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A spaceship that is traveling 3,600 kilometers per hour can make a cir

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A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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New post 05 Mar 2017, 14:32
2
4
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A
B
C
D
E

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  45% (medium)

Question Stats:

70% (02:14) correct 30% (01:55) wrong based on 138 sessions

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A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A) 24,000 kilometers
B) 1,200 kilometers
C) 240 kilometers
D) 120 kilometers
E) 40 kilometers

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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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New post 05 Mar 2017, 20:48
1
The spaceship complete a circle at the speed of 3600 Km/hr in 4 mins.

Therefore the distance covered in 4 mins is the circumference of the planet = (3600 * 4)/60 = 240 Kms.

The radius of the spherical planet will be equal to the distance of the spaceship from the center of the planet.

2 * 22/7 * R = 240

Solving the above, R comes to 38.1. The closes approximation from the answer choices is E (40).

Answer is E.
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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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New post 24 Jan 2018, 10:38
duahsolo wrote:
A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A) 24,000 kilometers
B) 1,200 kilometers
C) 240 kilometers
D) 120 kilometers
E) 40 kilometers


Let’s first determine the circumference C of the circular path of the spaceship around the planet:

C = 3600 km/hr x 4 min

C = 3600 km/hr x 4/60 hr

C = (3600 x 4/60) km

C = 240 km

Now we have to determine the radius of the orbit since that is the distance the spaceship is from the center of the plant:

240 = 2πr

240/(2π) = r

Since π ≈ 3, then r ≈ 240/6 = 40 km.

Answer: E
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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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New post 15 Apr 2018, 04:22
duahsolo wrote:
A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A) 24,000 kilometers
B) 1,200 kilometers
C) 240 kilometers
D) 120 kilometers
E) 40 kilometers


Given : Speed = 3600 kms/hr

Time = 4 minutes or 1/15 hrs

Distance = 3600 * 1/15

D = 240 kms orbit

Circumference = 2*pi*r

240 = 2*pi*r

r = 40 kms approx

Hence = (E)
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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir &nbs [#permalink] 15 Apr 2018, 04:22
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