Velocity ratio is also defined as the ratio of a distance through which any part of a machine moves, to that which the driving part moves during the same time. An object has a mechanical advantage if it exerts a force higher than the velocity ratio.
Answer:
The acceleration of the object is
Explanation:
Given:
Initial velocity of object = 200 feet/second
Final velocity of object = 50 feet/second
Time of travel = 5 seconds
To calculate acceleration of the object we will find the rate of change of velocity with respect to time.
So, acceleration is given by:
where represents final velocity, represents initial velocity and is time of travel.
Plugging in values to evaluate acceleration.
The acceleration of the object is (Answer). The negative sign shows the object is slowing down.
Given Information:
Index of refraction of glass = n₂ = 1.42
Angle of reflection = θ₁
Angle of refraction in terms of angle of reflection = θ₂ = 0.5θ₁
Required Information:
Angle of refraction = θ₂ = ?
Answer:
Angle of refraction = θ₂ = 44.76°
Explanation:
We know from the Snell's law that
n₁sinθ₁ = n₂sinθ₂
Where n₁ is index of refraction of air and n₂ is index of refraction of glass, θ₁ is the angle of reflection and θ₂ is the angle of refraction.
Assuming n₁ = 1
1*sinθ₁ = 1.42*sinθ₂
since θ₂ = 0.5θ₁
1*sinθ₁ = 1.42*sin0.5θ₁
1/1.42 = sin0.5θ₁/sinθ₁
sin⁻¹(1/1.42) = sin⁻¹(sin0.5θ₁/sinθ₁)
44.76° = 0.5θ₁
θ₁ = 44.76°/0.5
θ₁ = 89.52°
So the angle of refraction is
θ₂ = 0.5(89.52°)
θ₂ = 44.76°