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Step 1: List the known quantities. m = 3.0 kg. u = 0 m s -1 (since it is initially at rest) Step 2: Calculate the impulse. The impulse is the area under the graph. The graph can be split up into two right-angled triangles with a base of 8 s and a height of 4 kN. Area = impulse = 32 × 10 3 Ns. Step 3: Write the equation for impulse.
Δ p = F net Δ t . F net Δ t is known as impulse and this equation is known as the impulse-momentum theorem. From the equation, we see that the impulse equals the average net external force multiplied by the time this force acts. It is equal to the change in momentum.
Using the given data about the meteor, and making reasonable guesses about the shape of the meteor and impact time, we first calculate the impulse using Equation \ref{9.6}. We then use the relationship between force and impulse Equation \ref{9.5} to estimate the average force during impact.
Step 1: List the known quantities. Mass, m = 3.0 kg. Initial velocity, u = 0 m s -1 (since it is initially at rest) Step 2: Calculate the impulse. The impulse is the area under the graph. The graph can be split up into two right-angled triangles with a base of 8 s and a height of 4 kN. Area = Impulse = 32 × 10 3 N s.
The force the phone experiences is due to the impulse applied to it by the floor when the phone collides with the floor. Our strategy then is to use the impulse-momentum relationship. We calculate the impulse, estimate the impact time, and use this to calculate the force.
To calculate the impulse using Equation 9.3, we need to know the force function F (t), which we often don’t. However, a result from calculus is useful here: Recall that the average value of a function over some interval is calculated by. f (x) ave = 1 Δ x ∫ x i x f f (x) d x. where Δ x = x f − x i.
Describe effects of impulses in everyday life. Determine the average effective force using graphical representation. Calculate average force and impulse given mass, velocity, and time. The effect of a force on an object depends on how long it acts, as well as how great the force is.
