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A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1?
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A force gives an object of mass M1 and acceleration of 12 metre per se...
Since we know the value of acceleration for the first object so the mass of that object will be given as m1 = F/12 and the mass of the second object will be m2 = F/10.
Now, the ratio will be, m2/m1 = 12/10.
Therefore the mass difference is m2-m1 = m1*{(12/10)- 1} = 2m1/5=0.4m1.
For the acceleration of the masses m2-m1 we will get the acceleration of a2-a1 = 12/0.4 = 30 m/s^2
Now, for the masses m2+m1 the acceleration that we will get is a2+a1 = 12/(0.4+1)=12/1.4 = 8.5 m/s^2.
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A force gives an object of mass M1 and acceleration of 12 metre per se...
Acceleration and Force: Mass and Acceleration Relationship
Introduction:
When a force is applied to an object, it causes the object to accelerate. The acceleration of an object depends on both the magnitude of the force and the mass of the object. In this scenario, we have two objects with different masses, M1 and M2, and we want to compare the accelerations they experience when acted upon by a force.
Given Data:
- Mass of object M1 = M1
- Acceleration of object M1 = 12 m/s²
- Mass of object M2 = M2
- Acceleration of object M2 = 10 m/s²
Calculating the Ratio of Accelerations:
To find the ratio of the accelerations, we need to compare the forces acting on the two objects. According to Newton's second law of motion, the force acting on an object is equal to the product of its mass and acceleration:
Force = Mass × Acceleration
Let's denote the force acting on object M1 as F1 and the force acting on object M2 as F2.
1. Force on Object M1:
F1 = M1 × 12 m/s² (Equation 1)
2. Force on Object M2:
F2 = M2 × 10 m/s² (Equation 2)
Comparing the Forces:
To find the ratio of the accelerations, we can compare the forces acting on the two objects by dividing Equation 1 by Equation 2:
F1 / F2 = (M1 × 12 m/s²) / (M2 × 10 m/s²)
Simplifying the equation:
F1 / F2 = (M1 / M2) × (12 m/s² / 10 m/s²)
F1 / F2 = (M1 / M2) × (6/5)
Conclusion:
The ratio of the accelerations of object M1 and object M2 is equal to the ratio of their masses multiplied by the ratio of the given accelerations. Therefore, the ratio of the accelerations of the force acting on an object of mass (M2 - M1) and an object of mass (M2 + M1) would be the same as the ratio of (M2 - M1) to (M2 + M1) multiplied by the ratio of the given accelerations.
Introduction:
When a force is applied to an object, it causes the object to accelerate. The acceleration of an object depends on both the magnitude of the force and the mass of the object. In this scenario, we have two objects with different masses, M1 and M2, and we want to compare the accelerations they experience when acted upon by a force.
Given Data:
- Mass of object M1 = M1
- Acceleration of object M1 = 12 m/s²
- Mass of object M2 = M2
- Acceleration of object M2 = 10 m/s²
Calculating the Ratio of Accelerations:
To find the ratio of the accelerations, we need to compare the forces acting on the two objects. According to Newton's second law of motion, the force acting on an object is equal to the product of its mass and acceleration:
Force = Mass × Acceleration
Let's denote the force acting on object M1 as F1 and the force acting on object M2 as F2.
1. Force on Object M1:
F1 = M1 × 12 m/s² (Equation 1)
2. Force on Object M2:
F2 = M2 × 10 m/s² (Equation 2)
Comparing the Forces:
To find the ratio of the accelerations, we can compare the forces acting on the two objects by dividing Equation 1 by Equation 2:
F1 / F2 = (M1 × 12 m/s²) / (M2 × 10 m/s²)
Simplifying the equation:
F1 / F2 = (M1 / M2) × (12 m/s² / 10 m/s²)
F1 / F2 = (M1 / M2) × (6/5)
Conclusion:
The ratio of the accelerations of object M1 and object M2 is equal to the ratio of their masses multiplied by the ratio of the given accelerations. Therefore, the ratio of the accelerations of the force acting on an object of mass (M2 - M1) and an object of mass (M2 + M1) would be the same as the ratio of (M2 - M1) to (M2 + M1) multiplied by the ratio of the given accelerations.
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A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1?
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A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1?.
A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force gives an object of mass M1 and acceleration of 12 metre per second square and object of mass M2 an acceleration of 10 metre per second square the ratio of the accelerations of the force would give to an object of mass m 2 - M1 and M2 plus M1?.
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