__Total Impulse Formula:__

__Total Impulse Formula:__

Enter the values of thrust, F_{(N)} and change in time, dt_{(s)} to determine the values of Total impulse, I_{t(N-s)}.

__Total Impulse Calculator:__

__Total Impulse Calculator:__

Total impulse signifies the cumulative effect of all forces acting on an object over a specific period. It is a vector quantity, typically measured in newton-seconds and represents the change in momentum of an object due to the combined effects of multiple forces.

A stronger force (higher magnitude) applied for a given time interval will result in a greater total impulse compared to a weaker force.

A longer duration of force application (larger sum of dt) contributes to a higher total impulse.

A force (Ft) acts on an object for a short time interval (dt). This force causes a change in the object’s momentum (mass times velocity).

We repeat steps 1 and 2 by considering multiple small-time intervals (summation) to capture the total effect of the force throughout the interaction.

By summing the product of force and each time interval (Σ Ft * dt), we calculate the total impulse (Itotal) experienced by the object.

Total impulse is calculated by summing the products of each force and the time interval over which it acts.

Total impulse, I_{t(N-s)} is calculated by multiplying the sum of thrust, F_{(N)} in Newtons by the change in time, dt_{(s)} in seconds.

Total impulse, I_{t(N-s)} = F_{(N)} * dt_{(s)}

I_{t(N-s)} = total impulse in Newton seconds, N-s.

F_{(N)} = thrust in Newton, N.

dt_{(s)} = change in time in seconds, s.

__Total Impulse Calculation:__

__Total Impulse Calculation:__

- Finding Total Impulse (Itotal) Using Multiple Forces and Time Intervals:

Given: F_{1(N)} = 10N, dt_{1(s)} =2s.

F_{1(N)} = 15N, dt_{1(s)} = 3s.

Total impulse, I_{t(N-s)} = F_{(N)} * dt_{(s)}

I_{t(N-s)} = (10 * 2) + (15 * 3)

I_{t(N-s)} = 20 + 45

I_{t(N-s)} = 65N.

**Finding Time Interval (Δt) Using Total Impulse and Force****:**

Given: F_{(N)} =25N, I_{t(N-s)} = 100N.

Total impulse, I_{t(N-s)} = F_{(N)} * dt_{(s)}

dt_{(s)} = I_{t(N-s)} / F_{(N)}

dt_{(s)} = 100 / 25

dt_{(s)} = 4s.