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murzikaleks [220]

3 years ago

5

A 5-kg brick sliding on an ice covered pond has a kinetic energy of 16 Joules. a box of identical mass but half the speed is sli

ding on the same ice. How many Joules of kinetic energy does the brick have?

1 answer:

ludmilkaskok [199]3 years ago

8 0

It would have 8 joules because if the box is going half the speed with the same mass the you would just divide the joules in half

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Answer:

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Answer:

19080667.0818 m/s

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Explanation:

m = Mass of deuterons = $3.34\times 10^{-27}\ kg$

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d = Diameter

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Kinetic energy is given by

$K=\dfrac{1}{2}mv^2\\\Rightarrow v=\sqrt{\dfrac{2K}{m}}\\\Rightarrow v=\sqrt{\dfrac{2\times 3.8\times 10^6\times 1.6\times 10^{-19}}{3.34\times 10^{-27}}}\\\Rightarrow v=19080667.0818\ m/s$

The speed of the deuterons when they exit is 19080667.0818 m/s

In this system the centripetal and magnetic force will balance each other

$\dfrac{mv^2}{r}=qvB\\\Rightarrow \dfrac{mv^2}{\dfrac{d}{2}}=qvB\\\Rightarrow d=\dfrac{2mv}{qB}\\\Rightarrow d=\dfrac{2\times 3.34\times 10^{-27}\times 19080667.0818}{1.6\times 10^{-19}\times 1.25}\\\Rightarrow d=0.637294\ m$

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Current is given by

$i=\dfrac{nq}{t}\\\Rightarrow n=\dfrac{it}{q}\\\Rightarrow n=\dfrac{350\times 10^{-6}\times 1}{1.6\times 10^{-19}}\\\Rightarrow n=2.1875\times 10^{15}$

The number of deuterons is $2.1875\times 10^{15}$

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