The speed of the object at its' final location is; 38 m/s
For the first force, we are given;
Force; F₁ = 220i + 320j - 120k
Initial Position; r₁ = 13i - 19j - 3k
Final Position; r₂ = 18i - 11j - 8k
Thus; Displacement; Δr = r₂ - r₁
Δr = 18i - 11j - 8k - (13i - 19j - 3k)
Δr = 5i + 8j - 5k
From work energy theorem, we know that;
F₁ * Δr = ¹/₂m(v₂² - v₁²)
We are given v₁ = 2.5 m/s and m = 60 kg. Thus;
(220i + 320j - 120k) × (5i + 8j - 5k) = ¹/₂ * 60(v₂² - 3.5²)
4260/30 = v₂² - 3.5²
1420 = v₂² - 12.25
Solving gives v₂ = 37.85 m/s
For the second force, we are given;
Force; F₂ = 150i + 230j - 220k
Initial Position; r₁ = 18i - 11j - 8k
Final Position; r₂ = 22i - 17j - 3k
Thus; Displacement; Δr = r₂ - r₁
Δr = 22i - 17j - 3k - (18i - 11j - 8k)
Δr = 4i - 6j + 5k
From work energy theorem, we know that;
F₂ * Δr = ¹/₂m(v₂² - v₁²)
Now, v₁ = 37.85 m/s and m = 60 kg. Thus;
(150i + 230j + 220k) × (4i - 6j + 5k) = ¹/₂ * 60(v₂² - 37.85²)
320/30 = v₂² - 37.85²
10.67 = v₂² - 1,432.6225
Solving gives v₂ = 38 m/s
Read more about Work Energy theorem at; brainly.com/question/14468674
MAAAAA
wave B
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wave A + B
PAMA
A. Destructive interference
B. Diffraction subtraction
C. Diffraction gradient
D. Constructive interference
Answer: Constructive interference
Explanation: Just took the test
The diagram shows destructive interference between two waves, resulting in a smaller amplitude wave.
The type of wave interaction shown in the diagram is destructive interference.
In destructive interference, two waves combine and create a new wave with a smaller amplitude. This occurs when the crests of one wave align with the troughs of another wave, causing cancellation.
In the diagram, wave A and wave B are out of phase, meaning their crests and troughs do not align. When they combine, the resulting wave has a smaller amplitude than either individual wave, indicating destructive interference.
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Answer: Momentum is mass times velocity (P = m*v)
Explanation: Momentum is defined as the "amount of movement"
The momentum of an object moving can be calculated as:
P = m*v
where P is momentum
m is the mass of the object
v is the velocity of the object.
Notice that momentum has a given direction (the same of the velocity) so it is a vector.
Answer:
Explanation:
First of all, we can find the work done as follows:
where P is the power and t is the time taken. In this problem, and , so the work done is
The work done is equal to the force applied F times the displacement d:
since we know d=20.0 meters, we can re-arrange the equation to find the force exerted:
Answer:
C) 1.4 × 105 newtons
Explanation:
Correct answer on plato/edmentum
Answer:
Explanation:
If the magnet is dropped from this position, then the direction of the induced current in the coil would be anticlockwise. Lenz's law allows us to predict the direction of the induced current in a circuit. It is also known as the Right hand rule. It states that the current that is being induced in a particular circuit is as a result of the change in the magnetic field in order to oppose the change in the magnetic flux and also to apply an mechanical force that is opposing the motion. Because of this, the current is pointed to the direction of the pole, to oppose this the induced current should be directed anticlockwise.