A student shakes a rope such that 36 complete vibrations are
made in 9.00 seconds. determine the vibrational period of
the rope, along with the corresponding unit.

Answer:

gears - answer

Explanation:

Hope it helps

Answer:

[tex]64\; {\rm m}[/tex], assuming that the rollercoaster is not attached to the track.

Explanation:

Let [tex]r[/tex] denote the radius of the loop. The height of the top of the loop would be [tex]2\, r[/tex].

Let [tex]a[/tex] denote the acceleration of the rollercoaster. At any position in the loop, if the speed of the rollercoaster is [tex]v[/tex], the (centripetal) acceleration of the rollercoaster would be:

[tex]\displaystyle a = \frac{v^{2}}{r}[/tex].

Let [tex]m[/tex] denote the mass of the rollercoaster. The net force on the rollercoaster would then be:

[tex]\displaystyle F_\text{net} = m\, a = \frac{m\, v^{2}}{r}[/tex].

The rollercoaster would stay on the track (and goes around the loop without falling off) only if the normal force [tex]F_\text{normal}[/tex] between the track and the rollercoaster is non-negative. In other words: it is necessary that [tex]F_\text{normal} > 0[/tex] for the rollercoaster to stay on the track.

At the top of the loop, [tex]F_\text{normal}[/tex] and the weight of the rollercoaster [tex]m\, g[/tex] are in the same direction as the centripetal acceleration (downwards towards the center of the loop.) Hence:

[tex]F_\text{net} = F_\text{normal} + m\, g[/tex].

Let [tex]v_\text{top}[/tex] denote the speed of the rollercoaster at the top of the loop.

[tex]\begin{aligned} F_\text{normal} &= F_\text{net} - m\, g \\ &= \frac{m\, v_\text{top}^{2}}{r} - m\, g\end{aligned}[/tex].

If [tex]F_\text{normal} > 0[/tex] at the top of the loop, then:

[tex]\displaystyle \frac{m\, v_\text{top}^{2}}{r} - m\, g > 0[/tex].

[tex]\displaystyle v_{\text{top}}^{2} > g\, r[/tex].

At the same time, by the conservation of energy, the sum of the kinetic energy [tex]\text{KE}[/tex] and gravitational potential energy [tex]\text{GPE}[/tex] of the rollercoaster should stay the same during the entire ride. Assuming that [tex]\text{GPE}\![/tex] is [tex]0[/tex] at the bottom of the loop:

[tex]\begin{aligned}& \text{KE at the bottom}\\ &= \text{KE at the top} + \text{GPE at the top}\end{aligned}[/tex].

Let [tex]v_{0}[/tex] denote the speed of the rollercoaster at the bottom of the loop.

[tex]\begin{aligned}\text{KE at the bottom} = \frac{1}{2}\, m\, {v_{0}}^{2}\end{aligned}[/tex].

The speed of the rollercoaster at the top of the loop [tex]v_\text{top}[/tex] is at least [tex](g/r)[/tex]. Therefore:

[tex]\begin{aligned}& \text{KE at the top}= \frac{1}{2}\, m\, {v_{\text{top}}}^{2} > \frac{1}{2} \, m\, g\, r\end{aligned}[/tex].

Since the height of the loop is [tex]2\, r[/tex], the [tex]\text{GPE}[/tex] of the rollercoaster at the top of the loop would be:

[tex]\text{GPE at the top} = m\, g\, h = 2\, m\, g\, r[/tex].

Thus:

[tex]\begin{aligned} \frac{1}{2}\, m\, {v_{0}}^{2} &= \text{KE at the bottom}\\ &= \text{KE at the top} + \text{GPE at the top} \\ & > \frac{1}{2}\, m\, g\, r + \text{GPE at the top}\\ & = \frac{1}{2}\, m\, g\, r+ 2\, m\, g\, r \\ &= \frac{5}{2}\, m\, g\, r\end{aligned}[/tex].

