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A force of 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were tied together?
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A force of 7N gives a mass m1, an acceleration of 14m/s and a mass m2,...
Combined Acceleration of Masses
The force of 7N acting on mass m1 gives it an acceleration of 14m/s^2. Similarly, the same force acting on mass m2 gives it an acceleration of 28m/s^2. Now, let's calculate the combined acceleration when both masses are tied together.
Calculating individual accelerations
- For mass m1: F = m1 * a1
- 7 = m1 * 14
- m1 = 0.5kg
- For mass m2: F = m2 * a2
- 7 = m2 * 28
- m2 = 0.25kg
Calculating combined acceleration
- Total mass when both masses are tied together: m1 + m2 = 0.5 + 0.25 = 0.75kg
- Using the same force of 7N on the combined mass:
- F = (m1 + m2) * a_combined
- 7 = 0.75 * a_combined
- a_combined = 9.33 m/s^2
Therefore, when both masses are tied together, they will have a combined acceleration of 9.33m/s^2. This acceleration is lower than the individual accelerations of the masses m1 and m2 because the total mass is higher when they are tied together, resulting in a lower acceleration for the combined system.
The force of 7N acting on mass m1 gives it an acceleration of 14m/s^2. Similarly, the same force acting on mass m2 gives it an acceleration of 28m/s^2. Now, let's calculate the combined acceleration when both masses are tied together.
Calculating individual accelerations
- For mass m1: F = m1 * a1
- 7 = m1 * 14
- m1 = 0.5kg
- For mass m2: F = m2 * a2
- 7 = m2 * 28
- m2 = 0.25kg
Calculating combined acceleration
- Total mass when both masses are tied together: m1 + m2 = 0.5 + 0.25 = 0.75kg
- Using the same force of 7N on the combined mass:
- F = (m1 + m2) * a_combined
- 7 = 0.75 * a_combined
- a_combined = 9.33 m/s^2
Therefore, when both masses are tied together, they will have a combined acceleration of 9.33m/s^2. This acceleration is lower than the individual accelerations of the masses m1 and m2 because the total mass is higher when they are tied together, resulting in a lower acceleration for the combined system.
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A force of 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were tied together?
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A force of 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were 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 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were 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 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were tied together?.
A force of 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were 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 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were 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 7N gives a mass m1, an acceleration of 14m/s and a mass m2, an acceleration of 28m/s. What acceleration would it give if both the masses were tied together?.
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