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xxTIMURxx [149]
3 years ago
11

5 10 — = — s 14 Help!

Mathematics
1 answer:
allsm [11]3 years ago
7 0
The answer to your question is 514
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A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
Rose has 5 times as many stickers as John. They have 300 stickers in all. How many more stickers does Rose have than John? Show
kirill115 [55]

5x+x=300

6x=300

x=50

5(50)=250 (Rose)

x=50(John)

Rose has 250 stickers and John has 50, therefore Rose has 200 more stickers than John.

6 0
3 years ago
Read 2 more answers
Find BC.<br> Round to the nearest tenth.<br> C<br> 12<br> A<br> 87°<br> 9<br> B
Dmitrij [34]

Answer:

C-10

A-90

B-10

Step-by-step explanation:

For rounding off to nearest tens, we compare the last digit.

5 0
1 year ago
Dora has 10 seashells and plans to add 2 shells every week. Jerri has 4 seashells and plans to add 5 shells every week. Which sy
Mariulka [41]

Answer:

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

y = 10 + 2x

y = 4 + 5x

Since, the girls have the same number of seashells

⇒10 + 2x = 4 + 5x

Subtract 4 from both sides we get;

6 + 2x = 5x

Subtract 2x from both sides we get;

6= 3x

Divide by 3 both sides we have;

x = 2 weeks.

Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.

3 0
3 years ago
it takes alice 4 5/6 hours to drive to her grandparents house for thanksgiving. On the way home, she ran into traffic it took he
horsena [70]

Answer:

1 3/24

Step-by-step explanation:

8 0
2 years ago
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