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IMPULSE: An impulse is equal to the net force of the object times the time period over which the force is applied. The impulse equation is mathematically derived from the equation F = ma, which comes from Newton’s Second Law of Motion. Study the following. It shows the derivation of the impulse formula.
Line 1: Force equals mass times acceleration.
Line2: Substituting the definition of acceleration for “a” in the equation.
Line 3: Algebraic rearrangement. The force multiplied by the change in time equals the mass multiplied by the change in velocity.
The first line is our familiar equation F = ma.
The second line expresses the acceleration by its basic definition, a change in velocity divided by the change in time.
The third line is arrived at through algebra, by multiplying each side of the equation by delta t (which is the symbol for change in time), canceling it on the right, effectively moving it over to the left.
IMPULSE: An impulse is equal to the net force of the object times the time period over which the force is applied. The impulse equation is mathematically derived from the equation F = ma, which comes from Newton’s Second Law of Motion. Study the following. It shows the derivation of the impulse formula.
Line 1: Force equals mass times acceleration.
Line2: Substituting the definition of acceleration for “a” in the equation.
Line 3: Algebraic rearrangement. The force multiplied by the change in time equals the mass multiplied by the change in velocity.
The first line is our familiar equation F = ma.
The second line expresses the acceleration by its basic definition, a change in velocity divided by the change in time.
The third line is arrived at through algebra, by multiplying each side of the equation by delta t (which is the symbol for change in time), canceling it on the right, effectively moving it over to the left.
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