Brody, The dog, is sitting at your feet like a good boy. You throw a dog toy away from you at a speed of 34 m/s (assume constant horizontal velocity). Brody runs after the ball at a constant speed of 7 m/s. The toy is designed to make a constant high frequency tone of 950 Hz as it flies through the air. What frequency do you hear the toy make?

1054.53 Hz

Explanation: this is a question under the principle of Doppler effect .

Doppler effect is a mathematical statement that gives the value of the observed frequency by an observer when there is a relative motion between the observer and the source of sound.

This is mathematically given as

fo = (v + vo)/(v - vs) × f

Where fo = observed frequency =?

v = speed of sound in air = 343 m/s

vo = velocity of observer = 0 ( since I am at rest )

vs = velocity of the source of sound ( in this case the dog toy ) = 34m/sthis value is positive because it is moving away from the observer.

f = frequency of sound produced by source = 950 Hz

By substituting the parameters, we have that

fo = (343+0)/(343-34) × 950

fo = (343/ 309) × 950

fo = 1.11 × 950 = 1054.53 Hz

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation:

temp rises, and expansion