Question
Asked Dec 18, 2019
7 views

A spaceship at rest relative to a nearby star in interplanetary
space has a total mass of 2.50 x 104 kg. Its engines fire at t = 0,
steadily burning fuel at 76.7 kg/s with an exhaust speed of
4.25 x 103 m/s. Calculate the spaceship’s (a) acceleration at
t = 0, (b) mass at t = 125 s, (c) acceleration at t = 125 s, and
(d) speed at t = 125 s, relative to the same nearby star.

check_circle

Expert Answer

Step 1

a). Formula to calculate acceleration at time zero seconds is,

help_outline

Image Transcriptionclose

(I) M T is the thrust on the spaceship Mis the total mass of the spaceship Formula to calculate thrust on the rocket is, AM T = v, Δt (II) v, is the exhaust velocity AM/At is the rate of change of mass of spaceship or fuel

fullscreen
Step 2

Use equation (II) in (I),

help_outline

Image Transcriptionclose

ДМ At м (4.25 x10° m/s)(76.7 kg /s) 2.50 x10ʻ kg 130.4 10 = 13.0m/s The acceleration at time zero seconds is 13.0m/s

fullscreen
Step 3

b). Formula to calculate mass of the spa...

help_outline

Image Transcriptionclose

ДМ M, = M – Δ M, is the mass of the space ship at time t t is the time M; = (2.50x10ʻkg)- (76.7kg -s*)(125s) = 1.54x10* kg The mass of the spaceship at time 125 seconds is1.54 ×10 kg.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A ball of mass 0.150 kg is dropped from rest from a heightof 1.25 m. It rebounds from the floor to r...

A: Click to see the answer

question_answer

Q: 8.1.2. A beam of neutrons that all have the same energy scatters slot Detector TL o1i Neutron source...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

question_answer

Q: Discuss whether or not a falling object increases in speed when its acceleration of fall decreases?

A: Whenever we have a positive acceleration, the speed will increase, irrespective of the magnitude of ...

question_answer

Q: Starting from rest, a 5.00 - kg block slides 2.50 m downa rough 30.0° incline. The coefficient of ki...

A: a)the work done by the force of gravity is 

question_answer

Q: A child's pogo stick (Fig. P5.77) stores energy in a spring (k = 2.50 x 10* N/m). At position @ (x =...

A: Click to see the answer

question_answer

Q: What impulse occurs when an average force on 10N is exerted on a cart for 2.5s?

A: Write the expression for the impulse,

question_answer

Q: A roller-coaster car of mass 1.50 x 10° kg is initially at the top of a rise at point @. It then mov...

A: Part A:

question_answer

Q: A billiard ball moving at 5.00 m/s strikes a stationary ballof the same mass. After the collision, t...

A: Figure.1 shows the pictorial representation of the situation.

question_answer

Q: An object has an initial velocity of 10 m/s and an acceleration of 3 m/s squared. How long will it t...

A: The acceleration is defined as the rate of change of velocity.