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Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is:
- a)16 m/s2
- b)8 m/s2
- c)4 m/s2
- d)2 m/s2
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two rubber bands stretched the standard distance cause an object to ac...
Explanation:
To solve this problem, we can use the formula for acceleration:
acceleration = force / mass
Step 1: Finding the force exerted by two rubber bands stretched to the standard distance on the first object.
Given that the acceleration of the first object is 2 m/s^2, we can rearrange the formula to solve for force:
force = acceleration * mass
Since the mass of the first object is not given, we'll call it "m". So the force exerted by the two rubber bands is:
force1 = 2 m/s^2 * m
Step 2: Finding the force exerted by four rubber bands stretched to the standard distance on the second object.
The second object has twice the mass of the first object, so its mass is 2m. Using the same formula, we can find the force exerted by the four rubber bands:
force2 = acceleration * mass
force2 = 2 m/s^2 * 2m
Step 3: Comparing the forces exerted on the two objects.
Since force1 is equal to 2m and force2 is equal to 4m, we can see that force2 is twice the value of force1.
Step 4: Finding the acceleration of the second object.
Since force is directly proportional to acceleration (assuming mass remains constant), if the force exerted on the second object is twice the force exerted on the first object, then the acceleration of the second object will also be twice the acceleration of the first object.
Therefore, the acceleration of the second object is 2 * 2 m/s^2 = 4 m/s^2.
Conclusion:
The acceleration of the second object, pulled by four rubber bands stretched to the standard distance, is 4 m/s^2. Therefore, the correct answer is option C.
To solve this problem, we can use the formula for acceleration:
acceleration = force / mass
Step 1: Finding the force exerted by two rubber bands stretched to the standard distance on the first object.
Given that the acceleration of the first object is 2 m/s^2, we can rearrange the formula to solve for force:
force = acceleration * mass
Since the mass of the first object is not given, we'll call it "m". So the force exerted by the two rubber bands is:
force1 = 2 m/s^2 * m
Step 2: Finding the force exerted by four rubber bands stretched to the standard distance on the second object.
The second object has twice the mass of the first object, so its mass is 2m. Using the same formula, we can find the force exerted by the four rubber bands:
force2 = acceleration * mass
force2 = 2 m/s^2 * 2m
Step 3: Comparing the forces exerted on the two objects.
Since force1 is equal to 2m and force2 is equal to 4m, we can see that force2 is twice the value of force1.
Step 4: Finding the acceleration of the second object.
Since force is directly proportional to acceleration (assuming mass remains constant), if the force exerted on the second object is twice the force exerted on the first object, then the acceleration of the second object will also be twice the acceleration of the first object.
Therefore, the acceleration of the second object is 2 * 2 m/s^2 = 4 m/s^2.
Conclusion:
The acceleration of the second object, pulled by four rubber bands stretched to the standard distance, is 4 m/s^2. Therefore, the correct answer is option C.
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Community Answer
Two rubber bands stretched the standard distance cause an object to ac...
16m/s2
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Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is:a)16 m/s2b)8 m/s2c)4 m/s2d)2 m/s2Correct answer is option 'C'. Can you explain this answer?
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Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is:a)16 m/s2b)8 m/s2c)4 m/s2d)2 m/s2Correct answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is:a)16 m/s2b)8 m/s2c)4 m/s2d)2 m/s2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two rubber bands stretched the standard distance cause an object to accelerate at 2 m/s2. Suppose another object with twice the mass is pulled by four rubber bands stretched the standard length. The acceleration of this second object is:a)16 m/s2b)8 m/s2c)4 m/s2d)2 m/s2Correct answer is option 'C'. Can you explain this answer?.
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