Mechanics | Relativity Answers

Water is flowing from a garden hose (Fig. below). A child places his thumb
to cover most of the hose outlet, causing a thin jet of high-speed water to
emerge. The pressure in the hose just upstream of his thumb is 400 kPa. If
the hose is held upward, what is the
maximum height that the jet could achieve?

A garden hose attached with a nozzle is used to fill a 10-gal bucket. The
inner diameter of the hose is 2 cm, and it reduces to 0.8 cm at the nozzle
exit.

1. Name three quantities that are conserved and two quantities that
are not conserved during a process.
2. Does the amount of mass entering a control volume have to be
equal to the amount leaving the control volume for an unsteady
flow?
3. What is mechanical energy? How does it differ from thermal
energy? What are the forms of mechanical energy of a fluid
stream?
4. What are the three major assumptions used in the derivation of
Bernoulli equation?
5. Express pressure head, velocity head, and elevation head for a
fluid stream whose pressure is P, velocity is V and elevation is z.

1. Name and briefly describe the four fundamentals types of motion or
deformation of fluid particles.
2. Explain the relationship between vorticity and rotationality.

The v–s graph describing the motion
of a motorcycle is shown in Fig. 2
Construct the a–s graph of the motion
and determine the time needed for
the motorcycle to reach the position s
= 400 m.

A metallic particle is subjected to the
influence of a magnetic field as it
travels downward through a fluid that
extends from plate A to plate B as
shown in Fig. 3. If the particle is
released from rest at the midpoint C,
s = 100 mm, and the acceleration is a
= (4s) m>s^2, where s is in meters,
determine the velocity of the particle
when it reaches plate B, s = 200 mm,
and the time it takes to travel from C
to B.

A crate of an unknown mass travels
along a smooth slope as shown in
Figure 1. If at its speed is 20 m/s at the
current position and the speed when
it get to the bottom of the slope is
26.7 m/s (x = 0), determine the mass
of the crate (kg).

A sack slides off the ramp, shown in Fig. 3, with a horizontal velocity of 12 m/s. If the height of the ramp is 6 m from the floor, determine the time needed for the sack to strike the floor and the range R where sacks begin to pile

A train travels at a constant speed of 60 mi/h and crosses over a road as shown in Fig. 2. If the automobile A is traveling at 45 mi/h along the road, determine the magnitude and direction of the velocity of the train relative to the automobile.

At the instant shown in Fig. 1, cars A and B are traveling with speeds of 18 m/s and 12 m/s, respectively. Also at this instant, A has a decrease in speed of 2 m/s2, and B has an increase in speed of 3 m/s2. Determine the velocity and acceleration of B with respect to A