Acceleration Down an Ineline Purpose The purpose for this experiment is to study
ID: 1882176 • Letter: A
Question
Acceleration Down an Ineline Purpose The purpose for this experiment is to study the acceleration of a cart on an inclined track. The relationship between acceleration and the angle of the inclined track will be observed. From your data, you can calculate the acceleration due to gravity,g Theory A cart of mass m will roll down an inclined track due to gravity. The gravitational force on the cart, (mg), also known as its weight, pulls the cart toward the center of the earth (straight down as shown in Figure 1.1), but because the track is a rigid body, the cart cannot fall straight down through it, and will instead move downhill on its surface. In order to derive the acceleration along the incline, we begin with Newton's 2d Law: Fnet ma, where F is the net force on the cart and a is its acceleration. As shown in figure 1.1, the component of the weight perpendicular to the track's surface and the normal force of the track's surface are of equal magnitudes and opposite directions, so they add up to zero. Hence, the net force acting on the body will be only that component of its weight in the direction parallel to the track. Therefore, net mg sin Substituting ma from equation 1 for F in equation 2 yields ma-mg sin . Dividing both sides by m results in a- gsin6. Normal force mgsin 6 mg cos Figure 1.1Explanation / Answer
We have checked the calculations done by you. They are all accurate. Acceleration due to gravity and percentage error calculated are all correct.