Momentum and CollisionHard
Question
A wooden cube first floats inside water when a 200 g mass is placed on it. When the mass is removed the cube is 2 cm above water level. The side of cube is : -
Options
A.5 cm
B.10 cm
C.15 cm
D.20 cm
Solution
Let mass of cube is m and side is a then
(m + 200)g = a3 ρwg ...... (i)
mg = a2(a - 2) ρwg ......(ii)
⇒ a2(a - 2) ρw + 200 = a3 ρw
⇒ a2 = 100 ⇒ a = 10 cm
(m + 200)g = a3 ρwg ...... (i)
mg = a2(a - 2) ρwg ......(ii)
⇒ a2(a - 2) ρw + 200 = a3 ρw
⇒ a2 = 100 ⇒ a = 10 cm
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
A wheel has angular acceleration of 3.0 rad/s. In a time of 2 s it has rotated through an angle (in radian)of...A wire of mass m and length is bent in the form of a circular ring, the moment of inertia of the ring about its axis is...The figure shows the position - time (x - t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of ...Figure shows a block of mass m projected with velocity v0 towards a wedge. Consider all the surfaces to be smooth. Block...The diagram (figure) shows a venturesome, through which water is flowing. The speed of water at X is 2 cm/s. The speed o...