A bullet of mass 10 g moving horizontally with a velocity of 400 ms–1 strikes of wooden block of mass 2 kg which is suspended by a light inextensible string of length 5 m. As a result the centre of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be
During the collision, apply moementum conservation (0.01)(400) + 0 = (2)V + (0.01)V'
where V = √2gh
V = √2 ×10× 0.1
V = √2 solving
V' = 120 m/sec. Ans.
A rigid ball of mass m strikes a rigid wall at 60º and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall in the ball will be
In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xp(t) = at + bt2 and xQ (t) = ft – t2 . At what time do the cars have the same velocity
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has dimension of length?
What is the output Y in the following circuit, when all the three inputs A, B, C are first 0 and then 1 ?