A pitcher on the UMassD baseball team throws a 5 oz baseball with a diameter of

Question

A pitcher on the UMassD baseball team throws a 5 oz baseball with a diameter of 3  inches at a speed of 180 miles per hour at a 2 pound catchers mitt fastened to a 100 pound block of wood.  The mitt is fastened by nails directly to the block of wood.  The block is sitting on smooth vinyl surface with an 0.2 coefficient of kinetic friction.  The ball hits the mitt and is retained in the mitt.  

How far will the mitt and wood block slide before coming to a stop?

What is the velocity of the ball, mitt, and wood block at ther instant the ball is

Explanation / Answer

Mass of baseball = 5 oz = .3125 pound

Speed of baseball = 180 miles/hr

Momentum = .3125*180 = 56.25 (pound*miles/hr)

Total weight of mitt, baseball and block of wood = 100 + 2 + .3125 = 102.3125 pounds = 46.408 kg

By momentum balance

Initial velocity of the whole system = 56.25/102.3125 = 0.5498 miles/hr = 0.24538 m/s

Force exerted due to friction = 46.408*9.8*.2 = 90.96 N

Deceleration = 1.96 m/(sq. sec)

Displacement of system = (.24538*.24538)/(2*1.96) = 15.36 millimeter

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.