Will the cart\'s acceleration be constant during the following situations (expla

Question

Will the cart's acceleration be constant during the following situations (explain why or why not acceleration is constant):

Part A: Force vs. Ramp Angle (stationary cart)....A cart is placed on an elevated ramp (or tilted track). It rests against a hook on the ramp and the force can be measured. The force that is required to hold the cart in place is measured.

Part B: Cart acceleration vs. ramp angle...On an inclined ramp, a cart is allowed to roll up the ramp and return to its starting point.

Part C: Hand applied force and acceleration (flat track). A force sensor is placed on a cart and then two 500 g masses are added to the slot in the force sensor. This cart is thus placed on a flat track and is pushed and pulled so that + and - forces are generated.

Explanation / Answer

A) block is held at rest on incline .

block is in equilibrium that means Fnet = ma = 0

Or as block is not moving that means acceleartion of block is zero.

so constant acc.

B) force due to gravity will act downwards and it is constant.

Incase of frictionless surafce :

there is only gravitational force and from Fnet = ma

as Fnet is constant so acceleration will also be constant .

In case of friction.

as cart is going up friction will act donwads along the ramp when cart is going down then friction will act upwards along the incline.

as force is changing so acceleration will also change.

C) as cart is pushed and pulled means direction of force is changing.

force is vector quantity so direction matters.

as force is changing that means acceleration is also changing.

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