How do you do this vector problem?

  • Thread starter Thread starter neutron star
  • Start date Start date
  • Tags Tags
    Vector
AI Thread Summary
To solve the vector problem, the x and y components of each vector must be determined using trigonometric functions. For the 9-m displacement vector at a 35° angle clockwise from the +y direction, the components can be calculated using sine and cosine functions. The 25-m/s velocity vector at a 45° angle counterclockwise from the -x direction also requires similar calculations for its components. Lastly, the 49-lb force vector at a 140° angle counterclockwise from the -y direction needs to be resolved into its x and y components. Drawing diagrams and referencing physics textbooks can aid in visualizing and solving these vector problems effectively.
neutron star
Messages
78
Reaction score
1

Homework Statement


Determine the x and y components of the following three vectors in the xy plane.
(a) A 9-m displacement vector that makes an angle of 35° clockwise from the +y direction.
x: in m
y: in m

(b) A 25-m/s velocity vector that makes an angle of 45° counterclockwise from the -x direction.
x: in m/s
y: in m/s

(c) A 49-lb. force vector that makes an angle of 140° counterclockwise from the -y direction.
x: in lb
y: in lb

Homework Equations


The Attempt at a Solution

 
Physics news on Phys.org
Some things to do:
1. Search through your physics texbook for an example to get the relevant equations.
2. Draw a picture of each problem.
3. Give it a shot--I'm curious where the breakdown is. We can get through this.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top