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xeze [42]
3 years ago
10

A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight ca

r. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?
Physics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

933. 3kg

Explanation:

We are given that

Mass,m=2000 kg

Initial speed,u=4.4 m/s

We have to find the maximum mass of grain if the speed of loaded freight car must not go below 3.0 m/s.

Final speed,v=3 m/s

By conservation of momentum

Initial momentum=Final momentum

mu=m'v

Substitute the values

2000\times 4.4=m'(3)

m'=\frac{2000\times 4.4}{3}

m'=2.93\times 10^3 kg

Mass of freight loaded car=2933.3 kg

Mass of grains=2933.3-2000=933.3 kg

Hence, the maximum  mass of grains that it can accept=933.3 kg

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Explanation:

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Work lost to friction:

W_f =\mu mg(c-x)

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(a) Solve for v:

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\frac{dv}{dx}=0 if:

\mu g-\frac{k}{m}x = 0

x_{max} = \frac{\mu gm}{k}

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4 years ago
Which terrestrial planet experiences the shortest year?
Masteriza [31]

Being the planet closest to the sun, Mercury must be the one
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3 0
3 years ago
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Each value in nature has a number part, called its____<br> and a dimension, or unit
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<u>Magnitude</u>

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You wad up a piece of paper and throw it into the wastebasket. How far will
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The range of the piece of paper is C) 1.4 m

Explanation:

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From the equation of motion, it is possible to find an expression for the range (the total horizontal distance covered) of a projectile, which is given by:

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Learn more about projectile motion:

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