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vivado [14]
3 years ago
7

The force on the last car of a train with a mass of 4.5 kg is 8.0 N. What is the train's acceleration in ms2?

Mathematics
2 answers:
vlabodo [156]3 years ago
6 0

Answer:

The acceleration of train is 1.78  meter second²

Step-by-step explanation:

Given as :

The mass of Train = 4.5 kg

The Force exerted on last car of train = 8 Newton

Let The acceleration of car = a  ms²

∵ Force applied on body is the product of mass and acceleration of body

So , Force = Mass × Acceleration

Or,  8 Newton = 4.5 kg × a

∴  a =  \frac{8}{4.5} = 1.78 ms²

Hence The acceleration of train is 1.78  meter second²  Answer

 

MaRussiya [10]3 years ago
4 0

Answer:

1.78

Step-by-step explanation:

f = ma \\ a =  \frac{f}{m}  \\ a =  \frac{8}{4.5}

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Solve.<br> −8.5d ≥ 20<br><br> d ≤ –170<br> d ≥ –170
saw5 [17]

Answer:

\rm =>D \leqslant 2.352941

Step-by-step explanation:

−8.5d ≥ 20

Divide both sides by -8.5:

=> \cfrac {- 8.5 \: d}{  - 8.5} \ \geqslant  \cfrac{20}{ - 8.5}

\rm=>d \leqslant 2.352941

This is the answer.

3 0
2 years ago
A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will
Mumz [18]

Answer:

The population will reach 20,400 after 6 years.

Step-by-step explanation:

Exponential function:

y(t)=y_0(1+r)^t

y(t)= Population after t years

y_0 = initial population

r= rate of grow

t= time.

A town has a population of 17,000 and grows at a rate 3% every year.

y(t)= 20,400, y_0 = 17,000, r=3%=0.03, t=?

20,400=17,000(1+0.03)^t

\Rightarrow \frac{20,400}{17,000}=(1.03)^t

\Rightarrow \frac{102}{85}=(1.03)^t

Taking ln function both sides

\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|

\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|

\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}

⇒ t = 6 year.

The population will reach 20,400 after 6 years.

6 0
4 years ago
the original price of a pair of sneakers is $89.00 the store advertizes a sale for 15% off what is the sale price for the sneake
4vir4ik [10]

Answer:

$75.65

Step-by-step explanation:

$89 x .15 = $13.35

$89 -  $13.35  = $75.65

3 0
3 years ago
Help would be appreciated.<br><br>Find the value of each variable​
monitta

Answer:

1.(267) A 90)

Step-by-step explanation:

234 5674

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2 years ago
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