Answer:
259.62521 seconds
Explanation:
= Mass of astronaut = 87 kg
= Mass of wrench = 0.57 kg
= Velocity of astronaut
= Velocity of wrench = 22.4 m/s
Here, the linear momentum is conserved
Time = Distance / Speed
The time taken to reach the ship is 259.62521 seconds
Answer: Vertical height of rocket is 824.24ft
Explanation: see attachment.
Opp/ Adj = Tan 70°
h/ 300 = Tan 70°
h= 300tan 70°
h = 824.24ft
Answer:
(i) -556 rad/s²
(ii) 17900 revolutions
(iii) 11250 meters
(iv) -55.6 m/s²
(v) 18 seconds
Explanation:
(i) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
α = (10000 − 15000) / 9
α ≈ -556 rad/s²
(ii) Constant acceleration equation:
θ = θ₀ + ω₀ t + ½ αt²
θ = 0 + (15000) (9) + ½ (-556) (9)²
θ = 112500 radians
θ ≈ 17900 revolutions
(iii) Linear displacement equals radius times angular displacement:
s = rθ
s = (0.100 m) (112500 radians)
s = 11250 meters
(iv) Linear acceleration equals radius times angular acceleration:
a = rα
a = (0.100 m) (-556 rad/s²)
a = -55.6 m/s²
(v) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
-556 = (0 − 15000) / t
t = 27
t − 9 = 18 seconds
Answer:
T=189.15 N
Explanation:
As we know that for downward motion
F acting = F (weight) - Tension T
m a = mg - T
⇒ T = m (g - a)
T = 29.1 kg ( 9.8 m/s² - 3.3 m/s²)
T=189.15 N
