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3 years ago

Calculate power crane has 10000 J for 100 sec

Physics

1 answer:

olchik [2.2K]3 years ago

8 0

<h3>Answer:</h3>

100 Watts

<h3>Explanation:</h3>

Power is the rate at which work is done.
Power is measured in Joules per second or watts.
It is calculated by dividing work done in joule by time taken in seconds.

Power = Work done ÷ time

In this case;

Work done = 10,000 Joules

Time = 100 sec

Therefore;

Power = 10,000 Joules ÷ 100 sec

= 100 J/s

Therefore, the power of the crane is 100 watts

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Answer:

6.86 * 10^8 m

Explanation:

Parameters given:

Mass of hot gas, m = 2 kg

Gravitational Force, F = 618.2 N

Mass of Alpha Centauri, M = 2.178 * 10^30 kg

The gravitational force between two masses (the hot gas and Alpha Centauri) , m and M, at a distance, r, given as:

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Where G = gravitational constant

Therefore,

618.2 = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / r²

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A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then submerged in a liquid that imp

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Answer:

the required value is $x(t) = \frac{7}{4} e^{-3t}-\frac{3}{4} e^{-7t}$

Explanation:

Given that,

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$1\frac{d^2x}{dt^2} = -21x=10\frac{dx}{dt}$

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and the auxilliary equation is given by

$m^2 + 10m + 21 = 0\\\\m^2 + 7m+3m+21=0\\\\m(m+7)+3(m+7)=0\\\\(m+7)(m+3)=0\\\\m=-7\\m=-3$

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since time is 0 then mass is one meter below

so x(0) = 1

Also it start from rest , that implies , velocity is 0 and time is 0

$x'(0) = 0$

substitute the initial condition

$C_1 +C_2 = 1$

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Solve the above equation to get C₁ and C₂

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substitute for C₁ and C₂ in general solution

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Thus the required value is $x(t) = \frac{7}{4} e^{-3t}-\frac{3}{4} e^{-7t}$

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3 years ago

Calculate power crane has 10000 J for 100 sec​

Calculate power crane has 10000 J for 100 sec