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Posted: January 28th, 2022
Find the dimensions of G. An astronomer proposes a model in which the lifetime, t, of a star is determined by a product of powers of its mass, m, its preliminary radius r0, G and a dimensionless fixed. ii) Use the technique of dimensions to seek out the ensuing formulation for t.
Find the dimensions of G. An astronomer proposes a model in which the lifetime, t, of a star is determined by a product of powers of its mass, m, its preliminary radius r0, G and a dimensionless fixed. ii) Use the technique of dimensions to seek out the ensuing formulation for t.
The magnitude of the drive of gravitational attraction, F, between two objects of mass m1 and m2 at a distance d aside is given by
the place G is the common fixed of gravitation.
i) Find the dimensions of G. An astronomer proposes a model in which the lifetime, t, of a star is determined by a product of powers of its mass, m, its preliminary radius r0, G and a dimensionless fixed. ii) Use the technique of dimensions to seek out the ensuing formulation for t. Statement exhibits that the bigger the preliminary radius the longer the lifetime of the star, however that the bigger the mass the shorter the lifetime of the star.
iii) Is the model per these observations?
iv) Present that the model will be expressed extra merely if the preliminary density, p0, of the star is used as one of the variables.
G’s dimensions must be decided. A model is proposed in which a star’s lifetime, t, is decided by the product of powers of its mass, m, its preliminary radius, r0, G, and a dimensionless fixed. ii) Find the ensuing formulation for t utilizing the technique of dimensions.
G’s dimensions must be decided. A model is proposed in which a star’s lifetime, t, is decided by the product of powers of its mass, m, its preliminary radius, r0, G, and a dimensionless fixed. ii) Find the ensuing formulation for t utilizing the technique of dimensions.
The magnitude of the gravitational attraction drive, F, between two plenty m1 and m2 separated by d is given by
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