Consider an object on an incline with no friction. You take data on its position

Question

Consider an object on an incline with no friction. You take data on its position, velocity and acceleration for various inclinations of the incline. Note incline is defined as having an sloped angle and therefore not horizontal or vertical. Within the accuracy of your measurements, i.e., ignoring wiggles in your measurements due to experimental uncertainties, pick the true statement amongst the lee. O It is possible to obtain straight line position, velocity and acceleration graphs. It is only possible to obtain straight line graphs for velocity and acceleration versus time graphs, but not the position versus time graph. O It is possible to obtain a straight line position versus time graph. It is only possible to obtain a straight line velocity versus time graph. It is only possible to obtain a straight line acceleration versus time graph + Question Details My Notes Pick the true statement amongst the following for a cart on an incline with no friction. (This is about the cart's motion after it has been pushed.) The acceleration depends on mass of cart and angle of inclination. The acceleration does not depend on initial velocity but it depends on angle of inclination. The acceleration depends on mass of cart and initial velocity O The acceleration depends on angle of inclination and initial velocity All of the above statements are false Question Details My Notes Make a graph of the acceleration (y-axis) versus the angle of inclination (x-axis) of a cart rolling freely on a track. The angle is measured with respect to the horizontal so that 90° is vertical and 0° is horizontal. Include several points equally spaced between 0 and 90 degrees. Downward is negative. Your graph of acceleration versus angle is best fit by which of the following? O The question did not state which direction the cart was moving so there is not enough information. a constant O a nonlinearly decreasing function of the angle of inclination a lnearly increasing function of the angle of inclination a linearly decreasing function of the angle of inclination

Explanation / Answer

(1)

lt is possible to obtain to straight line position graph but only at 0 deg. On incline theta more that 0, it is not possible.

For velocity - lt will increase constantly with time. so, graph will be straight line.

For acceleration - a = F / m

a = mgsin(theta) / m = gsin(theta)

a-t graph will be straight line but horizontal line.

so, second option is correct (lt is possible to obtain straight line velocity and acceleration graph but not possible for

position graph).

(2)

At incline,

acceleration a = gsin(theta)

lt does not depends on initial velocity, only depends on angle of inclination.

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---