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3 years ago

The center of mass is

1 answer:

5 0

D is the best answer. In many physics problems we treat an extended object as if it were a point with the same mass located at the center of mass.

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How would the force of gravity between two objects change the distance between them were to double?

Debora [2.8K]

The answer is C I think

6 0

2 years ago

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The separation between two magnets is reduced by a factor of 5. How does the force between them change?

gtnhenbr [62]

Answer:Increase by a factor of 25

Explanation:

We know that magnetic force is proportional to $\frac{1}{r^2}$

where r is the distance between them

$F\propto B\propto \frac{1}{r^2}$

Thus $F\propto \frac{1}{r^2}$

Where $B$ =magnetic field

If distance is reduced by a factor of $5$ then force must increase by a factor of $25$ because

$r\rightarrow \frac{r}{5}$

so $F\propto \dfrac{1}{(\frac{r}{5})^2}$

$F\propto \frac{25}{r^2}$

7 0

2 years ago

Estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the U.S., per year. Suppose that t

vaieri [72.5K]

3 x 108 is roughly 300 people. Half of them have cars. Half of 300 = 150. 150 x 12000 = 1,800,000 miles driven. Each car gets 20mpg. Solve for the # of gallons consumed.

3 0

3 years ago

Read 2 more answers

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a s

baherus [9]

Given that,

Central maximum = 1 cm

Distance from the window shade to the wall =4 m

We know that,

The visible range of the sun light is 400 nm to 700 nm.

(a). We need to calculate the average wavelength

Using formula of average wavelength

$\lambda_{avg}=\dfrac{\lambda_{1}+\lambda_{2}}{2}$

Put the value into the formula

$\lambda_{avg}=\dfrac{400+700}{2}$

$\lambda_{avg}=550\ nm$

(b). We need to calculate the diameter of the pinhole

Using formula for diameter

$w=\dfrac{2.44\lambda L}{D}$

$D=\dfrac{2.44\lambda L}{w}$

Put the value into the formula

$D=\dfrac{2.44\times550\times10^{-9}\times4}{1\times10^{-2}}$

$D=0.537\ mm$

Hence, (a). The average wavelength 550 nm.

(b). The diameter of the pinhole is 0.537 mm.

7 0

3 years ago

An airplane is flying 340 km/hr at 12o east of north. the wind is blowing 40 km/hr at 34o south of east. what is the plane's act

jok3333 [9.3K]

Define an x-y coordinate system such that
The positive x-axis = the eastern direction, with unit vector $\hat{i}$ .
The positive y-axis = the northern direction, with unit vector $\hat{j}$ .

The airplane flies at 340 km/h at 12° east of north. Its velocity vector is
$\vec{v}_{1} = 340(sin(15^{o})\hat{i} + cos(15^{o})\hat{j} ) = 88\hat{i} + 328.4\hat{j}$

The wind blows at 40 km/h in the direction 34° south of east. Its velocity vector is
$\vec{v}_{2} =40(cos(34^{o})\hat{i} - sin(24^{o})]\hat{j}) = 33.1615\hat{i} -22.3677\hat{j})$

The plane's actual velocity is the vector sum of the two velocities. It is
$\vec{v}=\vec{v}_{1}+\vec{v}_{2} = 121.1615\hat{i}+306.0473\hat{j}$

The magnitude of the actual velocity is
v = √(121.1615² + 306.0473²) = 329.158 km/h

The angle that the velocity makes north of east is
tan⁻¹ (306.04733/121.1615) = 21.6°

Answer:
The actual velocity is 329.2 km/h at 21.6° north of east.

5 0

2 years ago