In other words:

[tex]\displaystyle \frac{1}{2}\, m\, {v_{0}}^{2} > \frac{5}{2}\, m\, g\, r[/tex].

Rearrange and simplify to obtain a bound on [tex]r[/tex]:

[tex]\begin{aligned} r < \frac{(1/2)\, m\, {v_{0}}^{2}}{(5/2)\, m\, g}\end{aligned}[/tex].

[tex]\begin{aligned} r < \frac{{v_{0}}^{2}}{5\, g}\end{aligned}[/tex].

Given that [tex]v_{0} = 40\; {\rm m\cdot s^{-1}[/tex] and [tex]g = 10\; {\rm N \cdot kg^{-1}} = 10\; {\rm m\cdot s^{-2}[/tex]:

[tex]\begin{aligned} r & < \frac{{v_{0}}^{2}}{5\, g} \\ &= \frac{(40\; {\rm m\cdot s^{-1}})^{2}}{5 \times (10\; {\rm m\cdot s^{-2}})} \\ &= 32\; {\rm m}\end{aligned}[/tex].

Hence, the radius of this loop is at most [tex]32\; {\rm m}[/tex], such that the height of the top of this loop is at most [tex]2 \times 32\; {\rm m} = 64\; {\rm m}[/tex].

Answer:

It passes another car that travels southward at 60 km/h. Do both cars have the same speed? Do they have the same velocity? Answer: Both cars have the same speed, but they have opposite velocities because they are moving in opposite directions.

Explanation:

Answer:

See below ~

Explanation:

As the magnitude (absolute numerical value) of both cars are equal, they both have the same speed.

But, as they are travelling in opposite ways, they have different directions. Hence, they have different velocities.

This question involves the concept of kinetic energy.

The student's claim is "right".

The energy possessed by a body, by the virtue of its motion is called kinetic energy. Mathematically it is given by the following formula:

[tex]K.E =\frac{1}{2}mv^2[/tex]

where,

Therefore,

For the paintball:

[tex]K.E = \frac{1}{2}(4\ g)(90\ m/s)^2[/tex]

K.E = 16200 J

For the pellet:

[tex]K.E = \frac{1}{2}(1\ g)(180\ m/s)^2[/tex]

K.E = 16200 J

Hence, both paintball and pellet will have same kinetic energy. The student is right.

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Answer:

Velocity towards east = 20m/s

Distance in 2 min(120 sec) = 20 x 120= 2400m = 2km

Velocity towards west = 15m/s

Distance in 2 min(120 sec) = 15 x 120 = 1800m = 1.8km

Separation= 2+1.8 = 3.8km

Explanation:

Hope it helps you:))))))

have a good day

Answer:

by obtaining the total mass of the dimes present:

d = 27.22 g / dozen       the density of dimes

M = n * d = 5 dozen * 27.22 g / dozen = 126.1 g

Answer: young's modulus

Explanation: A very rigid material—one that stretches or compresses only slightly under large forces—has a large value of young's modulus .

F = G M.m/r²

F = force, N

G = gravitational constant,  6.67 x 10⁻¹¹ Nm²/kg²

m,M = mass of object,  kg

r = distance, m

F = 6.67 x 10⁻¹¹ x 69.3 x 52/1.2²

F = 1.669 x 10⁻⁷

The source of nutrition that Andrew should consume prior to the match to get the boost of energy he desires is carbohydrate.

Nutrition refers to the organic process by which an organism assimilates food and uses it for growth and maintenance.

There are 6 major classes of nutrients and they are as follows:

Among these classes of nutrients, carbohydrates provide the fastest source of energy in the body and hence, can be recommended for an athlete like Andrew who is preparing for a weight lifting endeavor.

