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2 years ago

What is it's momentum?

Mathematics

2 answers:

saveliy_v [14]2 years ago

7 0

Step-by-step explanation:

The variables are p= unknown, m= 30000 kg and the velocity = 25 m/s.

We can use equation,

$p = mv$

Where m is the mass, and v is the velocity and p is the momentum.

We plug in the known.

$p = (30000)(25)$

$p = 750000$

Remeber the units so we get

p=750000 kg m/s or 7.5 E5 kg m/s

Aliun [14]2 years ago

5 0

$\huge \boxed{ \sf Solution}$

Mass of the truck (m) = 30000 Kg
Velocity (v) = 25 m/s
Let the momentum be p.
We know, momentum = mass × velocity
Therefore, the momentum of the truck (p)
= mv
= (30000 × 25) Kg m/s
= 750000 Kg m/s

Answers:

Variable : m, v, p

Equation : p = mv

Answer: The momentum of the truck is 750000 Kg m/s.

Hope you could understand.

If you have any query, feel free to ask.

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3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[

Ivenika [448]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

$1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}$

Solve point 1 that is $\sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\$ :

when,

$k= 1 \to s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\$

$= \frac{1}{2} - \frac{1}{3}\\\\$

$k= 2 \to s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\$

$= \frac{1}{3} - \frac{1}{4}\\\\$

$k= 3 \to s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\$

$= \frac{1}{4} - \frac{1}{5}\\\\$

$k= n^ \to s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\$

Calculate the sum $(S=s_1+s_2+s_3+......+s_n)$

$S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\$

$=\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\$

When $s_n \ \ dt_{n \to 0}$

$=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\$

$\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}$

In point 2: $\sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}$

when,

$k= 1 \to s_1 = \frac{1}{(1+6)(1+7)}\\\\$

$= \frac{1}{7 \times 8}\\\\= \frac{1}{56}$

$k= 2 \to s_1 = \frac{1}{(2+6)(2+7)}\\\\$

$= \frac{1}{8 \times 9}\\\\= \frac{1}{72}$

$k= 3 \to s_1 = \frac{1}{(3+6)(3+7)}\\\\$

$= \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\$

$k= n^ \to s_n = \frac{1}{(n+6)(n+7)}\\\\$

calculate the sum: $S= s_1+s_2+s_3+s_n\\$

$S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\$

when $s_n \ \ dt_{n \to 0}$

$S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066$

$\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}$

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3 years ago

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myrzilka [38]

Answer:

A) Miguel: d=25t+10

gabby: d=30t

B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles

Step-by-step explanation:

Lets start of with the equation:

There is 2 possible equations we can use for this:

A) Miguel: d=25t+10 gabby: d=30t OR

D) Miguel: d=10t+25 gabby: d= 30t

The resonable response for this would be A because Miguel starts off with 10 miles so you would add 10 to your equation so response D is incorrect because you are not multiplying 10t, but rather 25t.

Now let's do the actual answer

There is 2 possible answer for this:

B) gabby will catch up with Miguel in 2 hours at a distance of 60 miles
C) gabby will catch up with Miguel in 1.25 at a distance of 37.5 miles

The response that would make the most sense would be B. Let me explain

We are going to be using response C for now. You would have to multiply Miguel: 25(1.25) + 10

31.25 + 10

=41.25

Gabby: 30(1.25)

= 37.50

Miguel is still ahead of Gabby so Answer C is incorrect

We are going to be using response B now. You would have to multiply

Miguel: 25(2) + 10

50 + 10

=60

Gabby: 30(2)

=60

Now they are both the same mile so this would mean Answer B is correct

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3 years ago

13,500 deposit earning 3.3% compound monthly after 1 year

kvv77 [185]

Answer:

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Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

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A = 13500 [1.00275 ] ^ 12

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A = $13,952.30

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4 years ago