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Karo-lina-s [1.5K]
3 years ago
13

Suppose you are given the following equation, where xf and xi represent positions at two instants of time, vxi is a velocity, ax

is an acceleration, t is an instant of time, and a, b, and c are integers. xf = xita + vxitb + ½axtc.
Required:
For what values of a, b, and c is this equation dimensionally correct?
Physics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

Explanation:

xf = xita + vxitb + ½axtc.

xf is displacement , dimensional formula L .

Xi initial displacement , dimensional formula L

t is time , dimensional formula T ,

vxi is velocity , dimensional formula LT⁻¹

ax is acceleration , dimensional formula = LT⁻²

xf = xi t a + vxi t b + ½ ax t c.

L = aLT + b LT⁻¹ T + c LT⁻² T

From the law of uniformity , dimensional formula of each term of RHS must be equal to term on LHS

aLT = L

a = T⁻¹

b LT⁻¹ T = L

b = 1 ( constant )

c LT⁻² T = L

c = T

so a = T⁻¹ , b = constant and c = T .

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Answer:

Independent variable: how far the soccer ball is kicked.

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Explanation:

The distance the ball is kicked is what the scientist can change. On the other hand, in this experiment, how well the person does on their test supposedly relies on how far the soccer ball is kicked.

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3 years ago
A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. If g-9.
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Answer:

0.31

Explanation:

horizontal force, F = 750 N

mass of crate, m = 250 kg

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The friction force becomes applied force = 750 N

According to the laws of friction,

Friction force = μ x Normal reaction of the surface

here, μ be the coefficient of friction

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μ = 0.31

Thus, the coefficient of static friction is 0.31.

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Which statement best describes the type of magnetism generated by attaching a wire to a battery and wrapping the wire around an
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Explain, step by step, how to calculate the amount of current (I) that will go through the resistor in this circuit
anygoal [31]

Answer:

0.03 A

Explanation:

From the question given above, the following data were obtained:

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From ohm's law, the voltage, current and resistor are related by the following formula:

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With the above formula, we can obtain the current in the circuit as follow:

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Current (I) =?

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12 = I × 470

Divide both side by 470

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