Answer:
x -component of dog's velocity = 8.265m/s
y- component of dog's velocity = 1.389m/s
Explanation:
The detailed and step by step calculation is as shown in the attached file.
The formula for gravitational potential energy is Ep= mgh. Lets convert 594 km into m: 594 x 1,000 = 594,000 m. So we do: Ep= (1,800kg)(9.8N/kg)(594,000m) = (17,640N)(594,000) = 10,478,160,000 J.
Π × (16.5^2) × 22.23 = 19013.2878767
just plug in the variables.<span>
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Since the electrons and neutrino are emitted at rigt angles, the nucleus is emitted at opposite side to right angle. So Pe , Pnue and Pnu are the momentum vectors.
Then Pnu^2 = Pe^2 + Pnue^2 => (9.80 âś• 10-23)^2 + (5.70 âś• 10-23)^2
Pnu^2 = 128.53 x 10^-46
Pnu = 1.13 x 10^-22 kg-m/s
The momentum is in quadrant 3 along positive x axis with angle of direction = 180 + arctan (Pnue/Pe) = 180 + 30 (approx) = 210 degrees
Answer:
a) 4 s
b) 36 m/s²
c) 54 m
Explanation:
s = 2t³ – 24t + 6
a) Find t when v = 72 m/s.
v = ds/dt
v = 6t² – 24
72 = 6t² – 24
6t² = 96
t = 4
b) Find a when v = 30 m/s.
a = dv/dt
a = 12t
When v = 30:
30 = 6t² – 24
6t² = 54
t = 3
a = 36
c) Find Δs between t = 1 and t = 4
Δs = (2(4)³ – 24(4) + 6) – (2(1)³ – 24(1) + 6)
Δs = 38 – (-16)
Δs = 54