Consider a cart on a smooth incline. The incline makes an angle 0 with the horizontal....

  

 

Transcribed Image Text:

Consider a cart on a smooth incline. The incline makes an angle 0 with the horizontal. In two cases, the cart is pushed up the incline by a force F, whose magnitude is greater than the weight of the cart. In Case A, the force is applied parallel to the incline; in Case B, the force is applied horizontally (parallel to the ground). In both cases, the cart is pushed from rest a length L up the incline and attains a final speed v, in Case A and a final speed v, in Case B. Case A Case B Argumentation PART A: The two final speeds are related according to the inequality va > Vg. i. Explain why this is the case by discussing specific forces and force components. ii. Explain why this is the case by discussing specific energy transformations. Consider a cart on a smooth incline. The incline makes an angle 0 with the horizontal. In two cases, the cart is pushed up the incline by a force F, whose magnitude is greater than the weight of the cart. In Case A, the force is applied parallel to the incline; in Case B, the force is applied horizontally (parallel to the ground). In both cases, the cart is pushed from rest a length L up the incline and attains a final speed v, in Case A and a final speed v, in Case B. Case A Case B Argumentation PART A: The two final speeds are related according to the inequality va > Vg. i. Explain why this is the case by discussing specific forces and force components. ii. Explain why this is the case by discussing specific energy transformations.