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A container of value 1.0uF is charged at 50 volts. What is the value of the induction coil connected to both ends of the coil holder when the maximum current in the coil is 0.5 amperes?
A car of mass 9500kg is moving up a cliff from rest with a velocity of v= (3t²+2t)i +5tj m/s for 1 minute, if the slope of the cliff is 1, what distance was covered by the car in 1 minute.
A uniform ladder 13ft. long and weighing 40 lbs leans against a smooth vertical wall at a point 12ft. a rough floor. Calculate the reacting forces at the floor and the wall. solve by the component and the polygon method
A falling body has an initial velocity of 200cm/seconds.How far will it drop before its velocity becomes 10000 cm/seconds.
Motion of a planet of mass mp in our solar system is an example of motions under the action of
central force F
⃗ c due to the sun of mass Ms.
a)
Is F
⃗ c
a conservative force? Explain your answer.
b)
It is well known that the planet is moving about the sun in a same fixed orbit located on a
fixed orbital plane. Name two (2) physical principles that dictate why the planet moves the
way it does. Explain your answers.
c)
The orbit of the planet has an eccentricity ϵ = 0.047 and semi-major axis a = 19.18 AU. Use
the octave script provided to plot the orbit. Mark the perihelion and the aphelion centre of
the orbit on the plot.
1.
A small box of mass m is located at the middle point of the front end of a flat truck bed while the
truck is stopped at a traffic light. The truck bed has a length L = 2.2 m , a height H = 1.2 m off
the the road surface and its surface has a sliding friction coefficient μ = 0.05. The truck then
accelerates with a constant acceleration AO = 1.1ms
−2
for a few seconds the traffic light turns
green. Assume the origin O’ of the moving coordinate system coincides with the centre of the
box and it is aligned perfectly vertically with the origin O of the static coordinate system on the
road at the exact instant when the truck starts to accelerate. (assume the box as a particle and g =
10 ms-2)
a)
Assume that both the x-axis and x’-axis for both coordinate systems are parallel to the
length of the truck bed and the motion is observed by a non-inertial observer (NIO) in the
truck and by an inertial observer (IO) on the roadside.
i)
Sketch the free-body diagrams (FBDs) of the box when it starts sliding according to
both the NIO and the IO.
ii)
Write the equations of motion (EOMs) of the box and their general solutions.
b)
Use the octave script provided to solve and plot the velocity and position of the box as a
function of time.
i)
Describe the motion of the box according to the NIO and the IO.
ii)
What are the accelerations of the box according to the two observers?
iii)
Determine the velocities of the box when it hit the back door.
iv)
According to the IO what is the position of the box when it hits the back door?
Motion of a planet of mass mp in our solar system is an example of motions under the action of
central force ⃗F
c due to the sun of mass Ms.
a) Is ⃗Fc a conservative force? Explain your answer.
b) It is well known that the planet is moving about the sun in a same fixed orbit located on a
fixed orbital plane. Name two (2) physical principles that dictate why the planet moves the
way it does. Explain your answers.
c) The orbit of the planet has an eccentricity ϵ = 0.047 and semi-major axis a = 19.18 AU. Use
the octave script provided to plot the orbit. Mark the perihelion and the aphelion centre of
the orbit on the plot.
A plumber uses a blowtorch to melt a 0.5kg bar of soft solder. The latent heat of fusion is 45 000 j/kg
An object has a rectangular shape with a surface area of 40m2 and 0.1m thick. What is the maximum mass of a polar bear can sit on the floe before sinking? (density of ice is 900kg/m3 and density of seawater is 1025kg/m3)
Determine the angular momentum of a 72-gg particle about the origin of coordinates when the particle is at xxx = 5.0 mm , yyy = -5.8 mm , and it has velocity υ=(3.1i^−8.2k^)m/sυ=(3.1i^−8.2k^)m/s.Find the xx-component.
