Pre-lab
1. A 30 kg child slides down a 6 meter tall, frictionless slide. How fast are they going
when they reach the bottom of the slide? (show your work and conservation o
energy equations)

The velocity of the two objects after the collision is 0.1535 m/s in south direction.

The law of conservation of momentum asserts that, unless an external force is applied, the total momentum of two or more bodies operating upon one another in an isolated system remains constant.

From the law of conservation of momentum, it can be written that:

Total initial momentum = total final momentum

19 kg × 4.2 m/s + 24 kg × (-3.6) m/s = (19 kg + 24 kg)× v

v = [19 kg × 4.2 m/s + 24 kg × (-3.6) m/s] ÷  (19 kg + 24 kg)

v = - 0.1535 m/s

Hence,  the velocity of the two objects after the collision is 0.1535 m/s in south direction.

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Answer:

600

Explanation:

Answer:

40 m/s

Explanation:

At the temperature -40°C (-40°F), can you throw water in the air and it freezes.

This is known as the "flash freezing" point. It is the temperature at which water droplets instantly freeze when they come into contact with cold air.

This will occur in some actual temperature also. That will depend on various factors such as the size of the water droplets, the humidity of the air, and the speed of the wind.

The air around the freezing water droplets does not necessarily have to be in the temperature -40°C. For water to freeze in the air, the air temperature must be below this given temperature in at least some of the places. In many places the this is true also.

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With an object having a mass of 26.94 grams and a volume of 2.568 cubic centimeters, the object is likely to be made of aluminum.

Aluminum is the likely material for the object with a mass of 26.94 grams and a volume of 2.568 cubic centimeters. This conclusion is based on the fact that aluminum has a relatively low density, making it a plausible candidate for an object with these specifications.

Density is defined as mass per unit volume. By dividing the mass (26.94 grams) by the volume (2.568 cubic centimeters), we can calculate the density of the object. The density of aluminum is approximately 2.7 grams per cubic centimeter. Comparing this with the given density value, it becomes apparent that the calculated density is close to the known density of aluminum.

Therefore, it is reasonable to conclude that the object is made of aluminum.

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Answer:

O C. A person absorbs most of the light that hits him or her.

Explanation:

Answer:

Answer:

18 V

Explanation:

According to Ohm's Law, current equals voltage divided by resistance. (I=V/R)

Using this, we can rearrange the equation to have it solved for voltage.

V=IR

Then, you plug in the values for the current and the resistance.

V=(3.6)x(5.0)

V=18

The smooth and accurate execution of movement as conceived in the mind and executed by the body parts describes ; The central nervous system.

Although your question is incomplete an answer is provided which falls within the scope of your question

The human brain receives, interprets and transfer signals it deduces from the impulses it received to the various sense organs ( body parts ) for execution. and this process involves coordination within the nervous system.

The central nervous system is a category of the Nervous system of a human and it consists of the spinal cord and the human brain. and the peripheral nervous system

Hence we can conclude the smooth and accurate execution of movement as conceived in the mind and executed by the body parts describes, The central nervous system.

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Explanation:

key to this problem is the impulse-momentum theorem which states that the change in the momentum of an object is equal to the impulse applied into it.

J

=

Δ

p

,

where

J

is the impulse and

Δ

p

is the change in momentum. Basically, the impulse is the product of force and time duration, that is,

J

=

F

Δ

t

In this problem, the impulse would be the product of the force stopping the rock and

0.7

s

.

On the other hand, momentum

p

is the product of the mass

m

and velocity

v

. Therefore, the change in momentum is given by

Δ

p

=

m

2

v

2

−

m

1

v

1

.

Starting with the impulse-momentum equation, we have

J

=

Δ

p

F

Δ

t

=

m

2

v

2

−

m

1

v

1

Divide both sides by

Δ

t

,

we get

F

Δ

t

Δ

t

=

m

2

v

2

−

m

1

v

1

Δ

t

F

=

m

2

v

2

−

m

1

v

1

Δ

t

Finally, substitute the values and we get

F

=

(

2

kg

)

(

0

)

−

(

2

kg

)

(

6

m

s

)

(

0.7

s

)

F

≈

−

20

kg

m

s

2

Since

1

N

=

1

kg

m

s

2

,

then

F

≈

−

20

N

Therefore, using the correct significant figures (in this case, we need one significant figure since 2 kg, 6 m/s and 0.7 s all have one) in the final answer, we would need to have approximately

20

N

force to stop the rock in

0.7

s

.

