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Marat540 [252]
2 years ago
9

Two blocks are initially at rest with a compressed spring between them. When the spring is released, the 2m block moves to the l

eft and the m block moves to the right. This represents an inelastic collision in a closed system.
A diagram of two square masses sitting on a flat horizontal surface connected by a spring. The mass on the left is labeled 2 m and the mass on the right is labeled m.
What best describes the blocks after the spring is released?

The total energy is zero.
The total momentum is zero.
The momentum of the m block is zero.
The momentum of the 2m block is zero.
Mathematics
1 answer:
choli [55]2 years ago
7 0

The statement that best describes the blocks after the spring is released is the total momentum is zero.

<h3 /><h3>Law of conservation of momentum</h3>

From the law of conservation of momentum, the initial momentum of the system, M equals the final momentum of the system M'

M = M'

<h3>Momentum of blocks</h3>

Now, since both blocks are initially at rest, the initial momentum M = 0.

Since the initial momentum equals the final momentum after the blocks are released,

M = M' = 0

So, the total momentum after the blocks are released is zero.

So, the statement that best describes the blocks after the spring is released is the total momentum is zero.

Learn more about total momentum here:

brainly.com/question/25121535

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Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
Find (2.2 x 107)(5 x 108) (2.5 x 103)(8.8 x 105) expressed in scientific notation.
jarptica [38.1K]

Answer:

Scientific notation of the multiplication is 2.42\times 10^{25}

Step-by-step explanation:

(2.2\times 10^{7})(5\times 10^{8})(2.5\times 10^{3})(8.8\times 10^{5} )

= (2.2\times 5\times 2.5\times 8.8)10^{(7+8+3+5)}

[Since 10^{a}\times 10^{b}=10^{(a+b)}]

= 242\times 10^{23}

= 2.42\times 10^{25}

Therefore, the scientific notation of the multiplication is 2.42\times 10^{25}

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3 years ago
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On a piece of paper, graph y = (x – 2)(x + 3). Then determine which answer choice matches the graph you drew.
oksian1 [2.3K]

Answer:

do it got a picture

Step-by-step explanation:

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3 years ago
Can someone help me with this Geometry Homework? Thanks
Alex17521 [72]

That is C. my fellow brainy hope you get an A+

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3 years ago
OBSERVATION A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to
vekshin1

Answer:

The tower is 102.26 feet tall.

Step-by-step explanation:

We have drawn the triangle for your reference.

According to the figure point 'A' is the persons eye.

Point 'B' is the bottom of the cliff.

Point 'C' is the top of the cliff.

And Point 'D' is the top of the tower.

Given,

A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff.

So from diagram we can say that;

Length of AB = 100 ft

The angle of elevation to the top of the cliff is 30°.

So from diagram we can say that;

∠CAB = 30°

the angle of elevation to the top of the tower is 58°.

So from diagram we can say that;

∠DAB = 58°

We have to find the height of the tower i.e. CD.

Solution,

In ΔCAB,

∠CAB = 30°

AB = 100 ft

Now according to trigonometric  ratios;

tan\theta=\frac{opposite\ side}{adjacent\ side}

Substituting the values we get;

tan\ 30\° = \frac{BC}{100}

Now

tan\ 30\° = \frac{1}{\sqrt{3}}

So

\frac{1}{\sqrt{3}} = \frac{BC}{100}\\\\BC =\frac{100}{\sqrt{3}} = 57.74 \ ft

In ΔDAB,

∠DAB = 58°

AB = 100 ft

Now according to trigonometric  ratios;

tan\theta=\frac{opposite\ side}{adjacent\ side}

Substituting the values we get;

tan\ 58\° = \frac{BD}{100}

Now

tan\ 58\° = 1.60

So

1.60 = \frac{BD}{100}\\\\BD =100\times 1.6 = 160 \ ft

Now BD = BC + CD

CD = BD - BC = 160 - 57.74 = 102.26 ft

Hence The tower is 102.26 feet tall.

6 0
4 years ago
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