Dynamics Problem in two dimensions

Click For Summary
SUMMARY

The discussion centers on calculating the horizontal distance required for an 800g model rocket to hit a target moving horizontally at 15 m/s, while the rocket ascends to a height of 30 m. The rocket engine provides a constant thrust of 15.0 N, and the gravitational force acting on the rocket must be considered. The net force acting on the rocket is determined by subtracting the gravitational force (7.84 N) from the thrust, resulting in an upward acceleration of 18.8 m/s². This analysis leads to the conclusion that understanding gravitational forces is crucial for solving the problem accurately.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic kinematics equations for projectile motion
  • Understanding of gravitational force calculations
  • Concept of net force and acceleration
NEXT STEPS
  • Calculate the net force acting on the rocket using F_net = F_thrust - F_gravity
  • Determine the time taken for the rocket to reach 30 m using kinematic equations
  • Calculate the horizontal distance using the target's speed and the time calculated
  • Explore advanced projectile motion simulations to visualize the problem
USEFUL FOR

Students and educators in physics, hobbyists involved in model rocketry, and anyone interested in solving dynamics problems in two dimensions.

mst3kjunkie
Messages
16
Reaction score
0
5. As a science fair project, you want to launch an 800g model rocket straight up and hit a horizontally moving targer as it passes 30 m above the launch point. the rockey engine provides a constant thrust of 15.0N. The target is approaching at a speed of 15m/s. At what horizontal distance between the target and the rocket should you launch

known:
change in x of rocket=change in y of target=0 m
change in y of rocket=30m
mass of rocket=800g=.800kg
Force applied to rocket in x direction=0 N
Force applied to rocket in y direction=15.0 N
velocity of target in x direction=15 m/s

F1y=15.0 N=ma1y
15.0=(.800)a1y
18.8=a1y

This is about as far as I have gotten. How do I make my way to finding the horizontal distance?
 
Physics news on Phys.org
well, first..the rocket provides a constant thrust of 15N..you forgot to include gravitational forces. (0.8x9.8)..then find the net force, with that, youll find the acceleration of the rocket, then you can find the time it takes to travel 30m...and ill let you do it from there:)
 
thank you so much. I completely forgot to take gravitational force into account. This solves my problem.
 

Similar threads

A rocket on a cart is fired to go through a hoop
  • · Replies 1 ·
Replies
1
Views
2K
Dynamics in two dimensions problem
  • · Replies 6 ·
Replies
6
Views
2K
Direction of a spring's force in more than one dimension
  • · Replies 6 ·
Replies
6
Views
2K
Motion in two dimension problem. Range and Height.
  • · Replies 2 ·
Replies
2
Views
2K
How do I calculate work in two-dimensions and find the final velocity and time?
  • · Replies 8 ·
Replies
8
Views
2K
Impulse and momentum in two dimensions - Finding velocity
  • · Replies 6 ·
Replies
6
Views
2K
Impulse and momentum in two dimensions - velocity question
  • · Replies 15 ·
Replies
15
Views
3K
GRADE 12: Energy, Springs and maybe momentum/collisions?
  • · Replies 5 ·
Replies
5
Views
2K
Missle Defense System (Projectile Motion)
  • · Replies 1 ·
Replies
1
Views
2K
How do I calculate the height this water rocket will rise?
  • · Replies 3 ·
Replies
3
Views
4K