A man can throw a stone to the maximum height of \(h\). What will be the greatest distance upto which he can throw the same stone?
Ans: \(50m\).
A projectile is fired with kinetic energy \(2kJ\). If, the range is maximum what is the kinetic energy of the projectile at highest point?
Ans: \(\left(K.E\right)_{H}= 1000J\).
A particle is projected at an angle \(\theta\) from the horizontal with Kinetic Energy \(K\). What will be the kinetic energy of the particle at the highest point?
Ans: \((K.E)_{H}=(K.E)_{i} Cos^{2}\theta\).
How many times a person can jump on the moon compared to the, on the surface of the earth?
Ans: \(6\times h_{earth}\).
A stone is thrown horizontally with a speed \(\sqrt{2gh}\) from the top of a wall of height \(h\). It, strikes the ground through the foot of wall at a distance \(x\) from the wall. What is the value of \(x\)?
Ans: \(R=2\times h\).
A ball of mass \(m\) is thrown vertically up. Another ball of mass \(2m\) is thrown at an angle \(\theta\) with the vertical. Both of them remains in air for the same period of time. What is the ration of heights attained by two balls?
Ans:\(\frac{H_{1}}{H_{2}}=1\),
Two balls are thrown with the same initial velocity at angles \(\alpha\) and \(\left(90^{0}-\alpha\right)\) with the horizontal. What will be the ratio of, (i) Maximum heights attained by the balls? (ii) Horizontal Ranges attained by the balls?
Ans:(i) \(\frac{H_{1}}{H_{2}}=tan^{2}\alpha\).
What are the two angles of projection of a projectile projected with velocity of \(30ms^{-1}\). So, that the horizontal range is \(45m\)? Take: \(g=10ms^{-2}\).
Ans: \(60^{o} and 30^{o}\).
Two stones are projected with same speed but making different angles of projection with the horizontal. There ranges are equal. If, the angle of projection of one is \(\left(\frac{\pi}{3}\right)\) and maximum height is \(h_{1}\) then maximum height of the other will be what?
Ans: \(h_{2}=\frac{1}{3}\times h_{1}\).
At a height \(0.4m\) from the ground, the velocity of the projectile in the vector form is, \(\vec{v}=\left(6\hat{i}+2\hat{j}\right)\)\(ms^{-1}\). Then, what is the angle of projection of the projectile? Take: \(g=10ms^{-2}\).
