What do we mean when we say that two light rays striking a screen are in phase with each other? What do we mean when we say that
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1) The angle of 13° with which the shark ascends meets this:
Vertical ascending velocity = 0.85m/s * sin(13°)
Horizontal velocity = 0.85m/s * cos(13°)
2) The length swan by the shark ascending meets this
Vertical ascending length = 50 m
Horizontal length, y:
From that y = 50 * tan(13°)
=> y = 11.54 m.
3) Conclusions:
1) The shark run 50 m vertically upward and 11.54 m horizontally.
2) The length of the path run by the shark may be calculated using Pythagoras' theorem:
hypotenuse^2 = (50m)^2 + (11.54m)^2 = 2633.25m^2
hypotenuse = 51.35m
So, the shark swan 51.35 m to reach the surface.
1) The angle of 13° with which the shark ascends meets this:
Vertical ascending velocity = 0.85m/s * sin(13°)
Horizontal velocity = 0.85m/s * cos(13°)
2) The length swan by the shark ascending meets this
Vertical ascending length = 50 m
Horizontal length, y:
From that y = 50 * tan(13°)
=> y = 11.54 m.
3) Conclusions:
1) The shark run 50 m vertically upward and 11.54 m horizontally.
2) The length of the path run by the shark may be calculated using Pythagoras' theorem:
hypotenuse^2 = (50m)^2 + (11.54m)^2 = 2633.25m^2
hypotenuse = 51.35m
So, the shark swan 51.35 m to reach the surface.
Answer: 75,242.9 m/s
Explanation:
from the question we are given the following parameters
mass of Lion (ML) = 169,169 kg
velocity of lion (VL) = 777,377.7 m/s
mass of Gazelle (Mg) = 31,731.7 kg
velocity of Gazelle (Vg) = 63,863.8 kg
mass of Lion and Gazelle (M) = 200,900.7 kg
velocity of Lion and Gazelle (V) = ?
The first figure below shows the motion of the Lion and Gazelle with their direction.
The second diagram shows the motion of the Lion and Gazelle with their directions rearranged to form a right angle triangle.
from the triangle formed we can get the velocity of the Lion and Gazelle immediately after collision using their momentum and Phytaghoras theorem
momentum = mass x velocity
momentum of the Lion = 169,169 x 77,377.3 = 13,089,840,463.7 kgm/s
momentum of the Gazelle = 31,731.7 x 63,863.8 = 2,026,506,942.46 kgm/s
momentum of the Lion and Gazelle = 200,900.7 x V
now applying Phytaghoras theorem we have
13,089,840,463.7 + 2,026,506,942.46 = 200,900.7 x V
15,116,347,406.16 = 200,900.7 x V
V = 75,242.9 m/s
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
