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Ivanshal [37]
3 years ago
5

An ideal heat engine runs with a high temperature reservoir at 750K and a low temperature reservoir at 350K. When the engine is

running, it extracts 400 joules of energy from the hot reservoir and does 250 joules of work each minute. How much energy is expelled to the low temperature reservoir each minute
Physics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:

150 joules of energy is expelled to the low temperature reservoir each minute.

Explanation:

Lets assign the terms first.

T_H ,T_L,Q_H,Q_L,W where ...

T_H = 750 K that is, the high temperature of the reservoir.

T_L  = 350 K, low temperature of the reservoir.

Q_H = 400 J,energy extract from the reservoir.

W = 250 J, work done.

Q_L = energy expelled.

And

Formula to be used:

⇒ Q_H=W+Q_L

Re-arranging.

⇒ Q_L=Q_H-W

Now plugging the values of Q_H and W.

⇒ Q_L=400-250

⇒ Q_L=150 Joules

So energy expelled to the low temperature reservoir is of 150 joules.

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The acceleration formula goes like this: a= (vf-vi)/t so it would be (13-4)/3 Thus the answer is 3m/s^2

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What is the equation describing the motion of a mass on the end of a spring which is stretched 8.8 cm from equilibrium and then
Sedbober [7]

Answer:

x=(0.088m)\cos(\sqrt{\frac{k}{m} }  t)

Explanation:

We first identify the elements of this simple harmonic motion:

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The angular frequency ω can be calculated with the formula:

\omega =\sqrt{\frac{k}{m}}

Where k is the spring constant and m is the mass of the particle.

Now, since the spring starts stretched at its maximum, the appropriate function to use is the positive cosine in the equation of simple harmonic motion:

x=A\cos(\omega t)

Finally, the equation of the motion of the system is:

x=(0.088m)\cos(\omega t)

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3 years ago
Determine the magnitude of the resultant force acting on a 1.5 −kg particle at the instant t=2 s, if the particle is moving alon
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Answer:

F = 63N

Explanation:

M= 1.5kg , t= 2s, r = (2t + 10)m and

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magnitude of the resultant force acting on 1.5kg = ?

Force acting on the mass =

∑Fr =MAr

Fr = m(∇r² - rθ²) ..........equation (i)

∑Fθ = MAθ = M(d²θ/dr + 2dθ/dr) ......... equation (ii)

The horizontal path is defined as

r = (2t + 10)

dr/dt = 2, d²r/dt² = 0

Angle Θ is defined by

θ = (1.5t² - 6t)

dθ/dt = 3t, d²θ/dt² = 3

at t = 2

r = (2t + 10) = (2*(2) +10) = 14

but dr/dt = 2m/s and d²r/dt² = 0m/s

θ = (1.5(2)² - 6(2) ) = -6rads

dθ/dt =3(2) - 6 = 0rads

d²θ/dt = 3rad/s²

substituting equation i into equation ii,

Fr = M(d²r/dt² + rdθ/dt) = 1.5 (0-0)

∑F = m[rd²θ/dt² + 2dr/dt * dθ/dt]

∑F = 1.5(14*3+0) = 63N

F = √(Fr² +FΘ²) = √(0² + 63²) = 63N

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