Question

2. A toy car with a mass of 35g (0.035kg) is moving clockwise around a loop-the-loop (a track in the shape of a circle that causes the toy car to travel along a circular trajectory) with a radius of R- 13cm (0.13m) as depicted in the diagram below. At the point shown (the - on the diagram below) its instantaneous speed (the magnitude of its velocity) is 1.5m/s and its speed is increasing at a rate of 7.1m/s2. (a) (4 points) What is the centripetal acceleration experienced by this toy car at the point shown in the diagram above? (b) (8 points) Your answer to 2. (a) should not be 7.1m/s2. Why not (think about and discuss what geometric aspect of the velocity is changing due to the centripetal acceleration and why this is different than the geometric aspect of the velocity which is changing at a rate of 7.1m/s2 at the point shown in the diagram)? (c) (6 points) Given the Cartesian coordinate system depicted in the diagram above (where the x- axis is tangent to the circular trajectory at the point shown and the y-axis is perpendicular to the circular trajectory at this point) write the acceleration of this toy car in i,j, k notation. (d) (4 points) For the point shown draw the acceleration of this toy car on the diagram above (at the point shown

Answer 1

adiu R 13 cm Co 13m) velocity 1. ร m/s 2 1- E u

2 cente peral aceeakhe acceahon of body due ho when an obet moves n a eficle1 a compone ay an SO