Consider a power plant is operating With coal combustion by producing temperature sum of 20.75 0F, 20.4K, 289.ec, 30.450F, 500.850 F and 200.15K, while converting the heat content of power plant in useful work with an average of 200.550F, 200K and 300.450C„ then find the heat dissipated in the vicinity and also find the % efficiency of the power plant
A weight of 20 lbs is on an inclined plane making 30 degrees above the horizontal. What component of the weight causes the body to slide along the plane? What is the normal reaction of the plane?
A 200 g ball is shot up a vertical
column of viscous liquid with an
initial velocity of 10 m/s Assuming
the force impeding the ball's motion
because of the viscosity of the liquid
is constant at 4.5 N, calculate how
high the ball goes before coming to
rest.
A 12 kg mass was projected with
an initial kinetic energy of 450J along
the surface of a rough plane inclined
at 30° above the horizontal. If the
mass comes to rest after traveling 3.5m along the plane, calculate the
coefficient of kinetic friction between the mass and the plane.
find the magnitude and the direction of the resultant of the following concurrent and coplanar vectors 80kph, 20° W of N
A force which depends on x as
F(x) = 3x^2 - 4x moves a particle from
x1= 2.0 m to x2= 5.0 m. Calculate the
work done by the force.
A tourist takes a trip in a hot air balloon . The hot air balloon is moving vertically upwards at a constant speed of 44m/s. At the height of 20m she accidentally drops her camera over the side of the balloon's basket. Calculate the displacement covered by the camera after 2 seconds.
Calculate the buoyant force on a cube of metal with an edge of 1.3 cm that is placed in salt water. The density of the metal is 7.86 x 103 kg/m², and the density of the salt water is 1.025 x 103 kg/
Linear motion in an accelerating coordinate system
A box of mass m is placed at the centre of a flat truck bed while the truck is moving at
constant velocity V⃗ O . The truck bed has a length of L and its surface has a sliding friction
coefficient μ. The truck then accelerates with a constant acceleration
⃗
A
O for a few seconds.
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 and accidentally opens up its back
doors. (assume the box as a particle and g = 10 ms-2)
a)
Describe your system in detail and sketch the free-body diagrams (FBD) of the box
when it is sliding and falling off the truck.
b)
Write the equation of motion (EOM) of the box and its general solutions inside and
outside of the truck.
c)
Use relevant octave script provided to solve and plot the velocity and position of the
box as a function of time.
d)
Describe in detail the motion of the box based on the plots in part c)
Sinusoidal waves are characterized by the upward and downward movement of particles. In the same way, there are may be times when you're up, and moments when you feel you're falling. What important is that you continue to move on and learn from these experiences. Each particle in a wave way follows the motion of its neighboring particle. What about you? Are you good follower? Explain through citing actual situations where you considered yourself a good follower.