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Allushta [10]
3 years ago
5

Determine the gravitational force of attraction between two 3.5 kg bowling balls whose

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

F_G=2.04\ .\ 10^{-10}\ Nw

Option J

Step-by-step explanation:

Newton's Universal Law Of Gravitation

Newton discovered that all objects attract each other with a force of gravitational attraction which is proportional to their masses and inversely proportional to the square of the distance between them.

\displaystyle F_G=G\frac{m_1m_2}{d^2}\ ,\ G=6.673\ .\ 10^{-11} N m^2/kg^2

Where m_1, m_2 are the masses in kg and d is the distance between them in meters.

In the problem, we have

m_1=m_2=3.5\ kg

d=2\ meters

\displaystyle F_G=6.673\ .\ 10^{-11} N m^2/kg^2\frac{(3.5kg)(3.5kg)}{(2m)^2}

\boxed{F_G=2.04\ .\ 10^{-10}\ Nw}

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Riders travel at a average speed of 61 feet per second for 3118 feet. A maximum of 187 per second. What is this as an expression
Flura [38]

187 ft/s. I think that this might be an equation, but if it is not, I'm sorry.

6 0
3 years ago
Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation
pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m  -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

<u>Equating (1) ans(2)</u>

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m=\frac{30}{6}

<u>=>m=5</u>

It will take 5 months for Jason to weigh the same as Gerardo

5 0
2 years ago
ANSWER THIS FAST<br> BRANLIEST IS ON THE LINE in
seraphim [82]

Answer:

Option A.) is correct  \triangle XYZ \sim \triangle WVZ  by AA similarity. There are two angles that are congruent given by \angle ZXY = \angle ZWV \hspace{0.2cm}  and\hspace{0.2cm}   \angle ZYX = \angle ZVW.

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

Step-by-step explanation:

From the given figure we can say that

i) Option A.) is correct  \triangle XYZ \sim \triangle WVZ  by AA similarity. There are two angles that are congruent given by \angle ZXY = \angle ZWV \hspace{0.2cm}  and\hspace{0.2cm}   \angle ZYX = \angle ZVW.

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

4 0
3 years ago
the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help
yarga [219]

Answer:

The function rule is

f:  x\to \:  {x}^{2}  - 1

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

f(0) =  {0}^{2}  - 1 =  - 1

f(1) =  {1}^{2}  - 1 = 0

f(2) =  {2}^{2}  - 1 = 3

f(3) =  {3}^{2}  - 1 = 8

f(4) =  {4}^{2}  - 1 = 15

When we generalize this pattern, we obtain:

f(x) =  {x}^{2}  - 1

This is the function equation.

The function rule is

f:  x\to \:  {x}^{2}  - 1

8 0
3 years ago
Stephanie has 6 classes a day at school. Each class is 52 minutes long. She goes to school 5 days a week. How many minutes does
Yakvenalex [24]

Answer:

1560 minutes

Step-by-step explanation:

52minutes x 6 = 312minutes

312minutes x 5 = 1560 minutes

so that means, she spends 1560 minutes in class

5 0
3 years ago
Read 2 more answers
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