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1 year ago

prove displacement of a body in nth second is given by the S=u+a/2(2n-1) where symbols have their usual meaning

1 answer:

7 0

The proof that the displacement of a body in nth second which is given by the S=u+a/2(2n-1) is explained below.

<h3>Calculations and Parameters</h3>

Given:

u= initial velocity
a= acceleration

Displacement during nth second= displacement in n seconds- displacement in (n-1) seconds

= [ $un + \frac{1}{2} gn^2] - [ u(n-1) + \frac{1}{2} g(n-1)^2]$

= (u * 1) + g(n *1) - $\frac{g}{2}$ (1 *1)

Hence, in (n-1) seconds, n has a unit of time and 1 has a unit of time (not a constant)

Therefore, u(m/s) is multiplied by 1 (unit of time)

g(m/s^2) is multiplied by ( n*1 ), having units of time, i.e s^2

g/2 is also multiplied by ( 1 * 1, also having units of time, i.e s^2

Therefore, the equation is dimensionally correct and we should note that 1 is not a constant in the equation as the time of 1 second in (n-1) second.

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A 6.5 l sample of nitrogen at 25◦c and 1.5 atm is allowed to expand to 13.0 l. the temperature remains constant. what is the fin

ollegr [7]

Since the temperature of the gas remains constant in the process, we can use Boyle's law, which states that for a gas transformation at constant temperature, the product between the gas pressure and its volume is constant:
$pV=k$
which can also be rewritten as
$p_1 V_1 = p_2 V_2$ (1)
where the labels 1 and 2 mark the initial and final conditions of the gas.

In our problem, $p_1 = 1.5 atm$ , $V_1 =6.5 L$ and $V_2 =13.0 L$ , so the final pressure of the gas can be found by re-arranging eq.(1):
$p_2 = p_1 \frac{V_1}{V_2}= (1.5 atm) \frac{6.5 L}{13.0 L}=0.75 atm$

Therefore the correct answer is
<span>1. 0.75 atm</span>

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3 years ago

Newtons first law stateS that object will move With a constant velocity if nothing acts on it. Does our every day experience con

bazaltina [42]

Answer:

Explanation:

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2 years ago

The force diagram shown here describes the forces that external objects (the surface andEarth) exert on a woman (in this scenari

sveticcg [70]

The three different motions are;

The upward motion of the woman is constant
The downward motion of the woman is also constant
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<h3>What is force diagram?</h3>

Force diagram is a pictorial or graphical illustration of different forces acting on object.

In this given question, there two forces acting on the woman as depicted in the force diagram.

The first force is surface force (Fs)
The second force is force of Earth (FE)

In the given force diagram, the woman is in equilibrium, this implies that the surface force and the Earth force are equal.

The three different types of motion of the woman that are consistent with the force diagram include the following;

The upward motion of the woman is constant
The downward motion of the woman is also constant
The horizontal motion of the woman is zero since there is no horizontal force on the woman.

Learn more about force diagram here: brainly.com/question/3624253

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1 year ago

Which of these is not a part of the<br> cardiovascular system?

lilavasa [31]

Answer:I don't see any

Explanation:

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3 years ago

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