In this worksheet, we will practice comparing the speed of an object that is moving faster than the speed of sound in a medium to the speed of the shock wave it produces.

Q1:

A jet flying at an altitude of m
has a speed of Mach 2.00. Determine how long
after the jet is directly vertically above a stationary observer on the ground the observer
will hear a sonic boom from the jet. Use a value of 340 m/s for the speed of sound.

Q2:

A plane is flying at Mach 1.2, and an observer on the ground hears the sonic boom
15 seconds after
the plane is directly overhead.What is the altitude of the plane? Use a Value of
340 m/s for the speed of sound.

Q3:

An airplane is flying at Mach 3.0 at an altitude
of 8.0 km.
Determine how far away from a stationary observer the plane will
be when the observer hears the sonic boom generated by the plane.
Use a value of 306 m/s for the speed of sound.

Q4:

An airplane moves at Mach 1.75 through air in which the speed
of sound is 312 m/s producing a shock wave.

What is the speed of the airplane?

At what angle from the direction of the motion of the airplane does the shock wave propagate?

Q5:

A bullet is fired and moves at a speed of
km/h.
Find the angle of the shock wave from the direction of the
bullet’s motion at which the shock wave produced propagates.
Use a value of 340 m/s for the speed of sound.

Q6:

The leading edge of a shock wave from the front tip of a fighter
jet makes an angle of
with the direction of the jet’s motion.
The jet is flying at a speed of 1,500 km/h.
What is the speed of sound in the region of the jet?

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