Skater in a Bowl#

content/public/007.Momentum and Impulse/Conservation of Momentum/Skater in a Bowl/MarbleinaBowl.png

A skater dips into a hemispherical bowl (\(r_0 = {{params.ro}}m\)) with an initial velocity of \(v_0 = {{params.vo}}m/s\) tangent to the horizontal rim of the bowl. As the skater rounds the bowl, its rotational radius \(r\) shrinks. As the skater passes point B, which is \(h = {{params.h}}m\) below the rim, and \(r\) from the centre line, the velocity makes an angle \(\theta\) with the horizontal tangent of the bowl through B. Determine \(\theta\).

Part 1#

Answer Section#

Please enter in a numeric value in \(^\circ\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.