Please answer all thanks. Suppose the evil Klingon empire moved the earth out to

Question

Please answer all

thanks.

Suppose the evil Klingon empire moved the earth out to an orbit four times the current radius. The new period of the earth would be ___ year(s). a. 8 b. 4 c. 1 d. 1/4 c. 1/8 A 20 kg block of ice is floating in a swimming pool of fresh water. The temperature of the water in the pool is 30 degree C. The ice melts while the temperature of the water surrounding the ice stays virtually constant. Which of the graphs below best shows the water height in the pool vs, time during the melting process? (All beginning heights are the same. All times are the same.) A rocket leaves the Earth at a speed of 4.00 times 10^4 m/s. What is the rocket's speed when it is very far from the Earth? G = 6.67 times 10^-11 N middot m^2/kg^2. R_Earth = 6.37 times 10^6 m. M_Earth = 5.98 times 10^24 kg. a. 2.68 times 10^4 b. 3.84 times 10^4 c. 2.81 times 10^4 d. 7.23 times 10^3 e. 1.26 times 10^3 An ideal fluid flows through a level pipe of radius 0.5 cm at a velocity of 6.0 m/s. The density of the fluid is 900 kg/m^3 and the pressure is 1.30 times 10^3 N/m^2. When this fluid flows into a connecting pipe of radius 1.5 cm, what is the pressure in N/m^2 ? a. 1.30 times 10^5 b. 1.46 times 10^5 c. 1.10 times 10^5 d. 1.58 times 10^5 e. 1.74 times 10^5

Explanation / Answer

1] T is proportional to r ^1.5

new T = 4^1.5 = 8

option a

2] option c is correct as there is large difference between temperature of ice and water.

3] v = sqrt(2E/m) = sqrt(2*0.5*40000^2-2*6.67e-11*5.98e24/6.37e6)

= 38400 m/s

optionb

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