A 44,495 kg spacecraft is traveling through space with an initial speed of 1,290 m/s relative to Earth. A thruster fires for 27.
1 answer:
Answer:
The final momentum of the spacecraft is, p' = 57363368.4 kg m/s
Explanation:
Given data,
The mass of the spacecraft. m = 44495 kg
The initial speed of the spacecraft, u = 1290 m/s
The thruster fires for the time, t= 27.4 s
The continuous force exerted by the thruster, F = 1284 N
The initial momentum of the spacecraft, p = mu
p = 44495 x 1290
= 57398550 kg m/s
The final momentum of the spacecraft, p' = mv
According to newton's II law, the rate of change of momentum is equal to the force acting on the body.
p' = Ft + mu
= -1284 x 27.4 + 57398550
= 57363368.4 kg m/s
Hence, the final momentum of the spacecraft is, p' = 57363368.4 kg m/s
You might be interested in
Answer:
Question 1)
a) The speed of the drums is increased from 2 ft/s to 4 ft/s in 4 s. From the below kinematic equations the acceleration of the drums can be determined.
This is the linear acceleration of the drums. Since the tape does not slip on the drums, by the rule of rolling without slipping,
where α is the angular acceleration.
In order to continue this question, the radius of the drums should be given.
Let us denote the radius of the drums as R, the angular acceleration of drum B is
α = 0.5/R.
b) The distance travelled by the drums can be found by the following kinematics formula:
One revolution is equal to the circumference of the drum. So, total number of revolutions is
Question 2)
a) In a rocket propulsion question, the acceleration of the rocket can be found by the following formula:
b)
Answer:
B) the change in momentum
Explanation:
Impulse is defined as the product between the force exerted on an object (F) and the contact time ()
Using Newton's second law (F = ma), we can rewrite the force as product of mass (m) and acceleration (a):
However, the acceleration is the ratio between the change in velocity () and the contact time (
):
, so the previous equation becomes
And by simplifying ,
which corresponds to the change in momentum of the object.