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A body is thrown up with a velocity 100 ms-1. It travels 5 m in the last second of its journey.If the same body is thrown up with a velocity 200 ms-1, how much distance (in metre) will it travel in the last second? (take g=10 ms-2) Question: Solution: Distance travelled in the last second…
Question: A rocket is fired vertically up from the ground with a resultant vertical acceleration of 15 ms-2.The fuel is finished in 1 minute and it continues to move up.What is the time taken for the rocket to reach its maximum point? (take g =10 ms-2 ) Solution: Vertical acceleration- calculating time to reach maximum…
Question: Two bodies of different masses m1 and m2 are dropped from two different heights a and b.What is the ratio of time taken by the two bodies to drop through these distances. Solution: Ratio of time taken The two objects are striking the ground with velocities v1 and v2 respectively. $${v_1=\sqrt{2gh_1}}$$ $${v_2=\sqrt{2gh_2}}$$ Time taken…
Question What is the value of angle of projection for which the height of the projectile (H) and the range (R)of the projectile are the same? Solution: Height and range Maximum height of the projectile (H) Height of the projectile (H) $${H=\frac{u^2 \sin^2\theta}{2g}}$$ Range of the projectile $${R=\frac{u^2\sin 2 \theta}{g}}$$ $${H=R}$$ $${\frac{u^2\sin^2\theta}{2g}=\frac{u^2\sin 2\theta}{g}}$$ $${\frac{\sin^2\theta}{2}=2\sin\theta\cos\theta}$$ $${\frac{\sin\theta}{\cos\theta}=4}$$…
Question: A mass of 2 Kg lies on an inclined plane as shown below.Resolve its weight along and perpendicular to the plane. (take g=10 ms-2 ) Solution: Inclined plane shopify.pxf.io/1r4onx Resolving the weight into two components The component which is along the plane is $${mg\sin\theta}$$ $${20 \sin\ 30^\circ}$$ $${20 (\frac{1}{2})}$$ $${=10 \ N}$$ The component…