The kinetic energy of the cart is 16 J
Explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion. Mathematically, it is calculated as:

where
m is the mass of the object
v is its speed
For the cart in this problem,
m = 8 kg is its mass
v = 2 m/s is its speed
Substituting, we find its kinetic energy:

Learn more about kinetic energy:
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Answer:
1) Recollapsing universe
2) critical universe
3) Coasting universe
Explanation:
According to the smallest ration (ratio actual mass density to current density) to largest ration, rank of models for expansion of universe are
1) Recollapsing universe -in this, metric expansion of space is reverse and universe recollapses.
2) critical universe - in this, expansion of universe is very low.
3) Coasting universe - in this, expansion of universe is steady and uniform
We assign the variables: T as tension and x the angle of the string
The <span>centripetal acceleration is expressed as v²/r=4.87²/0.9 and (0.163x4.87²)/0.9 = </span><span>T+0.163gcosx, giving T=(0.163x4.87²)/0.9 – 0.163x9.8cosx.
</span>
<span>(1)At the bottom of the circle x=π and T=(0.163x4.87²)/0.9 – .163*9.8cosπ=5.893N. </span>
<span>(2)Here x=π/2 and T=(0.163x4.87²)/0.9 – 0.163x9.8cosπ/2=4.295N. </span>
<span>(3)Here x=0 and T=(0.163x4.87²)/0.9 – 0.163x9.8cos0=2.698N. </span>
<span>(4)We have T=(0.163v²)/0.9 – 0.163x9.8cosx.
</span><span>This minimum v is obtained when T=0 </span><span>and v verifies (0.163xv²)/0.9 – 0.163x9.8=0, resulting to v=2.970 m/s.</span>
(And don't forget that an object going around a curve at a constant speed is also accelerating.)
I believe there are two reasons:
1). The term is inadequately taught in the American public school system ... along with much of the rest of Science and Math in general.
2). The word became permanently and indelibly corrupted when the automotive industry decided to name the gas pedal the "accelerator".