Net Force of a Rocket and Acceleration

[icecubefosho]

Homework Statement

An 8.0Kg rocket is fired and encounters a force of air resistance of 4.9N. If the rocket's engines applied 100N of thrust:
A. What is the Net Force on the rocket?
B. What is the Rocket's Acceleration?

Homework Equations

(A) F=MA
(B) Is it (Vfinal - Vinitial)/T?

The Attempt at a Solution

(A)F=MA
F=(8.0KG)(A) = (8.0 x A) The paper tells me its 16.7N
(B) I don't know if this is the right equation... but it must be about 2.9 M/S2 to get A above.

 

[learningphysics]

a) The rocket is fired vertically... just added up all the forces in the vertical direction... remember to take signs into account... you have 3 forces... thrust, gravity and air resistance.

b) here use fnet = ma where fnet is what you get in part a).

 

[ogb p]

I would like to provide a response to the given content by first clarifying that the equation F=MA is applicable to both parts (A) and (B) of the problem. This equation represents Newton's Second Law of Motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

(A) To find the net force on the rocket, we can use the given information of 8.0kg mass and 4.9N force of air resistance. Using the formula F=MA, we can substitute the values and solve for the net force (F) as follows:

F = (8.0kg)(A) - 4.9N

Since the rocket's engines applied 100N of thrust, we can add this value to the equation above:

F = (8.0kg)(A) + 100N - 4.9N

Therefore, the net force on the rocket is 95.1N.

(B) The rocket's acceleration can also be calculated using the same equation, F=MA. We already know the mass of the rocket (8.0kg) and the net force acting on it (95.1N). Therefore, we can rearrange the equation to solve for acceleration (A) as follows:

A = F/M

Substituting the values, we get:

A = 95.1N/8.0kg

This results in an acceleration of 11.9 m/s^2.

I would also like to point out that the equation provided in the attempt at a solution, (Vfinal - Vinitial)/T, is not applicable in this scenario as it represents the average acceleration over a certain period of time (T), and does not take into account the mass and net force of the rocket. Therefore, it is important to use the correct equation, F=MA, to accurately calculate the net force and acceleration of the rocket.