A 14 lb bowling ball is thrown onto a lane with a backspin angular speed of 10 rad/s and forward velocity of 25 ft/s. After a few seconds, the ball starts rolling without slip and forward velocity of 17.2 ft/s and angular velocity of 48.6 rad/s. The ball has a mass moment of inertia of 0.0204 slugs-ft2. Determine the work done by friction on the ball from the initial time until when it starts rolling without slip.

Explanation:

The situation is modelled after the Principle of Energy Conservation and Work-Energy Theorem:

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

6 cos 34, 6 sin 34 trig