The speed of the particle is proportional to = √t
Work = the change in kinetic energy = 1/2 mv2
If work is proportional to time
W = t
1/2 mv2 = t
v2 = t
v (speed) = √t
Speed is the time rate at which an object is shifting along a path, even as speed is the fee and route of an item's movement. Positioned every other manner, speed is a scalar value, even as pace is a vector.
Velocity (or price, r) is a scalar quantity that measures the gap traveled (d) over the alternate in time (Δt), represented via the equation r = d/Δt.
The Italian physicist Galileo Galilei is credited with being the first to measure speed by considering the gap blanketed and the time it takes. Galileo described pace as the gap covered in line with unit of time.
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Answer:
6.18 m/s
Explanation:
Given that a ferry approaches shore, moving north with a speed of 6.1 m/s relative to the dock. A person on the ferry walks from one side of the ferry to the other, moving east with a speed of 1.0 m/s relative to the ferry Part. What is the speed of the person relative to the dock?
The speed of the person can be calculated by using pythagorean theorem.
Let the speed of the person = S
S^2 = 6.1^2 + 1^2
S^2 = 38.21
S = sqrt ( 38.21)
S = 6.18 m/s
Therefore, the speed of the person relative to the dock is 6.18 m/s
(a) The final angular velocity of the flywheel after 3 complete revolutions is 4.96 rad/s.
(b) The time taken for the flywheel to make 3 complete revolutions is 5.93 s.
<h3>
Final angular velocity</h3>
The final angular velocity of the flywheel after 3 complete revolutions is determined by applying third kinematic equation as shown below;
θ = 2π (rad/rev) x (3 rev) = 18.85 rad
ωf² = ωi² + 2αθ
ωf² = (1.4)² + 2(0.6)(18.85)
ωf² = 24.58
ωf = √24.58
ωf = 4.96 rad/s
<h3>Time of motion</h3>
The time taken for the flywheel to make 3 complete revolutions is calculated as follows;
ωf = ωi + αt
t = (ωf - ωi)/α
t = (4.96 - 1.4)/0.6
t = 5.93 s
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