Respuesta :
Answer:F=11.76 kN
Explanation:
Given
mass of rocket [tex]m=400 kg[/tex]
Force F is applied up to a height of 100 m then it is shut off
final velocity v up to which force is applied is given by
[tex]v^2-u^2=2 as [/tex]
[tex]v^2-0=2\times a\times 100[/tex]
[tex]v=\sqrt{200 a}[/tex]
After this rocket continues to move to a maximum height under the action of gravity
using
[tex]v_1^2-v^2=2 gs_2[/tex]
[tex]s_2=400-100=300 m[/tex]
[tex]0-200 a=-2\times 9.8\times 300[/tex]
[tex]a=3 g=3\times 9.8=29.4 m/s^2[/tex]
thus Force is [tex]F=ma[/tex]
[tex]F=400\times 29.4=11,760=11.76 kN[/tex]
If the rocket is to reach a maximum height of 400 m above the surface of the earth, the value of Force will be 11.76kN.
Acceleration:
It is the rate at which velocity changes with time, in terms of both speed and direction.
- The value of F is 11.76 kN.
Let's solve this question:
Given:
Mass of rocket , m=400kg
Force F is applied up to a height of 100 m then it is shut off.
- Final velocity v up to which force is applied is given by:
[tex]v^2-u^2=2as\\\\v^2-0=2as\\\\v=\sqrt{2as}\\\\v=\sqrt{200a}[/tex]
- After this rocket continues to move to a maximum height under the action of gravity.
[tex]v_1^2-v^2=2gs_2\\\\s_2=400-100=300m\\\\0-200a=-2*9.8*300\\\\a=3g=3*9.8=29.4m/s^2\\\\[/tex]
We know, Force is defined as the product of mass and acceleration.
[tex]\text{Force}= m*a\\\\\text{Force}=400*29.4\\\\\text{Force}=11760N=11.76kN[/tex]
Thus, the value of Force will be 11.76kN.
Find more information about Force here:
brainly.com/question/388851