Note: The negative sign is referring to the direction of the force opposite of the direction of the velocity

v

1

.

The lightning is occurring approximately 5.1  kilometers away if the flash to bang is 15 seconds. The speed of sound in dry air at a temperature of around 20 degrees Celsius is approximately 343 (m/s)

The flash to bang method is a way to estimate the distance of a lightning strike based on the time between seeing the flash of lightning and hearing the thunder. Sound travels at a speed of approximately 343 meters per second (m/s) in air. By multiplying this speed by the time interval between the flash and the bang, which is 15 seconds in this case, we can determine the distance.

To calculate the distance, we use the formula:

\(\begin{equation}\text{Distance} = \text{Speed} \times \text{Time}\)

Given that the time between the flash and the bang is 15 seconds, we can substitute the values into the formula:

\(\text{Distance} = 343\ \text{m/s} \times 15\ \text{s} = 5145\ \text{m} = 5.145\ \text{km}\)

Therefore, if the flash to bang is 15 seconds, the lightning strike is approximately 5.1  kilometers away.

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Answer:

Destructive interference

Answer:

3,033,276 J

Explanation:

The work can be calculated as

W = Fd

Where F is the force and d is the distance.

Replacing F by 29,738 N and d by 102 m, we get:

W = (29,738 N)(102 m)

W = 3,033,276 J

Then, it has done 3,033,276 J

It is about a billion times brighter.

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The best location to apply angular momentum conservation in this system is at the point of contact between the two rigid bodies.

Since the more massive body is pinned to the ground, it cannot rotate around any axis. Therefore, the angular momentum of the system can only change due to the motion of the smaller body. The point of contact between the two bodies is the location where the angular momentum of the smaller body can be easily tracked, as it is the point at which the smaller body is in contact with the ground and the larger body. Applying angular momentum conservation at this point means that we only need to consider the motion of the smaller body and its change in angular momentum during the collision, rather than tracking the angular momentum of the entire system.

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The energy stored in the spring, with a force of 40 N and a spring constant of 80 N/m, is 10 Joules.

The energy stored in a spring can be calculated using the formula:

\(\begin{equation}E = \frac{1}{2} k x^2\)

Where:

E is the energy stored in the spring

k is the spring constant

x is the displacement of the spring from its equilibrium position

In this case, the force applied to the spring is 40 N and the spring constant is 80 N/m. We can calculate the displacement of the spring (x) using Hooke's Law:

F = k * x

Rearranging the equation, we get:

\(\begin{equation}x = \frac{F}{k}\)

Substituting the values:

\(\begin{equation}x = \frac{40\text{ N}}{80\text{ N/m}} = 0.5\text{ m}\)

Now, we can calculate the energy stored in the spring:

\(\begin{equation}E = \frac{1}{2} k x^2\)

\(E = (1/2) * 80 N/m * (0.5 m)^2\)

E = 0.5 * 80 N/m * 0.25 m²

E = 10 J

Therefore, the energy stored in the spring is 10 Joules.

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Answer:

Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

For two planets orbiting a star in a distant galaxy, having the first semimajor axis of 150 x 10^6 km,  the period of the second plane  is mathematically given as

T=2.2earth year

Generally, the equation for the time period  is mathematically given as

\(T^{2} \appox a^{3}\)

Therefore, for planet one

\(1^2\approx (150 x 10^6)^3\)

In conclusion, For planet 2

T^2=(250/150)^3

T=√4.632

T=2.2earth year

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The period of the second planet for two planets circling a star in a faraway galaxy with a first semimajor axis of 150× 10⁶ km. The time period of the planet will be 2.2 earth years.

The time period of the revolution is the time required to complete one revolution. It is guven by T. It is measured in seconds.

The equation of the time period is found as;

\(\rm T = \frac{250}{150} ^3 \\\\ T= \sqrt{4.632} \\\\ T=2.2 \ earth \ year\)

Hence the time period of the planet will be 2.2 earth years.

