A shot-putter puts a shot (weight=71.1N) that leaves his hand at adistance of 1.52m above the ground. (a) Find the work done by thegravitational force when the shot has risen to a height of 2.13mabove the ground. (b) Determine the change(ΔPE=PEfinal-PEinitial) in the gravitationalpotential energy of the shot.

Need help with B

Respuesta :

Explanation:

It is given that,

weight of the shot- putter, W = 71.1 kg

Initial position, [tex]x_i=1.52\ m[/tex]

Final position, [tex]x_f=2.13\ m[/tex]

To find,

Work done and the change in potential energy.

Solution,

(a) Let W is the work done by the gravitational force when the shot has risen to a height of 2.13 m above the ground. It is given by :

[tex]W_f=F\times x_f[/tex]

[tex]W_f=71.1\times 2.13[/tex]

[tex]W_f=151.44\ J[/tex]

(b) We know that the potential energy is equal to the work done by an object such that,

[tex]\Delta P=P_f-P_i[/tex]

[tex]\Delta P=W_f-W_i[/tex]

[tex]\Delta P=151.44-71.1\times 1.52[/tex]

[tex]\Delta P=43.36\ J[/tex]

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