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A spaceship that is traveling 3,600 kilometers per hour can make a cir 05 Mar 2017, 14:32
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35% (medium)

Question Stats:

70% (02:02) correct 30% (01:51) wrong based on 192 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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E
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A spaceship that is traveling 3,600 kilometers per hour can make a cir 07 Sep 2018, 03:37
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Bunuel
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. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers
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let the spaceship be h kms above the centre of the planet.
To complete 1 orbit it will have to travel 2*\pi*r.

total distance travelled = speed *time
=\(3600*\frac{4}{60}\)
=\(2400 km\)

\(240=2*\pi*h\)
therefore, \(h= \frac{240}{(2*3.14)}\)
approximating 3.14 as 3 because answer choices are multiples of 10.
h=40 km

Answer: E
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A spaceship that is traveling 3,600 kilometers per hour can make a cir 05 Mar 2017, 20:48
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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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A spaceship that is traveling 3,600 kilometers per hour can make a cir 24 Jan 2018, 10:38
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duahsolo
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
Show more

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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A spaceship that is traveling 3,600 kilometers per hour can make a cir 15 Apr 2018, 04:22
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duahsolo
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
Show more

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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A spaceship that is traveling 3,600 kilometers per hour can make a cir 09 Sep 2018, 02:07
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Bunuel
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. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers
Show more

Speed= 3600 km/hr = 3600/60 = 60 km/min
In 4min, the spaceship covers a distance of 60 x 4 = 240 km
The circumference of the rotational path of the spaceship is 240 km
Distance of spaceship from the center of planet (Radius) = \(\frac{240}{{2π}}\)
π=3.14~3 (Since the question asks approximately)
Distance = \(\frac{240}{{2*3}}\)=\(\frac{240}{6}=40\)
Answer E.
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A spaceship that is traveling 3,600 kilometers per hour can make a cir 09 Sep 2018, 11:12
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GmatDaddy
Bunuel
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. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers

let the spaceship be h kms above the centre of the planet.
To complete 1 orbit it will have to travel 2*\pi*r.

total distance travelled = speed *time
=\(3600*\frac{4}{60}\)
=\(2400 km\)

\(240=2*\pi*h\)
therefore, \(h= \frac{240}{(2*3.14)}\)
approximating 3.14 as 3 because answer choices are multiples of 10.
h=40 km

Answer: E
Show more

Bit of typo or an error I feel , Kindly correct it 3600 * 4/60 = 240 Not 2400
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