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Anestetic [448]

3 years ago

10

Gerald works on a futuristic space station servicing interstellar space ships. He observes a ship traveling directly away from t

he space station at a speed of 0.6c. The ship launches a shuttle towards the space station with a speed of 0.7 c relative to the ship. What is the energy (including the rest energy) of the shuttle from the reference frame of the space station

1 answer:

julsineya [31]3 years ago

5 0

Answer:

9.14x10^22J

Explanation:

r= 1/√1-(0.17c)²/c²

1.01477

E= rmc²

9.14*10^22J

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The potential energy stored in the compressed spring of a dart gun, with a spring constant of 32.50 N/m, is 0.640 J. Find by how

liraira [26]

Answer:

A

$x = 0.198456 \ m$

B

$h = 1.3061 \ m$

C

$v = 5.06 \ m/s$

D

$d = 4.0273 \ m$

Explanation:

Considering the first question

From the question we are told that

The spring constant is $k = 32.50 N/m$

The potential energy is $PE = 0.640 \ J$

Generally the potential energy stored in spring is mathematically represented as $PE = \frac{1}{2} * k * x^2$

=> $0.640= \frac{1}{2} * 32.50 * x^2$

=> $x = \sqrt{0.03938}$

=> $x = 0.198456 \ m$

Considering the second question

From the question we are told that

The mass of the dart is m = 0.050 kg

Generally from the law of energy conservation

$PE = mgh$

=> $0.640 = 0.050 * 9.8 * h$

=> $h = 1.3061 \ m$

Considering the third question

The height at which the dart was fired horizontally is $H = 3.90\ m$

Generally from the law of energy conservation

$PE = KE$

Here KE is kinetic energy of the dart which is mathematical represented as

$KE = \frac{1}{2} * mv^2$

=> $0.640 = \frac{1}{2} * 0.050 * v^2$

=> $v^2 = 25.6$

=> $v = 5.06 \ m/s$

Considering the fourth question

Generally the total time of flight of the dart is mathematically represented as

$t = \frac{ 2 * H }{g}$

=> $t = \frac{ 2 * 3.90 }{9.8 }$

=> $t = 0.7959 \ s$

Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as

$d = v * t$

=> $d = 5.06 * 0.7959$

=> $d = 4.0273 \ m$

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3 years ago

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a car moving east at 45 km/h turns and travels west at 30 km/h. What is the magnitude and direction of the change in velocity?

PSYCHO15rus [73]

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I threw a plastic ball in the pool for my dog to fetch. The mass of the ball was 125g. What must the volume be to have a density

Stells [14]

Answer:

250 mL

Explanation:

Density equation:

$Density = \frac{mass}{volume}$

Variables:

D = density

m = mass

V = volume

Solve:

M = 125 g

D = 0.500 g/mL

V = ?

$0.500 g/mL = \frac{125 g}{V}$

V = 250 mL

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3 years ago