒ m2 = 5/24
For two bodies combined, f = (m1 + m2) a
m1 + m2= 5/8 + 5/24 = 20/24 = 5/6 kg. f = 5N
∴ 5 = 5/6a ⇒ a = 6 ms-2
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A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer?
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A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer? 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 force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer?.
A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer? 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 force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force of 5 N gives a mass M1, an acceleration equal to 8 ms–2 and m2 an acceleration of 24 ms–2 What is the acceleration if both the masses are tied together?a)3 ms–2b)4 ms–2c)6 ms–2d)12 ms–2Correct answer is option 'C'. Can you explain this answer?.
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