A ball projected with K:E E at angle of 45to the horizontal .At the height point during its flight its K:E will be????
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Answer :
Angle of projection = 45°
Kinetic energy at initial point = E
We have to find kinetic energy of ball at highest point
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◈ Let a ball of mass m is projected at initial speed of u.
Kinetic energy at initial point :
➝ Ki = 1/2 mu²
ATQ, Ki = E
Therefore, 1/2 mu² = E
Speed at highest point = u cosΦ
Kinetic energy at highest point :
➝ K = 1/2 m(u cosΦ)²
➝ K = 1/2 mu² × cos²45°
➝ K = (E) × (1/√2)²
➝ K = E/2
Hence, Kinetic energy of ball at highest point will be E/2.
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