Īs per Newton’s second law, you can determine the new values of m 1 and v 1 when given the value of force acting on the body using the following formula:įollowing are some solved examples based on Newton’s second law of motion. The mass changes to values m 1, and the velocity becomes v 1. Also, the velocity and mass of the body undergo change during travel. When a force F is applied, it moves to point 1, defined by location X 1 and time t 1. Suppose a body at a point (0) defined by location X o and time t o has a mass m 0 and travels with a velocity v o. So, when the value of k is taken 1, the equation becomes, Newton’s second law of motion states that F ∝ △p/t Since it is known that (v-u)/ t is the expression for the acceleration of the body, on substituting the value, we get The expression can also be written as follows: Then, the rate of change of momentum is written as follows: Now, if you take the time interval for this change of momentum to be t. The change in momentum can be represented by the following mathematical expression: So, the initial momentum will be written as follows: The momentum of the body will be p = mass×velocity Let its initial velocity be u, and the final velocity be v. If you assume a moving point object to have mass = m, Newton’s Second Law of Motion Formula Derivation What would happen to acceleration if you double the force applied and double the mass of a body? If you apply more force, the distance covered by the ball will be more. It moves in the direction as per the amount of force applied. On kicking a ball, you apply a force on it in a specific direction.On applying the same force to move a car and a bike, the car’s acceleration will be lesser than the bike’s because the car has more mass.Pushing or pulling an empty cart can be compared to a loaded cart that has more mass.Some common applications of Newton’s second law of motion are mentioned below: However, when the object’s mass increases, the acceleration will decrease. So, on increasing the force applied to an object, the acceleration will increase too. Since F= ma, acceleration in a body will be directly proportional to the net force acting on it but inversely proportional to the body’s mass of the body. Newton’s second law suggests that the acceleration of a body is dependent on two variables. Newton’s second law of motion can be written in the following mathematical form. When the mass is constant, the force on the body equals mass times acceleration. Newton’s second law of motion definition : Force is equal to the momentum change rate. So, according to Newton, an unbalanced force accelerates an object. The first law of motion suggested that when the forces acting on a body are balanced, the acceleration is 0 m/s, i.e., the objects at equilibrium do not accelerate. The first law leaves you wondering what would happen when an external force is applied to the body? How would a change in balanced forces affect the state of equilibrium? The solution to your query lies in Newton’s second law of motion. It implies that objects at equilibrium have all forces balanced. Newton’s first law of motion introduced you to the concept of inertia and why a body at rest or in motion continues to be in that state.
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