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Tju [1.3M]
3 years ago
13

The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation f

(x) = ax2 - bx, where a = 65 n/m2, b = 12 n/m, and the positive x direction is in the compression direction of the spring.
Physics
1 answer:
Hoochie [10]3 years ago
5 0
<span>Answer: F(x) = ax^2 - bx or F(x) = ax² - bx F(x) = 30x² - 6x â«F(x)dx = â«(30x² - 6x)dx as this is evaluated from zero to x W = 10xÂł - 3x² <===ANS W = 10(0.42Âł) - 3(0.42²) - [10(0Âł) - 3(0²)] W = 0.212 J <===ANS W = 10(0.72Âł) - 3(0.72²) - [10(0.42Âł) - 3(0.42²)] W = 1.966 J <===ANS</span>
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What is the final velocity of a car that is originally traveling 12 m/s and then undergoes an acceleration of 2.3m/s squared for
Katarina [22]

To solve this problem we use the general kinetic equations.

We need to know the time it takes for the car to reach 130 meters.

In this way we have to:

x(t) = x_0 + v_0t + 0.5at ^ 2

Where

x_0 = initial position

v_0 = initial velocity

a = acceleration

t = time

x(t) = position as a function of time

130 = 0 + 12(t) + 0.5(2.3)t ^ 2

1.15t ^ 2 + 12t - 130.

We use the quadratic formula to solve the equation.

t = \frac{-12 \± \sqrt {(12) ^ 2-4(1.15)(- 130)}}{2 (1.15)}

t = 6.63 s and t = -17.1 s

We take the positive solution. This means that the car takes 6.63 s to reach 130 meters.

Then we use the following equation to find the final velocity:

v_f = v_0 + at

Where:

v_f = final speed

v_f = 12 +2.23(6.63)

The final speed of the car is 27.25 m/s

3 0
3 years ago
A balloon of hydrogen is put into to pressure chamber. The initial pressure and volume of hydrogen is 1 atm and .5 cm3. The pres
Elis [28]

Answer:

0.25 cm³.

Explanation:

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P₁ V₁ = P₂V₂

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V₂ = 0.25 cm³.

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Atoms with the same number of protons but different numbers of neutrons are called isomers
Ludmilka [50]
False, atoms with the the same number of protons but a differing number of neutrons is called an isotope.

An isomer is a compound that has the same atomic makeup as another, but in a different arrangement.
8 0
3 years ago
Astronomers study radio waves to learn about
il63 [147K]

Answer:

Radio astronomy began in 1933 when an engineer named Karl Jansky accidentally discovered that radio waves come not just from inventions we create but also from natural stuff in space.

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4 years ago
How much is required to accelerate a 5kg mass at 20 m/s2
zhannawk [14.2K]

use F = ma

F : force m : mass a : acceleration

so

f = 5kg * 20 m/s2 = 100 N

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3 years ago
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