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natita [175]
3 years ago
11

20x3/5= A. 15 B. 14 C. 13 D. 12

Mathematics
1 answer:
MrRa [10]3 years ago
7 0
20 x 3/5

60/5 = 12

D. 12
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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
Match each three dimensional figure to its volume based on the given dimensions.
Gre4nikov [31]

please attach a diagram

6 0
3 years ago
(A) Write an expression for a number that is five <br> times greater than two
vovangra [49]
5x+2 because you have to multiply 5 by x and then add two
4 0
3 years ago
Isn’t it just 5? Why would it say check all that apply
LenKa [72]

Answer: 25^\frac{1}{2}

Step-by-step explanation:

25 = 5*5 or -5 * -5

yes, that is correct. However, you forgot another property of roots. Roots are simply exponential fractions.

\sqrt[n]{x^m}=x^\frac{m}{n}

Therefore, \sqrt{25} can also be rewritten as: 25^\frac{1}{2}. Notice that it cannot be -25 because that would be a negative square root which will give us an imaginary number.

4 0
3 years ago
Read 2 more answers
What is the solution please! i need this!!asap!!
Vlad1618 [11]
I believe the answer is no solutions
7 0
3 years ago
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