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Answer:

i would say putting effort into something

Explanation:

Answer:

put many effort into one thing or many

Answer:

A) P = W / t = 6000 / 60 = 100 J/s == 100 watts

B) P = I V = .05 * 240 = 12 watts

C)  Bulb B) uses much less power

Answer:

Sorry if im late

The answer is Electric field (D)

Explanation:

The electric field is thought of as the force per unit positive charge that can be exerted before the field is disturbed by the presence of a test charge.

hope this still helped :)

~rere

Answer:D

Explanation:

I have answer key

1 m² = 1000 J/s = 1000 watt = 1 kW

so for 2 m²:

= 2 x 1 kW = 2kW

The ideal location for the exhaust fan on your Kitchen wall should be 12m above the floor.

Exhaust fan is defined as the device that is used to remove excess moisture, odors, and stale air usually from the kitchen.

When being installed in the kitchen, it should be above the kitchen stove and high enough to be able to remove the steam from the cooking activities.

Therefore, the ideal location for the exhaust fan on your Kitchen wall should be 12m above the floor.

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As the volume of the container increases the pressure inside will decrease because the atoms have more room to move around in.

Answer:

 In a container of the same volume, a greater number of molecules results in greater pressure. Gas pressure increases as container volume decreases.

Hope this helps you!!

Please Mark me Brainleast if am correct!!

Answer:

eV to Joules just multiply by 1.602 × 10^-19

Hence, 1.5eV = 1.5 × 1.602 × 10^-19 J

= 3.04 × 10^-19 J

∑F=m.a

18 - 6 = 40 x a

12 = 40a

a = 0.3 m/s²

The balloon will rise the most on Wednesday due to high temperature that will increase the thermal energy of the balloon and cause it to rise higher.

The average daily temperature of the different days is calculated as follows;

Monday = (4 + 18 + 22)/3 = 14.67 ⁰C

Tuesday = (6 + 19 + 24)/3 = 16.3 ⁰C

Wednesday = (10 + 20 + 25)/3 = 18.3 ⁰C

The average daily temperature of Wednesday is the greatest.

The balloon will rise the most on Wednesday due to high temperature that will increase the thermal energy of the balloon and cause it to rise higher.

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Answer:

Answer:

C. sedimentary

Explanation:

Answer:

Sedimentary

Explanation:

Igneous rock- A rock that's formed through the cooling and solidification of magma or lava.

Metamorphic rock- A rock that starts out as another rock and often has a striped appearance.

Volcanic rock- A rock that's formed from lava that erupted from a volcano.

Sedimentary is the only right answer. A Sedimentary rock is a rock thats made from the deposition of lots of pieces of eroded rock particles.

Frictional force is reduced in smooth surfaces but is large in rough surfaces.

Force is defined as an agent which causes a change in the motion or state of an object.

Forces are of two types:

Contact forces include frictional force.

Frictional forces refers to the force which acts between two surfaces in contact by opposing the relative motion of one over the other

Frictional force depends on the nature of surfaces in contact where rough surfaces produce greater frictional force than smooth surfaces.

Therefore, frictional force is reduced in smooth surfaces but is large in rough surfaces.

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After one half-life, 8 g of radioactive isotope will remain in the sample.

The act of producing radiation spontaneously is known as radioactivity. This is accomplished by an unstable atomic nucleus that want to give up some energy in order to move to a more stable form.

The following formula is used to compute the number of half lives elapsed:

[tex]\rm N=\frac{N_0}{2^n} \\\\ N=\frac{16}{2} \\\\ N= 8 \ gram[/tex]

Hence,8 gram of radioactive isotope remains in the sample after 1 half-life.

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Answer:

Answer is below

Explanation:

8 g

Answer:

When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it.

Answer:

Heart rate monitor I think

Explanation:

you would know how intense the pedaling is by knowing your heart beat rate as of the pedaling is so intense your heart beat increases and if it was not so much your pedaling is not so intense.

This works also for any other sports .

~--Hope this helped--~

Answer: it’s Heart rate monitor

Explanation:

you use a heart rate monitor to check your intensity level by seeing how fast your heart goes

Answer:

A child holds the bar of a set of weights without moving I think

Answer:

electromagnetic waves