The momentum of the red cart before the collision is 0.2 kgm/s and the blue cart is 0.
The momentum of the red cart after the collision is 0.05 kgm/s and the blue cart is 0.15 kgm/s.
The change in momentum of the system of the carts is 0.
<h3>
Initial momentum of the carts before collision</h3>
The momentum of the carts before the collision is calculated as follows;
P(red) = 0.5 kg x 0.4 m/s = 0.2 kgm/s
P(blue) = 1.5 x 0 = 0
<h3>Momentum of the carts after collision</h3>
The momentum of the carts after the collision is calculated as follows;
P(red) = 0.5 x 0.1 = 0.05 kgm/s
P(blue) = 1.5 0.1 = 0.15 kgm/s
<h3>Change in momentum of the carts</h3>

ΔP = (0.05 + 0.15) - (0.2)
ΔP = 0
Learn more about momentum here: brainly.com/question/7538238
Hi there!
The period is given by:

T = Period (sec)
w = angular frequency (rad/sec)
According to the equation for SHM in terms of position:
y(t) = Asin(ωt + φ)
A = Amplitude (m)
ω = angular frequency (rad/sec)
t = time (sec)
φ = phase angle
In this instance, the angular frequency is given as 18π.
Plug this value into the equation for T:

Answer:
Explanation:
A positive v time graph is a velocity graph. If the position/time is negative, then the slope of the line is negative. If the line is indicative of the velocity, which it is, that means that the velocity is negative (decreasing). The first choice is the one you want.
F_x=Fcos(a)
F_y=Fsin(a)
1.F_x=166cos(55)
F_y=166sin(55) (55 because of the supplementary angle)
2.F_x= 575cos(-75) (complimentary angle/negative because its under x-axis)
F_y= 575sin(-75)
The values you get can be negative or positive depending on which side the vector is pointing at.