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2 years ago

What happens to the gravitational force between two masses when the distance between the masses is doubled?

Physics

1 answer:

vovangra [49]2 years ago

6 0

Answer:

It decreases by a factor of 4

Explanation:

The gravitational force between two masses is given by

$F=\frac{Gm_1 m_2}{r^2}$

where

G is the gravitational constant

m1, m2 are the two masses

r is the separation between the two masses

In this problem, the distance between the masses is doubled, so

r' = 2r

Substituting into the equation, we see that the new force is

$F'=\frac{Gm_1 m_2}{(2r)^2}=\frac{1}{4}\frac{Gm_1m_2}{r^2})\frac{F}{4}$

So, the force decreases by a factor of 4.

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During constructive interference two waves travel through the same medium and the effects of the first wave are ___ the effects

Ymorist [56]

Answer:

During constructive interference occurs at any location along the medium where two inferring waves are in the same direction. In this case both waves have upward displacement. Consequently the medium has an upward displacement has that is greater than the displacement of inferring pulses.

7 0

3 years ago

A ball rolls off the top of the roof of a building that is 13 meters tall. Calculate the amount of time it takes for it to hit t

kramer

Answer:

The ball takes $t=1 \cdot 917sec$ to hit the ground.

Explanation:

• The second equation of motion represents the total distances travelled by an object in a time interval of $\Delta t$ with an initial speed of $u$ and acceleration $a$ .

• To find the time, ball takes to hit the ground, use the formula: $s = ut + \frac{1}{2}a{t^2}$

Where, $t$ is time, $u$ is initial velocity, $a$ is acceleration and $s$ is displacement.

• In this case, $a = g = 9 \cdot 8m/se{c^2}$ .

• Placing the value of the given initial velocity, $u=0cm/s$ and displacement, $s = 13m$ in the above formula.

$& \therefore s = ut + \frac{1}{2}g{t^2} \\& \Rightarrow 13 = 0 \cdot t + \frac{1}{2} \times 9 \cdot 8 \times {t^2} \\$

$& \Rightarrow 13 = 4 \cdot 9{t^2} \\& \Rightarrow {t^2} = \frac{{13}}{{4.9}} \\& \Rightarrow t = 1 \cdot 917sec \\\end{align}\]$

• Hence, ball takes $t=1 \cdot 917sec$ to hit the ground.

Learn more about second equation of motion here:

brainly.com/question/19030143

5 0

2 years ago

Determina el trabajo realizado al desplazar un bloque 3 m sobre una superficie horizontal, si se desprecia la fricción y la fuer

bija089 [108]

Answer: El trabajo realizado al desplazar el bloque es: 75 N.m

Datos:

Fuerza= F= 25 N

Distancia= d= 3 m

Explicación:

El trabajo es el producto de la fuerza ejercida sobre un cuerpo con el desplazamiento producido por la fuerza. Para que exista trabajo, la dirección de la fuerza debe ser igual a la dirección del desplazamiento.

Trabajo= Fuerza x Desplazamiento

Reemplazando los datos:

T= 25 N * 3 m

T= 75 N.m

5 0

2 years ago

Two students conduct a study to investigate the relationship between forearm length and height. Maria measures the subjects in c

inn [45]

Answer:

r = 0.86

Explanation:

Correlation coefficients are the strength of the relationship between two variables.

Correlations can indicate anywhere between

1 - for a strong positive relationship.

-1 - for a strong negative relationship.

0 - for no relationship at all.

Looking at sample correlation coefficient formula which says

$r_{xy}$ = $S_{xy}$ ÷ ( $S_{x}$ × $S_{y}$ )

where $S_{x}$ and $S_{y}$ are the sample deviations and $S_{xy}$ is the sample covariance, all of which will remain the same for Maria and John.

Hence, John's correlation will be approximately 0.86 since he would have approximately the same measurement as Maria's measurement when Maria's measurement is converted from centimeters to inches.

4 0

3 years ago

What would happen if there were no friction between the girl and the slope?

erica [24]

She'll most likely fall

7 0

2 years ago