Mechanics: design a decision tree to determine if an object is experiencing an unbalanced force, and using newton's laws of moti
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Answer:
The attached diagram explains the system,
Sum of Fy = 0
N=9.81
N - mgCos60 = 0
F= ukN= (0.53)(9.81) =
F= 5.12 N
So
F.d= 1/2(mv.v) - mgdsin60
-5.12*0.5 = 0.5*v^2 - 2*(9.81)*(0.5*sin60)
(a) v = 2.436 m/s
For deflection
-F.x = 1/2(mv.v) - mgxsin60 + 1/2 (k*x*x)
by solving for with values of v, m, g, F, k
800x^2 - 11.87 x - 5.938 = 0
by solving the quadratic equation
x = 0.093, -0.079
(b) x = 0.093 m
correct Answer is 0.093m
Explanation:
The frequency of the electromagnetic wave is 9.55 × 1014 Hz and it is classified as ultraviolet.
<h3>What is meant by electromagnetic waves?</h3>Electromagnetic waves are forms of energy that are invisible and travel throughout the universe. However, some of the effects of this energy are visible. The light that we see is a component of the electromagnetic spectrum.
Electromagnetic waves, or EM waves, are produced by vibrations between an electric field and a magnetic field. In other words, electromagnetic waves are made up of oscillating magnetic and electric fields.
<h3>How do you calculate the speed of an electromagnetic wave?</h3>
The wavelength and frequency of any periodic wave are used to calculate its speed. v = λf.
In free space, the speed of any electromagnetic wave is equal to the speed of light, c = 3 108 m/s.
The frequency of the electromagnetic wave is 9.55 × 1014 Hz and it is classified as ultraviolet.
To learn more about electromagnetic wave refer to:
#SPJ4
Answer:
the two ice skater have the same momentum but the are in different directions.
Paula will have a greater speed than Ricardo after the push-off.
Explanation:
Given that:
Two ice skaters, Paula and Ricardo, initially at rest, push off from each other. Ricardo weighs more than Paula.
A. Which skater, if either, has the greater momentum after the push-off? Explain.
The law of conservation of can be applied here in order to determine the skater that possess a greater momentum after the push -off
The law of conservation of momentum states that the total momentum of two or more objects acting upon one another will not change, provided there are no external forces acting on them.
So if two objects in motion collide, their total momentum before the collision will be the same as the total momentum after the collision.
Momentum is the product of mass and velocity.
SO, from the information given:
Let represent the mass of Paula with and its initial velocity with
Let represent the mass of Ricardo with and its initial velocity with
At rest ;
their velocities will be zero, i.e
=
= 0
The initial momentum for this process can be represented as :
+
= 0
after push off from each other then their final velocity will be and
The we can say their final momentum is:
+
= 0
Using the law of conservation of momentum as states earlier.
Initial momentum = final momentum = 0
+
=
+
Since the initial velocities are stating at rest then ; u = 0
(0) +
(0) =
+
+
= 0
= -
Hence, we can conclude that the two ice skater have the same momentum but the are in different directions.
B. Which skater, if either, has the greater speed after the push-off? Explain.
Given that Ricardo weighs more than Paula
So ;
Then
The magnitude of their momentum which is a product of mass and velocity can now be expressed as:
=
The ratio is
Therefore, Paula will have a greater speed than Ricardo after the push-off.