Question

2D Impulse with Calculus

Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: F_21(t)=Fxe^−(tT)i+F_ysin(2tT)j

Where the parameters have the values:
Fx = -11.6 N
Fy = 72.9 N
T = 24 s
tf = 38.29 s
ti = 0 s

Find the x component of the impulse from 2 on 1 between ti  and tf .
Solve symbolically first, then substitute in the parameters above to get a value for I21x:
I21x =  

Find the y component of the impulse from 2 on 1 between ti  and tf .
Solve symbolically first, then use the same values as above for the parameters to get a value for I21y:
I21y =  

Find the impulse from 1 on 2 between ti  and tf .

I12=  i     +     j

find the velocity of particle 1 at tf . Find the average force from 2 on 1 between ti  and tf .

Find the average force from 1 on 2 between ti  and tf .

F12av=  i     +     j

F21av=  i     +     j
If the mass of particle 1 is 14.1 kg, and its initial velocity is v1i=  (11.0 m/s) i  + (-26.0 m/s) j,

v1f=   i     +     j

If the mass of particle 2 is 9.87 kg, and its initial velocity is v1i=  (-15.7 m/s) i  + (38.6 m/s) j,
find the velocity of particle 2 at tf .

v2f=   i     +     j
All of the following questions refer to the changes between times ti  and tf .

What is the change in momentum of the system consisting of both particles? psys=   i     +     j

What is the change in kinetic energy for particle 1? K1=   

What is the change in kinetic energy for the system consisting of both particles? Ksys=   

What is the change in kinetic energy for particle 2? K2=   

What is the x displacement for particle 1? x1=   

What is the y displacement for particle 1? y1=   

Answer 1

We are given the relation as 24 Bu(0)=-11.61 2π× 38.29'. Fn(t)--1 1.6 xe ( 24ノi+72.9%sin 24 --2.35i -41.13j We have impulse as a) From the above data we have 39.29 -11.6x24 xleTa = 24x (235-116) 222i N.s b) From the above data we have

1,-It 72.9× sin dt 2rtt ー-72.9%_| cos| (24 、 24 -_x(47.49 + 72.9) I, 459.8j 12 ー121 1n -(-2221-459.8j) Ns