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Standard XII

Physics

Uniform and Non Uniform

A body of mas...

Question

A body of mass $m_{1}$ projected vertically upwards with an initial velocity u reaches a maximum height h. Another body of mass $m_{2}$ is projected along an inclined plane making an angle $30^{0}$ with the horizontal and with speed u. The maximum distance travelled along the incline is

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\frac{h}{2}

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\frac{h}{4}

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Solution

The correct option is C 2h
When thrown vertical, $v^{2} - u^{2} = 2 g h; v = 0$
On inclined plane, $v^{2} - u^{2} = 2 g s i n θ h_{1} = g h_{1} a s θ = 30^{o}$
From above equations, $h_{1} = 2 h$

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A body of mass m1 projected vertically upwards with an initial velocity u reaches a maximum height h. Another body of mass m2 is projected along an inclined plane making an angle 300 with the horizontal and with speed u. The maximum distance travelled along the incline is

The correct option is C 2hWhen thrown vertical, v2−u2=2gh;v=0On inclined plane, v2−u2=2gsinθh1=gh1 as θ=30oFrom above equations, h1=2h

A body of mass $m_{1}$ projected vertically upwards with an initial velocity u reaches a maximum height h. Another body of mass $m_{2}$ is projected along an inclined plane making an angle $30^{0}$ with the horizontal and with speed u. The maximum distance travelled along the incline is

The correct option is C 2h
When thrown vertical, $v^{2} - u^{2} = 2 g h; v = 0$
On inclined plane, $v^{2} - u^{2} = 2 g s i n θ h_{1} = g h_{1} a s θ = 30^{o}$
From above equations, $h_{1} = 2 h$