How much net force must Mrs. McD’s 30,000 kg jet plane develop to achieve an acceleration of 1.5 m/s2?

The natural resistance of any object to change its speed is called _____.

Kay [80]

Answer: Inertia

Explanation: Objects to stay in motion or at rest unless there is an external unbalanced force aced upon the object.

3 0

4 years ago

The human ear canal is about 2.9 cm long and can be regarded as a tube open at one end and closed at the eardrum. What is the fu

solniwko [45]

The frequency of the human ear canal is 2.92 kHz.

Explanation:

As the ear canal is like a tube with open at one end, the wavelength of sound passing through this tube will propagate 4 times its length of the tube. So wavelength of the sound wave will be equal to four times the length of the tube. Then the frequency can be easily determined by finding the ratio of velocity of sound to wavelength. As the velocity of sound is given as 339 m/s, then the wavelength of the sound wave propagating through the ear canal is

Wavelength=4*Length of the ear canal

As length of the ear canal is given as 2.9 cm, it should be converted into meter as follows:

$wavelength = 4*2.9*10^{-2} =0.116$

Then the frequency is determined as

f=c/λ=339/0.116=2922 Hz=2.92 kHz.

So, the frequency of the human ear canal is 2.92 kHz.

4 0

3 years ago

In a carnival game, the player throws a ball at a haystack. For a typical throw, the ball leaves the hay with a speed exactly on

8_murik_8 [283]

Answer:

Ve(m) = sqrt (19.2/m)

Ve(0.35) = 7.407 m/s

Explanation:

Given:

- The ball has a mass = m

- The entry speed of the ball is Vi = Ve

- The final speed of the ball Vf = 0.5*Ve

- The constant frictional force on ball due to hay is F = 6 N

- The thickness of hay-stack is s = 1.2 m

- Assume the throw is in horizontal direction and neglect gravity forces

Find:

Derive an expression for the typical entry speed as a function of the inertia of the ball

What is the typical entry speed if the ball has an inertia of a 0.35 kg?

Solution:

- To determine the entry speed as a function of inertia we will use third equation of motion as follows:

Vf^2 = Vi^2 + 2*a*s

Where, a is acceleration of the ball through hay stack. We will use Newton's Law of motion to determine this:

F_net = m*a

The only force acting on the ball in its journey through hay-stack is the frictional force F:

- F = m*a

a = -F/m

- Input all the quantities in the third equation of motion:

(0.5Ve)^2 = Ve^2 - 2*F*s / m

0.75Ve^2 = 2*F*s / m

Ve = sqrt (8*F*s/3*m)

Plug in values:

Ve(m) = sqrt (8*6*1.2/3*m)

Ve(m) = sqrt (19.2/m)

- The entry speed for the inertia of the ball m = 0.35 kg is:

Ve(0.35) = sqrt(19.2/0.35)

Ve(0.35) = 7.407 m/s

8 0

4 years ago

A corvette starts from rest and travels 69.0 meters in 50 s. What is its acceleration?

devlian [24]

Answer:

0.0552 m/s²

Explanation:

Given:

Δx = 69.0 m

v₀ = 0 m/s

t = 50 s

Find: a

Δx = v₀ t + ½ at²

69.0 m = (0 m/s) (50 s) + ½ a (50 s)²

a = 0.0552 m/s²

4 0

3 years ago

Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, are stuck together and move off af

k0ka [10]

The final velocity is half of train car B's initial velocity.

4 0

3 years ago

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