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Suppose that a pitcher can throw a ball straight up at100mi/h

(about 45 m/s). Use energy conservation to calculate how high the baseball goes, Explain your work. Actually, a pitcher can’t attain this high a speed when throwing straight up, so your result will be an overestimate of what a human can do; air resistance also reduces the achievable height

Short Answer

Expert verified

The baseball goes 103.21 m in height

Step by step solution

01

Identification of Given Data

The speed of the baseball is45m/s

02

Significance of principle of energy conservation

The energy is produced or destroyed as per the conservation of energy principle. The principle says that the experimental observations depend on the cogency of the energy conservation.

According to the principle of energy conservation,

Loss of potential energy = Gain in kinetic energy

03

Calculation of the height goes by the baseball

To find the height goes by the baseball, we have to apply Principle of energy conservation,

h=v22g.........(1)

Where,

h=heightgoesbybaseballv=speedoftheball⇒45m/sg=accelerationduetogravity⇒9.81m/s

Substitute the values in Equation,

h=4522×9.81h=103.21m

Hence, the baseball goes103.21 mheight.

  • If we throw a baseballstraight up, it will experience deacceleration due to gravity.
  • When a baseball reaches maximum height, the kinetic energy will be zero.
  • The potential energy will become high.
  • When the gravitational force starts accelerating, the kinetic energy will become high.

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