Physics, 28.06.2019 13:20 kimmy6973

Ascale used to weigh fish consists of a spring hung from a support. the spring's equilibrium length is 10.0 cm. when a 4.0 kg fish is suspended from the end of the spring, it stretches to a length of 13.4 cm. (part a) what is the spring constant k for this spring? express your answer with the appropriate units. (part b) if an 8.0 kg fish is suspended from the spring, what will be the length of the spring? express your answer with the appropriate units.

Answers: 3

Show answers

Answers

Answer from: corban13

The spring constant of the spring is 1,152.94 N/m.

The new length of the spring when 8kg fish is suspended on it is 16.8 cm.

The given parameters;

length of the spring, L₁ = 10.0 cmmass of the fish, m = 4 kgfinal length of the spring, L₂ = 13.4 cm

The extension of the spring is calculated as follows;

x = L₂ - L₁

x = 13.4 cm - 10.0 cm

x = 3.4 cm

The spring constant of the spring is calculated as follows;

F = kx

mg = kx

$k = \frac{mg}{x} \\\\k = \frac{4 \times 9.8}{0.034} \\\\k = 1,152.94 \ N/m$

The new extension of the spring when 8 kg fish is suspended on it;

$x = \frac{mg}{k} \\\\x = \frac{8 \times 9.8}{1152.94} \\\\ x= 0.068 \ m\\\\x = 6.8 \ cm$

The new length of the spring = 6.8 cm + 10 cm = 16.8 cm

Learn more here:link

Answer from: gwendallinesikes

A) 1153 N/m

We can find the spring constant by using Hooke's law:

F=kx

where

F is the force applied to the spring

k is the spring constant

x is the displacement of the spring

In this problem, a fish of mass m = 4.0 kg is hanging on the spring, so the force applied is the weight of the fish:

F=mg=(4.0 kg)(9.8 m/s^2)=39.2 N

and the displacement of the spring is:

x = 13.4 cm - 10.0 cm = 3.4 cm = 0.034 m

so, the spring constant is

$k=\frac{F}{x}=\frac{39.2 N}{0.034 m}=1153 N/m$

B) 16.8 cm

In this case, a fish of mass

m = 8.0 kg

is hanging on the spring. Therefore, the force applied to the spring is

F=mg=(8.0 kg)(9.8 m/s^2)=78.4 N

So we can find the displacement of the spring:

$x=\frac{F}{k}=\frac{78.4 N}{1153 N/m}=0.068 m = 6.8 cm$

And since the equilibrium length of the spring is

x_0 = 10.0 cm

the new length of the spring will be

x' = 10.0 cm + 6.8 cm = 16.8 cm

Answer from: Quest

wavelength variability is the right one

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Another question on Physics

Physics, 21.06.2019 15:30

Which type of electromagnetic waves are dangerous enough to be used to kill cancerous cells? (a)gamma rays (b)visible light (c)infrared light (d)microwaves

Answers: 1

Answer

Physics, 22.06.2019 13:30

Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. to get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00ºc. note that this calculation is only approximate because ocean warming is not uniform with depth. (answer in ×10^{-3} −3 m)

Answers: 1

Answer

Physics, 22.06.2019 18:30

Blood pressure the total amount of blood the heart pumps in one minute 2. cardiac output the number of times your heart beats in a minute 3. dilate the amount of blood that the heart can pump in a single beat 4. heart rate the force exerted on the walls of the blood vessels by the blood that moves through them 5. stroke volume to widen or get larger in size

Answers: 3

Answer

Physics, 22.06.2019 19:30

Another word for electromagnetic energy is a. heat b. force c. matter d. radiation

Answers: 1

Answer

You know the right answer?

Ascale used to weigh fish consists of a spring hung from a support. the spring's equilibrium length...

Questions