How is it possible for an object to obtain a larger impulse from a smaller force than from a larger force?

i have no clue how this can happen .....it seems impossible ..

impulse is Newtons* seconds

say you have the forces 1N and 2N. if you apply the 1N to an object for say 10 seconds then the impulse is 10N*s. when you apply the 2N force, it would take 5 seconds to match the same impulse as the 1N.

aka: if the smaller force is applied longer then it will have a greater impulse

thank you ..... :-)

It may initially seem counterintuitive, but it is indeed possible for an object to obtain a larger impulse from a smaller force compared to a larger force. To understand why this happens, you need to remember that impulse is the change in momentum of an object.

The impulse experienced by an object can be calculated by multiplying the force acting on the object by the time period during which the force is applied. Mathematically, impulse (J) is equal to the force (F) multiplied by the time interval (Δt): J = F * Δt.

When a smaller force is applied to an object over a longer period of time, the total impulse can increase. This is because the force is applied for a longer duration, allowing more time for the change in momentum to occur.

On the other hand, when a larger force is applied to an object over a shorter period of time, the total impulse can be smaller. This is because the force is applied for a shorter duration, resulting in smaller momentum change.

Therefore, an object can obtain a larger impulse from a smaller force over a longer period of time compared to a larger force acting for a shorter period of time. This concept is illustrated by the principle known as the impulse-momentum theorem.

It may seem counterintuitive, but it is indeed possible for an object to obtain a larger impulse from a smaller force compared to a larger force. This concept can be explained by considering the relationship between force, duration, and impulse.

Impulse is defined as the product of force and the time interval over which the force is applied. Mathematically, impulse (J) is calculated using the formula:

J = F * Δt

where F represents force and Δt represents the time interval over which the force is exerted.

Now, let's consider two scenarios:

Scenario 1: A larger force is applied for a shorter duration.
Scenario 2: A smaller force is applied for a longer duration.

In Scenario 1, a larger force is exerted for a shorter amount of time. The magnitude of the force is greater, but since the duration is shorter, the overall impulse may still be smaller. For example, if a force of 100 Newtons is applied for 1 second, the impulse would be 100 N * 1 s = 100 Ns.

In Scenario 2, a smaller force is exerted for a longer amount of time. The magnitude of the force is smaller, but since the duration is longer, the overall impulse may be larger. For instance, if a force of 50 Newtons is applied for 2 seconds, the impulse would be 50 N * 2 s = 100 Ns, which is the same as in Scenario 1.

So, although the force in Scenario 1 is larger, the total impulse can be smaller compared to the smaller force exerted for a longer duration in Scenario 2.

In summary, the key factor that affects impulse is the product of force and time, rather than just the force alone. It's important to consider both the magnitude of the force and the duration over which it is applied to understand how an object can obtain a larger impulse from a smaller force compared to a larger force.