Question

A car is moving forward at 0.35 m/s. Attached to the rear-view mirror is a small air freshener with a string that is 15 cm

Answer 1

Answer:

$16.6^{o}$

Explanation:

From the law of conservation of energy, the potential energy is converted to kinetic energy hence

$mgh=0.5mv^{2}$ where m is mass, g is acceleration due to gravity considered as 9.1m/s2, h is height and v is the velocity

$gh=0.5v^{2}$ and making h is the subject

$h=0.5v^{2}/g=0.5(0.35^{2})/9.81= 0.006244 m or 0.6244 cm$

Also, $h=L-Lcos\theta$ where L is the length of string given as 15 cmand $\theta$ is the angle of inclination

$h=L(1-cos\theta)$

$1-cos\theta=\frac {h}{L}=\frac {0.6244}{15}=0.041624$

$cos\theta=1-0.041624=0.958376$

$\theta=cos^{-1}(0.958376)= 16.58932^{o}$

Therefore, $\theta$ is approximately $16.6^{o}$