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Prove that m = F / a According To Newton’s Second Law of Motion

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Prove that m = F / a or there is also an inverse relationship between mass (m) of the body and acceleration (a), if a force is applied on the body. We already know that according To Newton’s Second Law of Motion : F = ma  So, we have: m = F / a Let's say a body is moving an accelerations of 3 m/s 2 if we apply a Force of 30 N, then what is the mass (m) of the body? To Prove, We put the values in the equation, so that we can find the left hand side, which represents the mass of the body as shown below: m = F / a m = 30 / 3 = 10 Left Hand Side = m = 10Kg From Right Hand Side, we have: Right Hand Side = F / a Right Hand Side = 30 / 3 Right Hand Side = 10 Newton / ms- 2 Hence m = F / a Or  Right Hand Side =  Right Hand Side Hence it is proved that there is an inverse relationship between mass (m) of the body and acceleration (a), if a force (F) is applied on the body according to...

Prove that a = F / m According To Newton’s Second Law of Motion

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Here we need to prove that a = F / m or there is an inverse relationship between acceleration (a) and mass (m) of the body if a force is applied on the body. We already know that according To Newton’s Second Law of Motion : F = ma  So from this equation, we get: a = F / m Now, here is the proof that: a = F / m Suppose a body of Mass 10 kg is moving by applying a Force of 30 N, then what is the acceleration of the body? We know that: F = ma a = F / m a = 30 / 10 = 3 Left Hand Side = a = 3m/s 2 Now taking Right Hand Side, we get: Right Hand Side = F / a Right Hand Side = 30 / 10 Right Hand Side = 3 (Newton / Kg) Hence a = F / m Hence we have proved that there is an inverse relationship between a and m of the body according to Newton’s Second Law of Motion .

F = ma

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Physics Questions Answers This is the equation of Newton’s Second Law of Motion . Here F is the force applied on the body, m is the mass of the body which is inversely proportional to the applied force and a is the acceleration produced in the body by the force and it is directly proportional to the applied force. Examples of Newton’s Second Law of Motion Example No. 1 Suppose a body of Mass 20 kg is moving by applying a Force of 40 N, then what is the acceleration of the body? We know that: F = ma a = F / m a = 40 / 20 =2 a = 2m/s 2 Hence Acceleration is 2ms -2 and it is produced in the body when a force of 40 N is applied on the mass of 20 Kg. Example No. 2 Suppose a body of Mass 20 kg is moving by applying a Force. The body is moving with an acceleration of 2ms -2 , then what Force (F) was applied on body? We know that: F = ma F = 20 x 2 F = 40 N Hence Force is 40 N and it is a...

Newton's Second Law of Motion

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Here we discuss about Newton’s 2nd Law of Motion. Newton’s 2nd Law tells us that how a body behaves when there is not net force acting on it. The Newton’s 2nd Law states that: “The effect of an applied force on a body is to cause it to accelerate in the direction of Force. This Acceleration is directly or positively related to applied force and negatively or inversely related to mass of the body”. So, we can say that, New Second Law of Motion tells us that when we apply force to a body at its rest position, it will start to move in the direction of applied force till the end of applied force. Assumptions of the Law: 1. Suppose we apply force on a body that is moving in a straight line, then it will accelerate it velocity and the body will move as long as the force in in action. 2. If we apply the force on a body in the direction opposite to its motion, then the body will accelerate at low speed. If the applied force still continues in act...