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kotegsom [21]
3 years ago
12

(a) What is the escape speed on a spherical asteroid whose radius is 545 km and whose gravitational acceleration at the surface

is 2.9 m/s2?
Physics
2 answers:
Irina-Kira [14]3 years ago
4 0

Answer:

1.78 km/s

Explanation:

radius, R = 545 km = 545000 m

acceleration due to gravity, g = 2.9 m/s²

The formula for the escape velocity is given by

v=\sqrt{2gR}

v=\sqrt{2\times 545000\times 2.9}

v = 1777.92 m/s

v = 1.78 km/s

Thus, the escape velocity on the surface of asteroid is 1.78 km/s.

Keith_Richards [23]3 years ago
3 0

Answer:

1777.92 m/s

Explanation:

R = Radius of asteroid = 545 km

M = Mass of planet

g = Acceleration due to gravity = 2.9 m/s²

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

Acceleration due to gravity is given by

g=\dfrac{GM}{R^2}\\\Rightarrow M=\dfrac{gR^2}{G}

The expression of escape velocity is given by

v=\sqrt{\dfrac{2GM}{R}}\\\Rightarrow v=\sqrt{\dfrac{2G}{R}\dfrac{gR^2}{G}}\\\Rightarrow v=\sqrt{2gR}\\\Rightarrow v=\sqrt{2\times 2.9\times 545000}\\\Rightarrow v=1777.92\ m/s

The escape speed is 1777.92 m/s

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Answer:

The speed does it head toward the goal = 41.87 \frac{m}{s}

Explanation:

Mass = 0.107 kg

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Time = 0.16 sec

From newton's second law,  Force  = mass × acceleration

⇒  F = m × a

⇒  28 = 0.107 × a

⇒  a = 261.7 \frac{m}{s^{2} } --------- (1)

This is the value of acceleration.

Final speed of the mass is calculated by the equation V = U + at

⇒ U = 0 because mass in in rest position at start.

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Put the values of acceleration and time in above formula we get

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Therefore the speed does it head toward the goal = 41.87 \frac{m}{s}

5 0
3 years ago
Sound waves have the ability to cause objects to vibrate. If a paperback book is placed near a speaker and the volume of the spe
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2 years ago
If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either
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Answer:

Height h= 1.7 m

Explanation:

Supposing we have to find height in meter.

1 feet = 0.3048 m

1 inch = 0.0254 m

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If racing alcohol has a mass density of 790kg/m3, what mass will a 1250-litre tank hold?
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Density = Mass per unit Volume
that is,
D = m / V

Now,
We've been provided with,

Density = 790 kg/m³
Volume = 1250 litres = 1.250 m³

Now,
density = \frac{mass}{volume} \\ 790 = \frac{m}{1.250} \\ 790 \times 1.250 = m \\ m = 790 \times 1.250 \\ m = 790 \times \frac{1250}{1000} \\ m = 790 \times \frac{5}{4} \\ m = 197.5 \times 5 \\ m = \frac{1975}{10} \times 5 \\ m = \frac{1975}{2} = 987.5 \: kg

987.5 kg of mass will a 1250 litres tank will hold.

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