Answer:
(a) 104 N
(b) 52 N
Explanation:
Given Data
Angle of inclination of the ramp: 20°
F makes an angle of 30° with the ramp
The component of F parallel to the ramp is Fx = 90 N.
The component of F perpendicular to the ramp is Fy.
(a)
Let the +x-direction be up the incline and the +y-direction by the perpendicular to the surface of the incline.
Resolve F into its x-component from Pythagorean theorem:
Fx=Fcos30°
Solve for F:
F= Fx/cos30°
Substitute for Fx from given data:
Fx=90 N/cos30°
=104 N
(b) Resolve r into its y-component from Pythagorean theorem:
Fy = Fsin 30°
Substitute for F from part (a):
Fy = (104 N) (sin 30°)
= 52 N
Answer:
The rate of change of the area when the bottom of the ladder (denoted by 
) is at 36 ft. from the wall is the following:
Explanation:
The Area of the triangle is given by 
where 
(by using the Pythagoras' Theorem) and is the length of the base of the triangle or the distance between the bottom of the ladder and the wall.
The area is then
The rate of change of the area is given by its time derivative
Product rule
Chain rule
In here we can identify 
, 
and 
.
The result is then
6. B. 4 electrons
7. Carbon is in everything and it's a compound that all organisms need
8. D. 3
9. Nitrogen gas is almost 80% of the atmosphere
10. Diatomic molecules compose 2 atoms
Background research is used to familiarize yourself with the topic or problem you're conducting your experiment on and help you form an educated guess explaining or solving it that will become your hypothesis.
Length of the slope is given as
also the inclination is given as
now the horizontal displacement is let say "x"
now from geometry we can say
now substitute all values in it
<em>so it will displace horizontally by 12.99 m</em>
