Answer:
a) 19.2 s
b) No
Explanation:
Given:
v₀ = 125 m/s
a = -6.5 m/s²
v = 0 m/s
a) Find: t
v = at + v₀
(0 m/s) = (-6.5 m/s²) t + (125 m/s)
t ≈ 19.2 s
b) Find: Δx
v² = v₀² + 2aΔx
(0 m/s)² = (125 m/s)² + 2 (-6.5 m/s²) Δx
Δx ≈ 1200 m
An aircraft carrier that's 850 meters long won't be long enough.
Answer:
(a) Angular velocity will be 125.6 rad/sec
(b) Linear velocity will be 144.44 m /sec
(c) Centripetal acceleration = 1849.3031 g
Explanation:
We have given diameter d = 2.30 m
So radius r = 
(a) Speed is given as 1200 rev/min
We know that angular velocity is given by 
(b) Linear speed is given by 
(c) Centripetal acceleration is given by 
We know that 
So 
Answer:
13.33 or 13 1/3m/s (meters per second)
Explanation:
In physics, we use the basic units of meters and seconds. So first convert (km) into meters (m) and also hours and minutes into seconds (s). We end up with 120000m and 9000s. Then divide the 120000m by the 9000s and you end up with 13.33 or 13 1/3 m/s.
Answer:
ΔP.E = 6.48 x 10⁸ J
Explanation:
First we need to calculate the acceleration due to gravity on the surface of moon:
g = GM/R²
where,
g = acceleration due to gravity on the surface of moon = ?
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of moon = 7.36 x 10²² kg
R = Radius of Moon = 1740 km = 1.74 x 10⁶ m
Therefore,
g = (6.67 x 10⁻¹¹ N.m²/kg²)(7.36 x 10²² kg)/(1.74 x 10⁶ m)²
g = 2.82 m/s²
now the change in gravitational potential energy of rocket is calculated by:
ΔP.E = mgΔh
where,
ΔP.E = Change in Gravitational Potential Energy = ?
m = mass of rocket = 1090 kg
Δh = altitude = 211 km = 2.11 x 10⁵ m
Therefore,
ΔP.E = (1090 kg)(2.82 m/s²)(2.11 x 10⁵ m)
<u>ΔP.E = 6.48 x 10⁸ J</u>
