<em>A</em> - <em>B</em> = (10<em>i</em> - 2<em>j</em> - 4<em>k</em>) - (<em>i</em> + 7<em>j</em> - <em>k</em>)
<em>A</em> - <em>B</em> = 9<em>i</em> - 9<em>j</em> - 3<em>k</em>
|<em>A</em> - <em>B</em>| = √(9² + (-9)² + (-3)²) = √189 = 3√19
Answer:
Explanation:
The vehicle is experiencing a large force created by the concrete wall.
Equation
vf^2 = vi^2 + 2*a * d
Givens
vf = 0 The car eventually does stop.
vi = 72 km/hr * [ 1000 m/ km] * [1 hour / 3600 seconds]
vi = 20 meters / second
a = ?
m = 850 kg
Solution
vf^2 = vi^2 + 2a*d
0 = 20 m/s + 2* 2 *a
-20 m/s = 4a
-20/4 = a
a = - 5 m/s^2 The minus sign tells you the vehicle is slowing down. It sure should be.
Force = m * a
F = - 850 * (-5)
F = - 4250 N
The car provides a 4250 N force on it going east to west and a 4250 N force going from west to east provided by the concrete wall.
Complete part of Question: What is Jane's (and the vine's) angular speed just before she grabs Tarzan
Answer:
Jane's (and the vine's) angular speed just before she grabs Tarzan, w = 1.267 rad/s
Explanation:
According to the law of energy conservation:
Total change in kinetic energy = Total change in potential energy
Mass of Jane = 60 kg
Mass of the vine = 32 kg
Mass of Tarzan = 72 kg
Height of Tarzan = 5.50 m
Length of the vine = 8.50 m
Jane's change in gravitational potential energy,

Vine's gravitational potential energy,

Vine's Kinetic energy :

Jane's Kinetic energy:


3234 + 862.4 = 2167.5w² + 385.33w²
4096.4 = 2552.83w²
w² = 4096.4/2552.83
w² = 1.605
w = √1.605
w = 1.267 rad/s
Answer:
1234285.7 m or 1234.3 km
Explanation:
Let the distance be
, the time taken by P waves be
and the time taken by the S waves be
.


For the P waves,


For the S waves,


Equating the
,

Divide both sides of the equation by 500 to reduce the terms.

Since S waves arrive 2 minutes (= 120 seconds) after P waves,


Substitute this in the equation of the distance.




Substitute this in the equation for
involving
.