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Answer:

stress tension tensile strength

Explanation:

The maximum stress which a material can withstand when it is pulled apart is its: stress tension tensile strength.

Answer:  Yes, I can go and ask for them as needed

Explanation:

Answer:

A) Yes, I can go and ask for them as needed

Explanation:

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The equilibrium distance of A on the beam HP is 7 meters because of the increased weight which is a force at point H.

An equilibrium is utter to be stable if small, externally induced displacements from that state manufacture forces that tend to oppose the movement and return the body or particle to the equilibrium state. There are three types of equilibrium: stable, unstable, and neutral.

systematic for Equilibrium with Three Forces only. select zero degrees to be the +x-axis, and 90° to be the +y-axis. When this force system is acting on a body, equilibrium is possible only if an opposite balancing force is applied by the body (or its supports).

So we can conclude that the Equilibrium of a body is a state in which all the forces acting on the body are steady, and the net force acting on the body is zero.

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Answer:

humans growth and development

puberty is a specific form in a set period of time

Here we are required to determine how the Newtons second law of motion can be algebraically rearranged to solve for acceleration (a).

The correct answer is Choice B: a = F/m

Newton's second law of motion states that the force applied is directly proportional to the rate of change in momentum of the body.

i.e

where (v - u)/t = acceleration, (a)

Therefore, F = ma.

By rearranging; i.e solving for acceleration, (a);

we divide both sides by mass, m

we have;

a = F/m

The algebraic rearrangement to solve for acceleration, (a) is therefore;

a = F/m

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Answer:

7.8cm

Explanation:

Answer:

7.8

Explanation:

Answer:

the Princess in "St. George and the Dragon"

Answer:

The princess in st. George and the dragon

Explanation:

Have a good day

Explanation:

If the moon doubled in mass, that means that the Earth will not experience a total solar eclipse like today. Also, if it doubled in mass, tide waves would increase in size, as the moon would be bigger and would have a bigger gravitational pull. Also, gravity would be different on earth because the moon is bigger (gravity law by mass). Also, the sky would be ‘smaller’ than our actual sky

Answer:

If the moon's mass doubles, the Earth will not witness a total solar eclipse as today. Also, if its mass doubled, tide waves would double in size since the moon would be bigger and have a stronger gravitational attraction. Also, because the moon is larger, gravity on Earth would be different (gravity law by mass). Also, the sky would be "smaller" than it is now.

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Answer:

Explanation:

Given: q₁ = q₂,

F= 10 N,

distance between two charges, r = 30000 m.

We have, \(F = \frac{q_{1} q_{2} }{4\pi Er^{2} }\)

Hence, \(q_{1} q_{2} =F * 4\pi *E *r^{2}\)

E (epsilon) =\(8.85 * 10^{-12} C^{2} /Nm\)

Substituting the values, we have,

\(q_{1} q_{2} = 1 C\)

Hence \(q_{1} = q_{2} = 0.5 C\)

Answer:

the red flannel heats up and the green flannel remains at the same temperature.

Explanation:

A magenta filter lets the red and blue colors through, absorbing the green color.

When these colors affect the flannels, the red flannel absorbs the red color and heats up.

the green flannel cannot absorb its color as it is blocked by the magenta filter, consequently it remains at the same temperature.

In short, the red flannel heats up and the green flannel remains at the same temperature.

When the flannels are placed in front of the filter, the two flannels get hot since the white one has all the colors.

The graph of the relationship between amplitude and decibel level of sound is not a linear graph but a logarithmic graph.

It is known as the Sound Intensity Level graph, where the amplitude of the sound is plotted on the x-axis, and the decibel level of sound is plotted on the y-axis.

As the amplitude of the sound increases, the decibel level increases as well. The relationship is not directly proportional, as a small change in amplitude can result in a significant change in decibel level. For example, a sound with an amplitude of 1 Pa has a decibel level of 0 dB, whereas a sound with an amplitude of 10 Pa has a decibel level of 20 dB. This indicates that the decibel level is increasing exponentially with the increase in amplitude.

Moreover, the graph shows that the human ear has a limited range of hearing, which is between 0 dB and 140 dB. Beyond this range, sounds become too loud to hear or can cause damage to the ear. Therefore, it is important to monitor the decibel level of sound to protect our hearing.

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