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matrenka [14]
3 years ago
13

Two acrobats flying through the air grab and hold onto each other in midair as part of a circus act.One acrobat has a mass of 60

kg and has a horizontal velocity of 5 m/s just before the grab.Another acrobat has a mass of 50 kg and has a horizontal velocity of -3 m/s just before the grab.Their horizontal velocity immediately after they grab onto each other is:
Physics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

1.36m/s

Explanation:

We are given that

Mass of one acrobat,m_1=60 kg

Mass of another acrobat,m_2=50 kg

v_2=-3 m/s

v_1=5 m/s

We have to find their  velocity immediately after they grab  onto each other.

The collision between two acrobat is inelastic

According to law of conservation of momentum

m_1v_1+m_2v_2=(m_1+m_2)V

Substitute the values

60\times 5+50(-3)=(60+50)V

300-150=110V

V=\frac{300-150}{110}=1.36m/s

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An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r. Let P be the electric
ELEN [110]

Answer:

a. 0 W b. ε²/R c. at R = r maximum power = ε²/4r d. For R = 2.00 Ω, P = 227.56 W. For R = 4.00 Ω, P = 256 W. For R = 6.00 Ω, P = 245.76 W

Explanation:

Here is the complete question

An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r. Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R. What is the value of P in the limit that R is (a) very small; (b) very large? (c) Show that the power output of the battery is a maximum when R = r . What is this maximum P in terms of ε and r? (d) A battery has ε= 64.0 V and r=4.00Ω. What is the power output of this battery when it is connected to a resistor R, for R=2.00Ω, R=4.00Ω, and R=6.00Ω? Are your results consistent with the general result that you derived in part (b)?

Solution

The power P consumed by external resistor R is P = I²R since current, I = ε/(R + r), and ε = e.m.f and r = internal resistance

P = ε²R/(R + r)²

a. when R is very small , R = 0 and P = ε²R/(R + r)² = ε² × 0/(0 + r)² = 0/r² = 0

b. When R is large, R >> r and R + r ⇒ R.

So, P = ε²R/(R + r)² = ε²R/R² = ε²/R

c. For maximum output, we differentiate P with respect to R

So dP/dR = d[ε²R/(R + r)²]/dr = -2ε²R/(R + r)³ + ε²/(R + r)². We then equate the expression to zero

dP/dR = 0

-2ε²R/(R + r)³ + ε²/(R + r)² = 0

-2ε²R/(R + r)³ =  -ε²/(R + r)²

cancelling out the common variables

2R =  R + r

2R - R = R = r

So for maximum power, R = r

So when R = r, P = ε²R/(R + r)² = ε²r/(r + r)² = ε²r/(2r)² = ε²/4r

d. ε = 64.0 V, r = 4.00 Ω

when R = 2.00 Ω, P = ε²R/(R + r)² = 64² × 2/(2 + 4)² = 227.56 W

when R = 4.00 Ω, P = ε²R/(R + r)² = 64² × 4/(4 + 4)² = 256 W

when R = 6.00 Ω, P = ε²R/(R + r)² = 64² × 6/(6 + 4)² = 245.76 W

The results are consistent with the results in part b

8 0
4 years ago
Why is gangue sometimes reprocessed.
VLD [36.1K]

Answer:

To win some of the ore associated with them as they can become more economical to produce.

Explanation:

Sometimes gangues are reprocessed so as to win back some of the ore that are associated with them as they become more economical to produce if the price of the metal goes up.

Gangues are undesired minerals that occurs in association with the desired ore. They are usually treated as wastes in mining.

  • Often times, gangues can become economical to mine.
  • Some gangues are not totally wastes, they are just undesired materials associated with the ore.
  • Under certain economic considerations, they might become economical and augment the ore being processed.
  • The price of the metal determines if the ore in the gangue should be won.
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Force has _____. magnitude direction gravity weight
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Answer:

magnitude

Explanation:

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