Distance is constant and time increseas <br><br>Will Speed increase or decrease?<br><br>

Ten identical steel wires have equal lengths L and equal "spring constants" k. The wires are connected end to end so that the re

lapo4ka [179]

Answer:

$K_{system} = \frac{k}{10}$

Explanation:

When the springs are connected end to end, it means they are connected in series. When the springs are connected in series, the stress applied to the system gets applied to each of the springs without any change in magnitude while the strain of the system is the sum total of strains of each spring. The spring constant of the resultant system is given as,

$\frac{1}{K_{system}} = (\frac{1}{K_{1}})+(\frac{1}{K_{2}})+(\frac{1}{K_{3}})+ (\frac{1}{K_{4}})+.....+(\frac{1}{K_{n}})$

Here, n = 10

Spring constant of each spring = k

Thus,

$\frac{1}{K_{system}} = (\frac{1}{K_{1}})+(\frac{1}{K_{2}})+(\frac{1}{K_{3}})+ (\frac{1}{K_{4}})+.....+(\frac{1}{K_{10}})$

$\frac{1}{K_{system}} = (\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})+(\frac{1}{k})$

$\frac{1}{K_{system}} = \frac{10}{k}$

$K_{system} = \frac{k}{10}$

7 0

3 years ago

Read 2 more answers

Help meeeee pleeseee

geniusboy [140]

Answer:

I think the answer is option D ...

bt I m not sure..

8 0

3 years ago

An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km from the center of asteroid

mariarad [96]

Answer:

0.05806

Explanation:

$m_x$ = Mass of asteroid x

$m_y$ = Mass of asteroid y

$r_x$ = Distance from asteroid x = 140 km

$r_y$ = Distance from asteroid y = 581 km

m = Mass of asteroid

Force of gravity between asteroid x and the astronaut

$F_1=\frac{Gm_xm}{r_x^2}\\\Rightarrow F_1=\frac{Gm_xm}{140^2}$

Force of gravity between asteroid x and the astronaut

$F_2=\frac{Gm_ym}{r_y^2}\\\Rightarrow F_2=\frac{Gm_ym}{581^2}$

Here these two forces are equal as they are in equilibrium

$\frac{Gm_xm}{140^2}=\frac{Gm_ym}{581^2}\\\Rightarrow \frac{m_x}{140^2}=\frac{m_y}{581^2}\\\Rightarrow \frac{m_x}{m_y}=\frac{140^2}{581^2}\\\Rightarrow \frac{m_x}{m_y}=0.05806$

The ratio of the masses of the asteroid is 0.05806

4 0

3 years ago

Given that the efficiency of heating your room is roughly 35%, what mass of natural gas is actually necessary to heat your room

Mrac [35]

Answer:

Mass of natural gas needed to heat the room is 350,000BTUs

Explanation:

The heating efficiency of a furnace is never 100% because not all energy is released and not all heat is available to heat the place. A lesser efficiency requires more consumption of fuel. Heating values are used for heating fuels in order to calculate the mass of fuel needed.

The heating value of natural gas is 1,000,000BTUs

Therefore the formular for calculating mass of natural gas needed= Heating value of natural gas×efficiency.

Mass=1,000,000×0.35

Mass=350,000BTUs

3 0

3 years ago

A volume V= 2.48 L of an ideal nitrogen gas (N2) are at temperature T= 0.964°C and pressure p = 1.49 atm.

Orlov [11]

Complete question:

A volume V= 2.48 L of an ideal nitrogen gas (N2) are at temperature T= 0.964°C and pressure p = 1.49 atm. Find the number of moles of the gas.

Answer:

The number of mole of the gas is 0.164 mol.

Explanation:

Given;

volume of the ideal gas, V = 2.48 L

temperature of the gas, T = 0.964 °C = 273K + 0.964 = 273.964 K

pressure of the gas, P = 1.49 atm

The number of moles of the gas is calculated by using ideal gas equation;

PV = nRT

where;

n is the number of moles of the gas

R is ideal gas constant = 0.082057 L.atm/mol.K

$n = \frac{PV}{RT} \\\\n = \frac{1.49 \ atm \ \times \ 2.48 \ L}{0.082057 \ L.atm/mol.K \ \ \times \ 273.964 \ K} \\\\n = 0.164 \ mol$

Therefore, the number of mole of the gas is 0.164 mol.

6 0

3 years ago

Distance is constant and time increseas Will Speed increase or decrease?​

Distance is constant and time increseas Will Speed increase or decrease?