3 trillion= 3X10^<span>12
5 thousanths= 5X10^-3
730000000000000= 7.3X10^14
0.000000000082= 8.2X10^-11</span>
Answer:
C
Explanation:
Use conservation of momentum
Momentum before collision = mv = 50 (4) = 200 kg-m/s
AFTER collision
30 * 3 + Blue momentum = 200
blue momentum = 110 kg-m/s
C.
because centripetal means that force only acts in the center of body in motion
Answer:
a. V3 = 19.36m/s
b. β3 = -18.8°
Explanation:
Our given data is:
mt = 6.4kg; Vo = [10.2*cos(35°), 10.2*sin(35°)] m/s
m1 = 1.4kg; V1 = [-3.7, 0] m/s
m2 = 1.8kg; V2 = [0, 11.1] m/s
By inspection:
m3 = 3.2kg V3 = [ V3x, V3y]
At the point where the ball explodes, there's only x-component of the velocity, so:
Pix = Pfx and Piy = Pfy
On x-axis:
mt * Vo*cos(35°) = m1 * V1x + m3 * V3x
Solving for V3x:
V3x = 18.33 m/s
On y-axis:
0 = m2 * V2y + m3 * V3y
Solving for V3y:
V3y = -6.24 m/s
Therefore, the magnitude is:
![V3 = \sqrt{V3x^2 + V3y^2} = 19.36m/s](https://tex.z-dn.net/?f=V3%20%3D%20%5Csqrt%7BV3x%5E2%20%2B%20V3y%5E2%7D%20%3D%2019.36m%2Fs)
The angle is:
![\beta 3 = atan(\frac{V3y}{V3x}) = -18.8\°](https://tex.z-dn.net/?f=%5Cbeta%203%20%3D%20atan%28%5Cfrac%7BV3y%7D%7BV3x%7D%29%20%3D%20-18.8%5C%C2%B0)