Home
Class 12
PHYSICS
A raft of wood (density=600kg//m^(3)) of...

A raft of wood (density`=600kg//m^(3))` of mass `120 kg` floats in water. How much weight can be put on the raft to make it just sink?

A

120 kg

B

200 kg

C

40 kg

D

80 kg

Text Solution

Verified by Experts

The correct Answer is:
D
Volume of raft, V `=("mass")/("density") " or " V = 120/600 =1/5 m^3`
When the raft is totally immersed in water, It displaces `1/5m^3` of water.
So, the upthrust `= 1/(5)xx1000xxgN`
If x kg is the extra weight put on the raft to fully immerse it in water, then
`(x+ 120) g=1/5 xx1000xxg " or " x + 120 = 200 `
`:. x = 80` kg
Promotional Banner

Similar Questions

Explore conceptually related problems

A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg//m )

A block of wood of density 500 kg//m^(3) has mass m kg in air. A lead block which has apparent weight of 28 kg in water is attached to the block of wood, and both of them are submerged in water. If their combined apparent weight in water is 20 kg , find the value of m . Take density of water =1000kg//m^(3)

A raft of mass M=600 kg floats in calm water with 7 cm submerged. When a man stands on the raft, 8.4 cm are submerged, the man's mass is

What is the minimum volume of a block of wood(density =850kg//m^(3)) if it is to hold a 50 kg woman entirely above the water when she stands on it?

A wood block (mass 3.67 kg, density 600 kg/m) is fitted with lead (density 1.14 xx 10^(4) kg//m^(3) ) so that it floats in water with 0.700 of its volume submerged. Find the lead mass if the lead is fitted to the block's (a) top and (b) bottom

If a cylindrical wooden piece of density 750 kg m^(-3) is floating in water, what fraction of the length of the cylinder of inside the water ?

A glass beaker of mass 400 kg floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm^3 What is the density of the meterial of the beaker ?