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RUDIKE [14]
3 years ago
14

If a spring with a spring constant k = 10 N/m is stretched from its equilibrium position by 0.1 m, and released, what would be t

he maxi- mum kinetic energy at any time in its motion? Neglect friction.
1. 0.025 J
2. 0.1 J
3. Not enough information given
4. 0.05 J
5. 1 J
Physics
1 answer:
inysia [295]3 years ago
6 0

Answer:

0.05J

Explanation:

Since the total energy is conserved I.e the mechanical energy, the energy present in the system are kinetic energy, potential energy and the gravitational potential energy. The expression for this energy is written as

Kinetic Energy=1/2MV^2

Potential Energy=1/2Kx^2

Where K is the spring constant and X is the extension the spring experience.

Gravitational Energy=mgh

Where m=mass, g=gravity constant and h=height

Hence for a spring with spring constant 10N/m and extension 0.1m the potential energy can be calculated as

PE=1/2Kx^2

If we substitute values we arrive at

PE=1/2×10×0.1^2

PE=0.05J

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. You are making a frame of uniform width for a picture that is to be displayed at the local museum. The picture is 4 feet tall
nikdorinn [45]

Answer:

1 feet

Explanation:

Frame width = x

The length of the frame will be

L=4+x+x (bottom and top that is why x is added twice)

\\\Rightarrow L=4+2x

The width of the frame will be

W=3+x+x\\\Rightarrow W=3+2x

Area is given by

A=LW\\\Rightarrow 30=(4+2x)(3+2x)\\\Rightarrow 30=12+14x+4x^2\\\Rightarrow 4x^+14x-18=0

Solving the above equation we get

x=\frac{-14+\sqrt{14^2-4\cdot \:4\left(-18\right)}}{2\cdot \:4}, \frac{-14-\sqrt{14^2-4\cdot \:4\left(-18\right)}}{2\cdot \:4}\\\Rightarrow x=1, -\frac{9}{2}

Hence width of the frame is 1 ft

4 0
3 years ago
A marathon runner completes a 42.238 km course in 2 h, 31 min, and 46 s . There is an uncertainty of 29 m in the distance run an
icang [17]

Answer:

The percentage uncertainty in the average speed is 0.10% (2 sig. fig.)

Explanation:

Consider the formula for average speed \bar{v}.

\displaystyle \bar{v} = \frac{s}{t},

where

  • s is the total distance, and
  • t is the time taken.

The percentage uncertainty of a fraction is the sum of percentage uncertainties in

  • the numerator, and
  • the denominator.

What are the percentage uncertainties in s and t in this question?

The unit of the absolute uncertainty in s is meters. Thus, convert the unit of s to meters:

s = \rm 42.238\;km = 42.238\times 10^{3}\;m.

\begin{aligned}\displaystyle \text{Percentage Uncertainty in }s &= \frac{\text{Absolute Uncertainty in } s}{\text{Measured Value of }s}\times 100\% \\ &=\rm\frac{29\; m}{42.238\times 10^{3}\;m}\times 100\%\\ &= 0.0687\%\end{aligned}.

The unit of the absolute uncertainty in t is seconds. Convert the unit of t to seconds:

t = \rm 2\times 3600 + 31\times 60 + 46 = 9106\;s

Similarly,

\begin{aligned}\displaystyle \rm \text{Percentage Uncertainty in }t &= \frac{\text{Absolute Uncertainty in }t}{\text{Measured Value of }t}\times 100\% \\ &=\rm\frac{46\; s}{9106\;s}\times 100\%\\ &= 0.0329\%\end{aligned}.

The average speed \bar{v} here is a fraction of s and t. Both s and t come with uncertainty. The percentage uncertainty in \bar{v} will be the sum of percentage uncertainties in s and t. That is:

\text{Percentage Uncertainty in }\bar{v}\\=(\text{Percentage Uncertainty in } s) + (\text{Percentage Uncertainty in } t)\\ = 0.0687\% + 0.0329\%\\ = 0.010\%.

Generally, keep

  • two significant figures for percentage uncertainties that are less than 2%, and
  • one for those that are greater than 2%.

The percentage uncertainty in \bar{v} here is less than 2%. Thus, keep two significant figures. However, keep more significant figures than that in calculations to make sure that the final result is accurate.

3 0
4 years ago
Gold is called noble gas why
slamgirl [31]
This is what i found.
Gold<span> is a </span>noble<span> element because "in chemistry, the </span>noble<span>metals are metals that are resistant to corrosion and oxidation in moist air (unlike most base metals)."</span>
3 0
4 years ago
Read 2 more answers
The graph in the accompanying figure (Figure 1) shows the magnitude of the force exerted by a given spring as a function of the
serious [3.7K]

The elastic potential energy stored in the stretched spring is 1 J.

<h3>What is Hooke's law?</h3>

Hooke's law states that; provided the elastic limit is not exceeded, the extension of the spring is directly proportional to the force on the spring.

Given that;

Force on the spring = 350 Newton

Distance stretched = 7 centimeters or 0.07 m

Hence;

F = ke

k = F/e = 350 Newton/0.07 m = 5000 N/m

Work done in stretching a spring = 1/2ke^2

= 0.5 × 5000 × (2 × 10^-2)^2 =1 J

Learn more about elastic potential energy: brainly.com/question/156316

4 0
2 years ago
Write the meaning of an object has 2 meter length
Ivahew [28]

Answer:

The object has 2 meter length. This means the length is any quantity with a dimension distance. The definition of the length is how long something is or amount of space. In the given data it is stated that, the object is something that has a length of 2 meter.  

<em>Let's take examples to understand. </em>

For example a thread or a table is an object which has a total length of 2 meters.  

Another example is something we are measuring it gives us a result of 2 meters of length by using a meter scale or meter tape.    

Length is a measure of distance and it is a fundamental quantity. Meter is a international system of units (SI units).    



 



4 0
4 years ago
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