Answer:

The formula for escape velocity where:
G - Gravitational constant (9.81 etc.)
M - the mass of the object the escape should be made from
r - distance to the centre of that mass
Answer:
a) a = 34.375 m / s², b) v_f = 550 m / s
Explanation:
This problem is the launch of projectiles, they tell us to ignore the effect of the friction force.
a) Let's start with the final part of the movement, which is carried out from t= 16 s with constant speed
v_f =
we substitute the values
v_f =
The initial part of the movement is carried out with acceleration
v_f = v₀ + a t
x₁ = x₀ + v₀ t + ½ a t²
the rocket starts from rest v₀ = 0 with an initial height x₀ = 0
x₁ = ½ a t²
v_f = a t
we substitute the values
x₁ = 1/2 a 16²
x₁ = 128 a
v_f = 16 a
let's write our system of equations
v_f =
x₁ = 128 a
v_f = 16 a
we substitute in the first equation
16 a =
16 4 a = 6600 - 128 a
a (64 + 128) = 6600
a = 6600/192
a = 34.375 m / s²
b) let's find the time to reach this height
x = ½ to t²
t² = 2y / a
t² = 2 5100 / 34.375
t² = 296.72
t = 17.2 s
We can see that for this time the acceleration is zero, so the rocket is in the constant velocity part
v_f = 16 a
v_f = 16 34.375
v_f = 550 m / s
Feelings of jealousy and envy
Answer:
A 1049.75
Explanation:
notice that a Nms is equal to a kg(m^2)/s which is what you get if multiply all three given values.
the formula is angular momentum = (mass)(velo)(radius)
therefore
65(3.8)(4.25) = the answer
= 1049.75
Ignoring air resistance . . .
-- Gravity adds 9.8 m/s to the speed of a falling object every second.
-- After falling for 3 sec, it's falling (3 x 9.8) = 29.4 m/s faster
than it was when it was dropped.
-- It started out with zero speed when it rolled off the top of the building,
so its speed is 29.4 m/s after 3 seconds.
-- Its average speed all the way down is
(1/2) (0 + 29.4) = 14.7 m/s .
-- After traveling for 3 sec at an average speed of 14.7 m/s,
it has traveled
(3 sec) x (14.7 m/s) = 44.1 meters .