Answer:
Therefore the amplitude of the resultant wave is 
Explanation:
The equation of wave:
y=A sin (kx-ωt)
For wave 1:
y₁=A sin (kx-ωt) = 
sin (kx-ωt)
For wave 2:
y₂=A sin (kx-ωt+Φ) = sin (kx-ωt+Φ)
Where A= amplitude=
The angular frequency 
, 
= wave length.
t= time
T= Time period
= phase difference = 
The resultant wave will be
y = y₁ + y₂
= sin (kx-ωt) + sin (kx-ωt+Φ)
{sin (kx-ωt) + sin (kx-ωt+Φ)}
Therefore the amplitude of the resultant wave is
Answer:
185 N
Explanation:
Sum of forces in the x direction:
Fₓ = -(80 N cos 75°) + (120 N cos 60°)
Fₓ = 39.3 N
Sum of forces in the y direction:
Fᵧ = (80 N sin 75°) + (120 N sin 60°)
Fᵧ = 181.2 N
The magnitude of the net force is:
F = √(Fₓ² + Fᵧ²)
F = √((39.3 N)² + (181.2 N)²)
F = 185 N
Many of today’s mathematicians use computers to test cases that are either too time-consuming or involve too many variables to test manually, allowing the exploration of theoretical issues that were impossible to test a generation ago.
Answer: Option A
<u>Explanation:</u>
One of the most useful inventions in scientific world are the computers. We can use different programming language and create programs in them. These programs help other to solve difficult problems. Most of the theoretical problems in science can be solved by using these programming features in computer within a specific time limit.
Otherwise, earlier mathematician used to take months to solve a complex mathematical problem manually, but now with the inclusion of computers, the mathematician can solve the problems containing more number of variables or other theoretical issues.
Using Newtons Second Law:
F = m×a
F = (0.25 kg)(-2 m/s²)
F = -0.5 N
<h2>The correct option is C</h2>
