Any child is pushing a shopping cart at a speed of 1.5 m/s.how long will it take this child to push the cart down the aisle with
1 answer:
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Answer:
a) The angle of refraction is approximately 34.7
b) The angle the light have to be incident to give an angle of refraction of 90° is approximately 53.42°
Explanation:
According to Snell's law, we have;
The refractive index of the glass, n₁ = 1.66
The angle of incident of the light as it moves into water, θ₁ = 27.2°
a) The refractive index of water, n₂ = 1.333
Let θ₂ represent the angle of refraction of the light in water
By plugging in the values of the variables in Snell's Law equation gives;
θ₂ = arcsin(0.5692292265) ≈ 34.7°
The angle of refraction of the light in water, θ₂ ≈ 34.7°
b) When the angle of refraction, θ₂ = 90°, we have;
θ₁ ≈ arcsin(0.803) ≈ 53.42°
The angle of incident, θ₁, that would give an angle of refraction of 90° is θ₁ ≈ 53.42°
1) The coefficient of static friction is 0.980
2) The coefficient of kinetic friction is 0.908
Explanation:
1)
In the first situation, the box is still at rest. There are two forces acting on the box:
- The force of push, F, forward
- The force of static friction,
Since the box is in equilibrium we have
(1)
The value of frictional force changes from zero to a maximum value which is given by:
(2)
where
is the coefficient of static friction
m is the mass of the box
g is the acceleration of gravity
So, if the force F needed to put the box in motion is 48 N, it means that this is also the maximum value of the force of friction. So, we can combine eq.(1) and (2) to find the coefficient of static friction:
where:
F = 48 N
m = 5.0 kg
Substituting,
2)
In this second situation, the object is already in motion, so the equation of motion is:
where
F = 48 N is the force applied forward
is the acceleration of the box
is the force of kinetic friction, where
is the coefficient of kinetic friction
We can therefore rearrange the equation to find the coefficient:
Learn more about friction:
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