Sending Swift Observatory to Space-Swift is a space-based multi-wavelength obser

Question

Sending Swift Observatory to Space-Swift is a space-based multi-wavelength observatory dedicated to the study of gamma-ray bursts to help scientists gain more understanding of the early universe. Scheduled for launch in Fall 2003, Swift is collaboration between the United States, the United Kingdom, and Italy. Swift has a mass of about 1,400 kg (which is about the same mass as 30 ten-year-olds in a bag). In order to get the Swift satellite into orbit, it will be launched from a Boeing Delta rocket with a mass of about 231,800 kg. With Swift inside the rocket, the combined mass of the two will be 1,400 + 231,800 = 233,300 kg! The Earth's gravity pulls the rocket (with Swift inside) down with a force of about 2,285,000 N. But the rocket's boosters can exert an upward force of about 2,722,000 N. a) What is the net force on the rocket (don't forget to specify direction)? b) What is the acceleration of the rocket? c) What are the speeds of the rocket at the instant of 1 second? 2 second? 3 second?

Explanation / Answer

Given,

Fg = 2285000 N ; Ft = 2722000 N

M = 233300 kg

a)Since the thrust is acting upward and the gravity downwards. The net force on the rocket will be:

Fnet = Ft - Fg

Fnet = 2722000 - 2285000 = 437000

Hence, the net force is, Fnet = 437000 N

b)Fnet = ma = 437000

a = 437000/m = 437000/233300 = 1.87 m/s^2

Hence, a = 1.87 m/s^2

c)we know that,

a = v/t =. v = at

at t = 1 sec

v = 1.87 x 1 = 1.87 m/s

v(1) = 1.87 m/s

v(2) = 1.87 x 2 = 3.74 m/s

v(3) = 3.74 m/s

v(3) = 1.87 x 3 = 5.61 m/s

v(3) = 5.61 m/s

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.