froyg1234

16.04.2021 •

Physics

An object with a mass of 200 g rests on a coiled spring with a spring constant of k=500 N/m. The spring is compressed by 5 cm.
a. What is the energy stored in the spring? b. How much energy would the spring give to the object?
c. How high will the object reach?

PLS HELP WILL MARK BRAINLIEST!!!

An object with a mass of 200 g rests on a coiled spring with a s

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Ответ:

ri069027

12.04.2022

Physics

Velocity will be $v(t)=\frac{3t^2}{2}+5t-4ft/sec$

Distance traveled = 6 feet

Explanation:

We have given acceleration a(t)=3t+5

We know that $v(t)=\int a(t)dt$

So $v(t)=\int 3t+5dt$

$v(t)=\frac{3t^2}{2}+5t+c$

We have given v(0)=-4ft/sec

So $-4=\frac{3\times 0^2}{2}+5\times 0+c$

c = -4 ft/sec

So $v(t)=\frac{3t^2}{2}+5t-4ft/sec$

Now we have to find distance traveled in interval [0,2]

So distance $s=\int v(t)dt$

$s=\int_{0}^{2}v(t)dt$

$s=\int_{0}^{2}(\frac{3t^2}{2}+5t-4)dt$

$s=(\frac{t^3}{2}+\frac{5t^2}{2}-4t)_{0}^{2}$

=(4+10-8)-0

=6ft

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An object with a mass of 200 g rests on a coiled spring with a spring constant of k=500 N/m. The spring is compressed by 5 cm. a. What is the energy stored in the spring? b. How much energy would the spring give to the object? c. How high will the object reach?​