Physics: Are wind turbines better than fossil fuels? Why or why not? PLEASE HELP FAST!!! GIVING UP ALL MY POINTS PLUS

Momentum is conserved, so the sum of the momenta of the bullet and block before collision is equal to the momentum of the combined bullet-block system,where v is the speed of the bullet-block system. The block starts at rest so it has no initial momentum, and solving for v givesThe total work W performed by the spring on the bullet-block system as it is compressed a distance x iswhere k is the spring constant, and the work done is negative because the restoring force of the spring opposes the bullet-block...

Are wind turbines better than fossil fuels? Why

Ответ:

juniorgutierrez997

07.10.2021

Physics

Momentum is conserved, so the sum of the momenta of the bullet and block before collision is equal to the momentum of the combined bullet-block system,

m_bv_b+m_wv_w = (m_b+m_w)v

where v is the speed of the bullet-block system. The block starts at rest so it has no initial momentum, and solving for v gives

$v = \dfrac{m_b}{m_b+m_w} v_b$

The total work W performed by the spring on the bullet-block system as it is compressed a distance x is

$W = -\dfrac12kx^2$

where k is the spring constant, and the work done is negative because the restoring force of the spring opposes the bullet-block as it compresses the spring.

By the work-energy theorem, the total work done is equal to the change in the bullet-block's kinetic energy ∆K, so we have

$W_{\rm total} = W = \Delta K$

The bullet-block starts moving with velocity v found earlier and comes to a stop as the spring slows it down, so we have

$-\dfrac12kx^2 = -\dfrac12(m_b+m_w)v^2 \implies kx^2 = \dfrac{{m_b}^2}{m_b+m_w}{v_b}^2$

Solve for m_w :

$m_w=\dfrac1k\left(\dfrac{m_bv_b}x\right)^2-m_b$

$m_w=\dfrac1{205\frac{\rm N}{\rm m}}\left(\dfrac{(0.0135\,\mathrm{kg})\left(245\frac{\rm m}{\rm s}\right)}{0.350\,\rm m}\right)^2-0.0135\,\mathrm{kg}\approx \boxed{0.422\,\mathrm{kg}}$

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Are wind turbines better than fossil fuels? Why or why not? PLEASE HELP FAST!!! GIVING UP ALL MY POINTS PLUS

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