Answer:
Explanation:
a )
weight of car = 600 kg .
According to Archimedes principle , for free floatation ,
weight of car = weight of displaced water
600 x 9.8 = v x 10³ x 9.8 , v is volume of water displaced and 10³ kg/ m³ is density of water.
v = .6 m³
required fraction
= .6 / 2
= .3
b )
Let mass of water entering before the start of sinking of car .
mass of maximum displaced volume of water by car = 2 x 10³m³.
(600 + m ) x g = 2 x 10³ x g [ 10³ is density of water ]
600 + m = 2000
m = 1400 kg .
Answer:
Relation between initial speed of bullet and height h is given as

Explanation:
As we know that system of block and bullet swings up to height h after collision
So we have

so we have

so speed of the block + bullet just after the impact is given by above equation
Now we also know that there is no force on the system of bullet + block in the direction of motion
So we can use momentum conservation

now we have

Answer:
750 nm
Explanation:
= separation of the slits = 1.8 mm = 0.0018 m
λ = wavelength of monochromatic light
= screen distance = 4.8 m
= position of first bright fringe =
= order = 1
Position of first bright fringe is given as


λ = 7.5 x 10⁻⁷ m
λ = 750 nm
To solve this exercise it is necessary to take into account the concepts related to Tensile Strength and Shear Strenght.
In Materials Mechanics, generally the bodies under certain loads are subject to both Tensile and shear strenghts.
By definition we know that the tensile strength is defined as

Where,
Tensile strength
F = Tensile Force
A = Cross-sectional Area
In the other hand we have that the shear strength is defined as

where,
Shear strength
Shear Force
Parallel Area
PART A) Replacing with our values in the equation of tensile strenght, then

Resolving for F,

PART B) We need here to apply the shear strength equation, then



In such a way that the material is more resistant to tensile strength than shear force.
this is due to the existence of other forces called the strong nuclear forces that overcomes the repulsion forces between the protons and keeps the nucleons holding to each other also there is a type of energy that is called the nuclear binding energy and this energy also works on binding the components of the nucleus together