Final Answer:
Both forces deliver the same impulse.(C)
Step-by-step explanation:
In this scenario, impulse is determined by the change in momentum, which in turn is the product of force and time. The formula for impulse is J = F * Δt. Graph A represents a hockey stick hitting a 160 g puck, while Graph B represents a golf club hitting a 46 g golf ball. Although the forces exerted may differ, impulse depends not only on force but also on the time over which the force is applied.
To find the impulse, we calculate the area under each force-versus-time graph. Despite the differences in the forces applied by the hockey stick and the golf club, the impulse is the same for both scenarios because impulse relies on both force and time. The hockey stick may exert a greater force, but it does so over a shorter time compared to the golf club, which exerts a slightly lesser force but over a longer duration. The product of force and time for both scenarios results in the same impulse, as the area under the graph, which represents impulse, remains equal.
Therefore, regardless of the variations in force between the hockey stick and the golf club, the duration over which the force is applied compensates for the differences in force, resulting in an equal impulse for both scenarios. This is due to the inverse relationship between force and time in determining the overall impulse.(C)