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3 years ago

8

Clarence is taking his dog for a walk around town. After wandering around for an hour, his mother calls him, telling him dinner

will be served soon, and asks him how far away he is. What value would be more helpful for him to give, his distance or his displacement?

1 answer:

Anvisha [2.4K]3 years ago

8 0

Answer:

he can subtract the distance and then divide by the time it takes him

Explanation:

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A motorcycle, which has an initial linear speed of 9.8 m/s, decelerates to a speed of 2.2 m/s in 3.4 s. Each wheel has a radius

miss Akunina [59]

Answer:

The angular acceleration and angular displacement is $-2.24\ m/s^2$ and 31.34 rad .

Explanation:

Given :

Initial linear speed , u = 9.8 m/s .

Final speed , v = 2.2 m/s .

Time taken , t = 3.4 s .

Radius of wheel , r = 0.65 m .

So , decelerates of wheel is given by :

$v-u=at\\2.2-9.8=a\times 3.4\\a=-2.24\ m/s^2$

Therefore , angular velocity is given by :

$\omega=\dfrac{a}{r}\\\\\omega=\dfrac{-2.24}{0.65}\\\\\omega =-3.45\ rad/s^2$

Now , linear displacement is :

$s=ut+\dfrac{at^2}{2}\\\\s=9.8\times 3.4+\dfrac{-2.24\times 3.4^2}{2}\\\\s=20.37\ m$

Therefore , angular displacement is :

$d=\dfrac{s}{r}\\\\d=\dfrac{20.37}{0.65}\\\\d=31.34\ rad$

Hence , this is the required solution .

4 0

3 years ago

Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is increasing at a rate of 2 f

Anton [14]

Answer:

$a)\ V=3053.628059 \ ft^3$

$b)\ V'=1017.876\ ft^3/day$

Explanation:

<u>Rate of Change</u>

The volume of a cone of radius r and height h is given by

$\displaystyle V=\frac{\pi r^2h}{3}$

The height is said to be 1/2 of the radius, thus

$\displaystyle V=\frac{\pi r^2\cdot r}{2\cdot 3}$

$\displaystyle V=\frac{\pi r^3}{6}$

a) Knowing r=18 feet, the volume is

$\displaystyle V=\frac{\pi 18^3}{6}$

$V=3053.628059 \ ft^3$

b) The rate of change of the volume is computed by taking the derivative of both sides respect to the time

$\displaystyle V'=3\frac{\pi r^2}{6}r'$

$\displaystyle V'=\frac{\pi r^2}{2}r'$

Where r' is the given rate of change of the radius: 2 feet/day.

Now we compute

$\displaystyle V'=\frac{\pi 18^2}{2}\cdot 2=1017.876$

$\boxed{V'=1017.876\ ft^3/day}$

6 0

4 years ago

Which value would complete the last cell?

GREYUIT [131]

Answer:

4.0

Explanation:

The following data were obtained from the question:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

Force is simply defined as the product of mass and acceleration. Mathematically, it is expressed as

Force (F) = mass (m) x acceleration (a)

F = ma

With the above formula, we can obtain th acceleration of the body as follow:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

F = ma

20 = 5 x a

Divide both side by 5

a = 20/5

a = 4 m/s²

Therefore, the value that will complete the last cell in the question above is 4.

5 0

3 years ago

Weightlessness is experienced by an astronaut in space. This means that the astronaut's muscles have to be stronger to move his

just olya [345]

The answer is false. The speed of the astronaut cancels out the force of gravity, causing a 'stationary freefall'. While under these effects, it is not required for an astronaut to 'strengthen' his body.

4 0

3 years ago

Read 2 more answers

A active-satellite, one that sends out electromagnetic waves, can be the energy down toward the ocean surface and determine how

Anna71 [15]

Answer: This is called backscatter which refers to the ability of big waves to reflect the energy in order to give back the signal .

Explanation:

What is meant by backscatter?

Backscatter is the process where by the waves or signal is reflected back to the original direction and get scattered in all directions.

Backscatter allows us to receive signal and be able to view all the channels that are connected through the satellite.

4 0

3 years ago