(Solved): part A please (10\%) Problem 7: A toy car is rolling down the ramp as shown in the figure. The car's ...

(10\%) Problem 7: A toy car is rolling down the ramp as shown in the figure. The car's mass is \( m=1.4 \mathrm{~kg} \) and the ramp makes an angle of \( \theta=12 \) degrees with respect to the horizontal. Assume the car is rolling without friction. Etheexpertta.com 20 \( 50 \% \) Part (a) Using the coordinate system specified, give an expression for the acceleration of the car in terms of \( \theta, g \), and the unit vectors \( i \) and \( \mathbf{j} \). \( a=g \sin (\theta) \cos (\theta)-g \sin (\theta) \quad \times \) stitempts Remain \( 50 \% \) Part (b) What is the magnitude of this acceleration in \( \mathrm{m} / \mathrm{s}^{2} \) ?