Please help im down bad

Three very small spheres of mass 2.50 kg, 5.00 kg, and 8.00 kg are located on a straight line in space away from everything else

Aliun [14]

Answer:

The net gravitational force it exerts is $F_{net}=9.66*10^{-8}N$

Explanation:

Newton's Law of Gravitation can be written as

$F=\frac{Gm_{1}m_{2}}{r^{2} }$

where G is the Gravitational Constant, m1 and m2 are the masses of two objects, and r is the distance between them. In this case, the spheres are loacted in straight line, so instead of a vector r, we have a distance x in meters. The distances and masses are given in the problem, and the smaller sphere is between the other two spheres. This means the sphere 1 is in the middle, the sphere 2 is on the left of 1, and the sphere 3 is on the right of 1, so

$F_{21} =\frac{Gm_{1}m_{2}}{x_{21}^{2} }$ is the force that 2 feels because of 1, and

$F_{31} =\frac{Gm_{1}m_{3}}{x_{31}^{2} }$ is the force that 3 feels because of 1.

If we replace the data in those previous equations, we have that

$F_{21} =\frac{G(2.5)(5) }{(0.08)^{2} }=1.3*10^{-7}N$

$F_{31} =\frac{G(2.5)(8) }{(0.2)^{2} }=-3.34*10^{-8}N$

Finally, adding both results, the net force the sphere 1 exerts is

$F_{net}=9.66*10^{-8}N$

6 0

3 years ago

Nitrogen is used to protect steel from water because nitrogen has ________.

tiny-mole [99]

Answer:

Nitrogen is used to protect steel from water because nitrogen has low reactivity.

Explanation:

Nitrogen is very low reactive element because it forms a gas when triple bond between two Nitrogen atoms. Due to low reactivity of Nitrogen the water does not react with the nitrogen and steel as well. So, for protection of steel Nitrogen is used.

4 0

3 years ago

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 64 ft/sec, its height after t seconds

stepan [7]

Answer:

a) $s_{max} = 96\,ft$ , b) $v(4.449\,s) = -78.368\,\frac{ft}{s}$

Explanation:

a) The maximum height is obtained with the help of the First and Second Derivative Tests:

First Derivative

$v(t) = 64 - 32\cdot t$

$64 - 32\cdot t = 0$

$t = 2\,s$

Second Derivative

$a(t) = -32$ (absolute maximum)

The maximum height reached by the ball is:

$s (2\,s) = 32 + 64\cdot (2\,s) - 16\cdot (2\,s)^{2}$

$s_{max} = 96\,ft$

b) The time required by the ball to hit the ground is:

$32+64\cdot t - 16\cdot t^{2} = 0$

$-16\cdot (t^{2}-4\cdot t - 2) = 0$

$t^{2}-4\cdot t - 2 = 0$

$(t -4.449)\cdot (t+0.449)\approx 0$

Just one root offers a solution that is physically reasonable:

$t = 4.449\,s$

The velocity of the ball when it hits the ground is:

$v(4.449\,s) = 64 - 32\cdot (4.449\,s)$

$v(4.449\,s) = -78.368\,\frac{ft}{s}$

6 0

3 years ago

Read 2 more answers

What's a small fragments of matter (not asteroids) orbiting the sun?

Ymorist [56]

Answer:

Meteoroids

Explanation:

Meteoroids are small masses of rocks or metallic bodies that often found to orbit around the Sun. The size of a meteoroid is smaller in comparison to the asteroids. The elements that are found in the meteoroids are extraterrestrial nickel and iron. Meteoroids are often formed by the fragments from bodies present in universe such as Mars or Moon and thrown into space by an impact. After formation they often come in the range of attraction of Sun and start orbiting around it.

6 0

3 years ago

The relationship between the mass and volume of an object is its weight. TRUE or FALSE?

Arturiano [62]

The answer is false.

5 0

3 years ago

Read 2 more answers