Question

In: Physics

Which of these statements is true? The value of g is exactly constant at any given...

Which of these statements is true? The value of g is exactly constant at any given distance from Earth's center. The value of g is 1. The value of g changes a great deal from place to place at a given elevation on Earth's surface. The value of g is exactly constant all over Earth's surface. Even at a given distance from Earth's surface, the value of g can vary slightly.

Expert Solution

Solution:

Let us go to the basics first.

We know that:

Following equation governs the variation of acceleration due to gravity, g with height, h:

g'/g = (1 – 2h/R)........Eqn.1 [where R = radius of earth]

So as altitude h increases, the value of acceleration due to gravity falls.

Following equation governs the variation of acceleration due to gravity, g with depth, h:

g'/g = (1 – h/R).......Eqn.2

So as depth h increases, the value of acceleration due to gravity falls.

Now coming to the question:

Which of these statements is true?

The value of g is exactly constant at any given distance from Earth's center. [FALSE]. Reason: g varies distance to distance from Earth's center as suggested by Eqn.1 above.

The value of g is 1. [FALSE]. Reason: Standard value of g is 9.8 m/s² on Earth's surface.

The value of g changes a great deal from place to place at a given elevation on Earth's surface. [FALSE]. Reason: At a given elevation, g is constant as suggested by above two equations.

The value of g is exactly constant all over Earth's surface. [TRUE]. Reason: At the Earth's surface, h = 0, so g = constant = 9.8 m/s²

Even at a given distance from Earth's surface, the value of g can vary slightly. [FALSE]. Reason: At a given distance from Earth's surface, value of g is constant and changes are negligible in its value.

Thanks!!!

genius_generous answered 2 years ago

Which if, any, of these statements are true?

Which if, any, of these statements are true? (More than one may be true.) Assume the batteries are ideal. Check all that apply. A battery supplies the energy to a circuit. A battery is a source of potential difference; the potential difference between the terminals of the battery is always the same. A battery is a source of current; the current leaving the battery is always the same.

1. Which of the following statements, if any, is or are true? I. As...

1. Which of the following statements, if any, is or are true? I. As a general rule, income generated by property is not taxable to the person who owns the property if the income is paid to directly to another person who, prior to such payment, performed services with respect to the property. II. As a general rule, compensation with respect to the performance of services is taxable to the person who performed the services unless the compensation...

Which of the following statements are true and which are false. In general, at a given...

Which of the following statements are true and which are false. In general, at a given temperature, the reaction quotient (Q) is a constant. 1 mol of H2O(g) and 1 mol of CO(g) are placed in a vessel and 1 mol of H2(g) and 1 mol of CO2(g) are placed in another of equal volume. At equilibrium, at 350°C, the amounts of H2O(g) in the two vessels are equivalent. Amounts of all reactants and products corresponding to an exact equilibrium...

Which (if any) of the following statements about the frequency of a particle is true? a)...

Which (if any) of the following statements about the frequency of a particle is true? a) Heavy, fast moving particles have lower frequencies than those of lighter, faster-moving objects. b) Only very light particles can have higher frequencies. c) Doubling the mass of an object and halving its speed result in no change in its frequency. Please explain why a each statements is true or false.

Which of the following statements is NOT true about constant-growth stocks? Cash dividend remains constant over...

Which of the following statements is NOT true about constant-growth stocks? Cash dividend remains constant over time Mature companies with a history of stable growth show this pattern Dividends grow at a constant rate from one period to the next forever Far distant-dividends have a very small present value and add little to the stock’s price

Which of the following is true? a. Everything else remaining constant, the present value of a...

Which of the following is true? a. Everything else remaining constant, the present value of a future lump sum payment will increase if the time period declines. b. Everything else equal, you will accrue more interest if you choose to invest using simple interest versus compound interest. c. Everything else held constant, if the number of payments related to an annuity due increase, so will the present value of the annuity. d. All else equal, the future value of an...

Exactly one of the following statements is true. Which one? Select one: a. Every convergent sequence...

Exactly one of the following statements is true. Which one? Select one: a. Every convergent sequence is monotonic. b. Every Cauchy sequence is monotonic. c. Every Cauchy sequence is bounded. d. None of the other statements is true. e. Every monotonic sequence converges

Which of the following statements about the lipoproteins given in the introduction are true?

Which of the following statements about the lipoproteins given in the introduction are true?Check all that apply.A. Lipoproteins are complexes of lipids and proteins.B. Lipoproteins can be distinguished by their densities and composition.C. Lipoprotein densities increase in the following order: chylomicrons, VLDLs, LDLs, HDLs, IDLs.D. Chylomicrons are the only lipoproteins that exclusively carry dietary lipids.E. HDL has a high lipid-to-protein ratio. HDL is termed "bad" cholesterol because it can deposit excess cholesterol in the arteries.F. Lipoprotein densities vary because lipoproteins...

Which of the following statements are true? For any false statements, explain. 1. Nitric acid reacts...

Which of the following statements are true? For any false statements, explain. 1. Nitric acid reacts with magnesium metal and copper metal. 2. Sulfuric acid and nitric acid react with cupric oxide. 3. Heating cupric hydroxide produces copper metal. 4. Copper metal reacts with magnesium ion. Mg 2+. 5. Cupric ion is blue and magnesium ion is white in aqueous solution. 6. Sulfuric acid reacts with magnesium metal and copper metal. I got 1. False 2. False 3. True 4....

which of the following statements about pain is true a) Pain tolerance is relatively constant over...

which of the following statements about pain is true a) Pain tolerance is relatively constant over time and between individuals b) Specific charecteristics of pain are identified in the frontal lobe of the brain. c) the brain is more aware of pai impulse when the retucular activating ststem is depressed. d) The hypothalamus connects sympathetic nervous ststem as part of the pain response.