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aivan3 [116]
3 years ago
9

A spring that is compressed 14.5 cm from its equilibrium position stores 2.99 J of potential energy. Determine the spring consta

nt.
Physics
1 answer:
strojnjashka [21]3 years ago
7 0

Answer:

284.4233 N/m

Explanation:

k = Spring constant

x = Compression of spring = 14.5 cm

U = Potential energy = 2.99 J

The potential energy of a spring is given by

U=\dfrac{1}{2}kx^2

Rearranging to get the value of k

\\\Rightarrow k=\dfrac{2U}{x^2}\\\Rightarrow k=\dfrac{2\times 2.99}{0.145^2}\\\Rightarrow k=284.4233\ N/m

The spring constant is 284.4233 N/m

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The relation of mass m, angular velocity o and radius of the circular path r of an object with the centripetal force is-
k0ka [10]

Answer:

Correct option not indicated

Explanation:

There are few mistakes in the question. The angular velocity ought to have been denoted with "ω" and not "o" (as also suggested in the options).

The formula to calculate a centripetal force (<em>F)</em><em> </em>is

<em>F</em> = mv²/r

Where m is mass, v is velocity and r is radius

where

While the formula to calculate a centrifugal force (F) is

<em>F </em>= mω²r

where m is mass, ω is angular velocity and r is radius of the circular path.

<u>From the above, it can be denoted that the relationship been referred to in the question is that of a centrifugal force and not centripetal force, thus the correct option should be</u> C.

NOTE: Centripetal force is the force required to keep an object moving in a circular path/motion and acts inward towards the centre of rotation while centrifugal force is the force felt by an object in circular motion which acts outward away from the centre of rotation.

8 0
3 years ago
A pendulum is swinging back and forth with no non-conservative forces acting on it. At the highest points of its trajectory, the
Setler [38]

Answer:

b. K = U

Explanation:

In this case you have that there are no non-conservative forces over the pendulum. Hence, the total mechanical energy if the pendulum must conserve. You take into account that the potential and kinetic energy of a pendulum are given by:

E_T=K+U=\frac{1}{2}mv^2+mgh

m: mass of the pendulum

h: height of the pendulum

v: speed

In each moment of the trajectory of the pendulum ET does not change.

You have that, at the lowest point U=0J  and for the highest point K=0J. For that point K=ET and U=ET respectively.

Hence, for a mid-way between those points it is necessary that:

b. K = U

7 0
3 years ago
An oscillator makes 360 vibrations in 3 minutes.
IceJOKER [234]

Explanation :

It is given that an oscillator makes 360 oscillations in 3 minutes.

(a) Using unitary method :

No. of vibrations in one minute is, n=\dfrac{360}{3}=120

So, no of vibrations in one minute is 120.

(b) Similarly,

3 minutes = 180 seconds

No of vibrations in one second is \dfrac{360}{180}=2

So, the no of vibrations in one second is 2.

(c) Time period of the wave is given by :

T=\dfrac{1}{2\ s^{-1}}

T=0.5\ s

The time period of the wave is 0.5 s

(d) The no of vibation per second is called as its frequency.

\nu=\dfrac{1}{T}

\nu=2\ Hz

Hence, this is the required solution.

8 0
3 years ago
Read 2 more answers
A lens focuses light at a single point called the focal point. An illustration of a vertical converging lens with 5 parallel ray
djyliett [7]

Answer:

refraction

Explanation:

When waves, including light, pass through two media with different densities, the waves bend at the transition between the two media due to differences in speed and wavelength. Convex lenses bend (refract) light and  concentrate it at one point called the focal point.

hope this helps

4 0
3 years ago
A wave traveling at 100 m/s has a frequency of 200Hz. What is the wavelength of this wave?
Natalija [7]
The wavelength formula is λ = v/f.
100/200= .5
The wavelength is .5
3 0
3 years ago
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