Answer:
length of the ladder is 13.47 feet
base of wall to latter distance 6.10 feet
angle between ladder and the wall is 26.95°
Explanation:
given data
height h = 12 feet
angle 63°
to find out
length of the ladder ( L) and length of wall to ladder ( A) and angle between ladder and the wall
solution
we consider here angle between base of wall and floor is right angle
we apply here trigonometry rule that is
sin63 = h/L
put here value
L = 12 / sin63
L = 13.47
so length of the ladder is 13.47 feet
and
we can say
tan 63 = h / A
put here value
A = 12 / tan63
A = 6.10
so base of wall to latter distance 6.10 feet
and
we say here
tanθ = 6.10 / 12
θ = 26.95°
so angle between ladder and the wall is 26.95°
Sound is a mechanical wave <span>that results from the back and forth vibration of the particles of the medium through which the sound wave is moving. If a sound wave is moving from left to right through air, then particles of air will be displaced both rightward and leftward as the energy of the sound wave passes through it. The motion of the particles is parallel (and anti-parallel) to the direction of the energy transport. This is what characterizes sound waves in air as longitudinal waves.</span><span>
</span>
We can do this with the conservation of momentum. The fact it is elastic means no KE is lost so we don't have to worry about the loss due to sound energy etc.
Firstly, let's calculate the momentum of both objects using p=mv:
Object 1:
p = 0.75 x 8.5 = 6.375 kgm/s
Object 2 (we will make this one negative as it is travelling in the opposite direction):
p = 0.65 x -(7.2) = -4.68 kgm/s
Based on this we know that the momentum is going to be in the direction of object one, and will be 6.375-4.68=1.695 kgm/s
Substituting this into p=mv again:
1.695 = (0.75+0.65) x v
Note I assume here the objects stick together, it doesn't specify - it should!
1.695 = 1.4v
v=1.695/1.4 = 1.2 m/s to the right (to 2sf)
Answer:
D.
Explanation:
I think its D. because Tea during a cold workout isnt safe at all. Drinking tea while working out adds weight and you just simply dont need tea when working out.. Hope this helps man :)
Answer:
The angle is 
Explanation:
From the question we are told that
The mass is 
The radius is 
The speed is 
According to the law of energy conservation
The potential energy of the mass at the top is equal to the kinetic energy at the bottom i.e

=> 
Here h is the vertical distance traveled by the mass which is also mathematically represented as

So
![\theta = sin ^{-1} [ \frac{1}{2* g* r } * v^2]](https://tex.z-dn.net/?f=%5Ctheta%20%20%20%3D%20sin%20%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%7D%7B2%2A%20g%2A%20r%20%7D%20%2A%20%20v%5E2%5D)
substituting values
![\theta = sin ^{-1} [ \frac{1}{2* 9.8* 1.1 } * (3.57)^2]](https://tex.z-dn.net/?f=%5Ctheta%20%20%20%3D%20sin%20%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%7D%7B2%2A%209.8%2A%201.1%20%7D%20%2A%20%20%283.57%29%5E2%5D)
