The impulse I transferred by a force F to an object depends on the amount of time t during which the force acts on the object and is given by the equation:
[tex]I=F\cdot t[/tex]On the other hand, the force of gravity on an object with mass m is given by:
[tex]F=mg[/tex]Where g is the gravitational acceleration:
[tex]g=9.81\frac{m}{s^2}[/tex]First, replace m=0.500kg and the value of g to find the force of gravity that acts on the watermelon:
[tex]F=(0.500kg)(9.81\frac{m}{s^2})=4.905N[/tex]Next, replace F=4.905N and t=3.0s to find the impulse that the force gives to the watermelon in 3 seconds:
[tex]I=4.905N\cdot3.0s=14.715Ns\approx14.7Ns[/tex]Therefore, the force of gravity acting on the watermelon for 3.0s gives it an impulse of 14.7 Ns.
