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

explanation:

to push or pull an object in a certain direction is known as force. a force in moving an object from one place to another.

force depends on the mass of an object. so, more is the mass of an object more will be the force required to move the object.

thus, we can conclude that the use of force to move an object is push or pull.