Answer:
Explanation:
Given
Mass of ice
mass of water
Initial Temperature of water
Let T be the Final Temperature of mixture
Latent heat of Fusion
heat required to melt ice completely is
Heat released by water is taken by ice thus
If a ball is given a push so that it has an initial velocity of 5 m/s down a certain inclined plane, then the distance it has ro
1 answer:
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Answer:
The dimension is L
Explanation:
Dimension analysis is a method of representing quantities majorly with respect to some fundamental quantities of mass (M), length (L), time (T).
A sphere has a definite volume which relates to its radius by:
V =
In this equation is a dimensionless quantity, and the unit of v is
.
But, metre is a measure of length, thus it has a dimension of L.
So that,
≅
Then,
=
Find the cube root of both sides to have,
r = L
Therefore, the dimension of the radius of a sphere is L.
This question involves the concepts of the law of conservation of momentum and velocity.
The velocity of the eight ball is "5.7 m/s".
According to the law of conservation of momentum:
where,
m₁ = mass of number three ball = 5 g
m₂ = mass of the eight ball = 6 g
u₁ = velocity of the number three ball = 3 m/s
u₂ = velocity of the eight ball = - 1 m/s (negative sign due to opposite direction)
v₁ = final velocity of the three number ball = - 5 m/s
v₂ = final velocity of the eight ball = ?
Therefore,
(5 g)(3 m/s) + (6 g)(- 1 m/s) = (5 g)(- 5 m/s) + (6 g)(v₂)
<u>v₂ = 5.7 m/s</u>
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Learn more about the law of conservation of momentum here: