The magnitude of the momentum of a material point is 100 kg * m / s. Under the action of a constant

The magnitude of the momentum of a material point is 100 kg * m / s. Under the action of a constant force in a time of 1/4 with an impulse vector of 90 degrees. Calculate the amount of force.

The magnitude of the impulse change is equal to the product of the force produced by the given change by the time of the force action:

Δp = F / t.

Since the direction of the impulse has changed by 90 degrees, we find the amount of change using the Pythagorean theorem:

Δp = √ (p1 ^ 2 + p2 ^ 2) = √ (100 ^ 2 + 100 ^ 2) = 100 * √2.

Then:

F = Δp / t = 100 * √2: 1/4 = 400√2 n.

Answer: the required value of the force was 400√2 Newtons.