a jetliner goes from rest to a takeoff speed of 162 mi/h in 39.5 s. what is the magnitude of its average acceleration?

A particle of mass 3m is located 1.00 m from a particle of mass m. (a) Where should you put a third mass M so that the net gravi

Airida [17]

Explanation:

It is given that net gravitational force on M is exactly equal to zero. Hence, distance to M from the bigger mass is 3m. Therefore, expression for net force will be as follows.

$F_{net} = F_{1} + F_{2} = 0$

So,

$\frac{-G(3m)(M)}{x^{2}} + \frac{G(m)(M)}{(1 - x)^{2}} = 0$

The first term is negative as the third mass is located between the other two masses. This means that 3 m will be pulling it leftwards (negative x direction) and m will be pulling it rightwards (positive x direction).

$\frac{G(m)(M)}{(1 - x)^{2}} = \frac{G(3m)(M)}{(x)^{2}}$

On dividing both sides of the equation by G.m.M, we get the following.

$\frac{1}{(1 - x)^{2}} = \frac{3}{x^{2}}$

$x^{2} = 3 - 6x + 3x^{2}$

0 = $3 - 6x + 2x^{2}$

Using the formula, $\frac{-b \pm \sqrt{(b)^{2} - 4ac}}{2a}$ the value of x comes out to be equal to +2.37 (not usabale) and -0.634 (usable).

Hence, we can conclude that the third mass will be located 0.634 meters away from the 3 m mass.

7 0

3 years ago

A car Excel accelerates from the rest to a velocity of 5 m in four seconds what is the average acceleration

MrRa [10]

Average acceleration: velocity/time

5/4= 1.25 m/s² Acceleration

Hope I helped :)

5 0

4 years ago

Which food chain shows the correct flow of energy is an ecosystem ?

Hitman42 [59]

The 4th one is correct
it starts from the sun then hay then rabbit then eagle

3 0

4 years ago

Read 2 more answers

Q15.17 Both wave intensity and gravitation obey inverse-square laws. Do they do so for the same reason?Discuss the reason for ea

s2008m [1.1K]

(a) Intensity obeys inverse square law from basis of light passing through a given surface.

(b) Gravitation obeys inverse square law from the basis of force between two masses.

(c) The maximum magnitude of the acceleration of the block is 126.75 m/s².

<h3>What is intensity?</h3>

Intensity is the ratio is ratio of power to area of a given surface.

I = P/A (W/m²)

where;

P is power
A is area

<h3>Universal gravitation law</h3>

$F = \frac{Gm_1m_2}{r^2}$

Intensity and gravitation do not obey inverse square law for same reason;

Intensity obeys inverse square law from basis of light passing through a given surface.
Gravitation obeys inverse square law from the basis of force between two masses.

<h3>Acceleration of the block</h3>

a = v²/A

a = (3.9²)/0.12

a = 126.75 m/s²

Learn more about acceleration here: brainly.com/question/605631

#SPJ1

7 0

2 years ago

How much work does it take to lift an object weighing 200N to a distance of 20 meters

Bogdan [553]

Answer:

4000 J

Explanation:

W = F = 2000N , s = 20 m

Workdone = F × s = 200 × 20 = 4000J

7 0

3 years ago

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