So the magnitude of the impulse given is 50 kg m/s.
An impulse is defined as the force applied for a time. For a force with a constant magnitude, we can find the magnitude of the impulse by multiplying the magnitude of the force by the time that force is exerted. If the force is not constant, we simply integrate the force function over the set time period.
Impulse is denoted by J. And mathematically it is given as
J= Ft = Δp
And Δp is the change in momentum of the body which is given so we get,
J=50kg m/s
which is required impulse.
For further information about impulse:
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