A 3-kg model rocket is launched straight up with sufficient initial speed to reach a maximum height of 100 m, even though air resistance (a nonconservative force) performs - 900 J of work on the rocket. The height the rocket would have gone without air resistance will be

70 m

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130 m

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180 m

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230 m

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Solution

The correct option is A 130 m
P.E on reaching a height of $100 m = m g h$ $= 3 \times 10 \times 100$

Total initial $K . E = 3000 + 900$ $= 3900 J$
Max height $= \frac{(K . E) initial}{m g}$ $= \frac{3900}{3 \times 10}$ $= 130 m$

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A 3-kg model rocket is launched straight up with sufficient initial speed to reach a maximum height of 100 m, even though air resistance (a nonconservative force) performs - 900 J of work on the rocket. The height the rocket would have gone without air resistance will be

The correct option is A 130 mP.E on reaching a height of 100 m=mgh =3×10×100Total initial K.E=3000+900 =3900 JMax height =(K.E)initialmg =39003×10 =130 m

The correct option is A 130 m
P.E on reaching a height of $100 m = m g h$ $= 3 \times 10 \times 100$

Total initial $K . E = 3000 + 900$ $= 3900 J$
Max height $= \frac{(K . E) initial}{m g}$ $= \frac{3900}{3 \times 10}$ $= 130 m$