Match the correct center and scale factor to each figure.

A stone is tied to a string and whirled at constant speed in a horizontal circle. The speed is then doubled without changing the

Tanya [424]

Answer:

Afterward the magnitude of the acceleration of the stone is four times as great

Explanation:

A stone tied to a string and whirled at a constant speed in a horizontal circle will have a centripetal acceleration given by

$a = \frac{v^{2} }{r}$

Where $a$ is the centripetal acceleration

$v$ is the speed

and $r$ is the radius of the circle

Here, the radius of the circle is the length of the string.

Now, from the question

The speed is then doubled without changing the length of the string,

Let the new speed be $v_{2}$ , that is

$v_{2} = 2v$

and without changing the length of the string means radius $r$ is constant.

To determine the magnitude of the acceleration of the stone afterwards,

Let the new acceleration be $a_{2}$ .

Then we can write that

$a_{2} = \frac{v_{2}^{2} }{r}$

From

$a = \frac{v^{2} }{r}$

$v = \sqrt{ar}$

Recall that

$v_{2} = 2v$

∴ $v_{2} = 2\sqrt{ar}$

Now, we will put the value of $v_{2}$ into

$a_{2} = \frac{v_{2}^{2} }{r}$

Then,

$a_{2} = \frac{(2\sqrt{ar}) ^{2} }{r}$

$a_{2} = \frac{4ar }{r}$

$a_{2} = 4a$

The new magnitude of the acceleration of the stone is four times the initial acceleration.

Hence,

Afterward the magnitude of the acceleration of the stone is four times as great

3 0

3 years ago

Which is the most likely location in the home for mold growth? A) bathroom windows B) living room furniture C) computer keyboard

FinnZ [79.3K]

Answer:

A

Explanation:

3 0

3 years ago

Read 2 more answers

Which type of plate boundary or zone would be most likely to lead to above-ground volcanic activity?

Anna007 [38]

Answer:

Convergent plate boundary

Explanation:

The convergent plate boundary refers to the type of boundary where two plates move towards each other. Due to this type of motion, there forms a subduction zone, where the denser plate subducts below the lighter plate. This zone of subduction is commonly identified by the presence of a deep and narrow V-shaped depression which is commonly known as the oceanic trench.

When the subducting plate enters into the region of the asthenosphere, the rocks melt and mix with the magma. This magma is then pushed upward due to the force exerted by the convection current that forms in the mantle, and further reaches the over-riding plate and eventually give rise to the formation of volcanoes and volcanic/island arcs.

Thus, this type of plate boundary is responsible for the formation of above-ground volcanic activities.

6 0

3 years ago

Help me. Please. Please. I’m so so serious I need this.

BabaBlast [244]

Answer:

what do u need help with

Explanation:

5 0

3 years ago

An object-spring system undergoes simple harmonic motion with an amplitude A. Does the total energy change if the mass is double

sergey [27]

Answer: yes, a change in mass affects the total, kinetic and potential energy.

Explanation: The formula that defines the total energy of a loaded spring in simple harmonic motion is given below as

E = 1/2 kA²

Where E = total energy

k = spring constant = ω²m

A = amplitude

As we can see from the formulae that the total energy is dependent on the spring constant (k) which in turn depends on the mass of the loaded spring.

Hence an increase in the mass ( with a constant amplitude) will cause a change ( increase) in the spring constant which in turn changes ( increases) the total energy of the system.

The kinetic energy is given as

K.E = mv²/2 where k = ω²m

As we can see, a change in mass of the loaded spring has a direct effect on the kinetic energy.

Potential energy is given as

P.E = kx²/2 where k = ω²m

Since the value of k is directly affected by the mass and the potential energy is affected by the spring constant (k) hence the potential energy is dependent on the mass indirectly hence any change in mass affects the potential energy too

5 0

4 years ago