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A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together?
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A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an ...
Introduction:
In this scenario, we have two masses, m1 and m2, which are subjected to a force of 5 N. We are given that this force produces an acceleration of 8 m/s^2 on mass m1 and an acceleration of 24 m/s^2 on mass m2. We are required to find the acceleration when both masses are tied together.
Given:
Force (F) = 5 N
Acceleration on m1 (a1) = 8 m/s^2
Acceleration on m2 (a2) = 24 m/s^2
Explanation:
To find the acceleration when both masses are tied together, we need to consider the concept of 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.
Step 1: Finding the mass of m1:
Using the formula F = ma, we can rearrange it to find the mass of m1:
5 N = m1 * 8 m/s^2
m1 = 5 N / 8 m/s^2
m1 = 0.625 kg
Step 2: Finding the mass of m2:
Using the same formula, we can find the mass of m2:
5 N = m2 * 24 m/s^2
m2 = 5 N / 24 m/s^2
m2 = 0.208 kg
Step 3: Finding the combined mass:
Since the masses are tied together, we can find the combined mass by adding the individual masses:
Combined mass (m) = m1 + m2
m = 0.625 kg + 0.208 kg
m = 0.833 kg
Step 4: Finding the acceleration:
Now, we can use the formula F = ma to find the acceleration when both masses are tied together:
5 N = 0.833 kg * a
a = 5 N / 0.833 kg
a ≈ 6 m/s^2
Conclusion:
Therefore, when both masses are tied together, the force of 5 N produces an acceleration of approximately 6 m/s^2.
In this scenario, we have two masses, m1 and m2, which are subjected to a force of 5 N. We are given that this force produces an acceleration of 8 m/s^2 on mass m1 and an acceleration of 24 m/s^2 on mass m2. We are required to find the acceleration when both masses are tied together.
Given:
Force (F) = 5 N
Acceleration on m1 (a1) = 8 m/s^2
Acceleration on m2 (a2) = 24 m/s^2
Explanation:
To find the acceleration when both masses are tied together, we need to consider the concept of 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.
Step 1: Finding the mass of m1:
Using the formula F = ma, we can rearrange it to find the mass of m1:
5 N = m1 * 8 m/s^2
m1 = 5 N / 8 m/s^2
m1 = 0.625 kg
Step 2: Finding the mass of m2:
Using the same formula, we can find the mass of m2:
5 N = m2 * 24 m/s^2
m2 = 5 N / 24 m/s^2
m2 = 0.208 kg
Step 3: Finding the combined mass:
Since the masses are tied together, we can find the combined mass by adding the individual masses:
Combined mass (m) = m1 + m2
m = 0.625 kg + 0.208 kg
m = 0.833 kg
Step 4: Finding the acceleration:
Now, we can use the formula F = ma to find the acceleration when both masses are tied together:
5 N = 0.833 kg * a
a = 5 N / 0.833 kg
a ≈ 6 m/s^2
Conclusion:
Therefore, when both masses are tied together, the force of 5 N produces an acceleration of approximately 6 m/s^2.
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A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an ...
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A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together?
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A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together? 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 produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together? 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 produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together?.
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