A marble rolls off a tabletop 1.1m high and hits the floor at a point 2.1m away from the tables edge in the horizontal direction.

A. How long (in seconds) is the marble (in m/s) in the air?

B. What is the speed of the marble (in m/s) when it leaves the tables edge?

C. What is the speed (in m/s) when it hits the floor?

Answer:

The circular turning of roads

Explanation:

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Answer:

Explanation:

The circular turning of roads

Driving on Curves

The gauge pressure at point 2 is 98100 Pa or 9.81 x\(10^4\) Pa, which is equivalent to 6.97 x\(10^4\) Pa when rounded to two significant figures.

Step 1: Identification of the given data:

- Elevation at point 1 (h1) = 10.0 m

- Elevation at points 2 and 3 (h2 = h3) = 2.00 m

- Cross-sectional area at point 2 (A2) = 0.0480 \(m^2\)

- Cross-sectional area at point 3 (A3) = 0.0160 \(m^2\)

Step 2: Determination of the discharge rate:

As mentioned earlier, the discharge rate (Q) is given by Q = A2 * v2, and since the velocity at point 2 (v2) is negligible, the discharge rate will be 0.

Therefore, the discharge rate is 0 cubic meters per second.

Step 3: Determination of the gauge pressure at point 2:

To find the gauge pressure at point 2, we'll use Bernoulli's equation:

P1 + (1/2)ρ\(v1^2\) + ρgh1 = P2 + (1/2)ρ\(v2^2\) + ρgh2

Since the velocity at point 2 (v2) is negligible, the term (1/2)ρ\(v2^2\) can be ignored.

The equation simplifies to:

Patm + ρgh1 = P2 + ρgh2

We want to find the gauge pressure at point 2, so we'll subtract the atmospheric pressure (Patm) from P2:

\(P_g_a_u_g_e\) = P2 - Patm

Now let's substitute the given values into the equation:

\(P_g_a_u_g_e\) = (Patm + ρgh1) - Patm

\(P_g_a_u_g_e\) = ρgh1

Plugging in the values:

\(P_g_a_u_g_e\) = (1000 kg/m^3) * (9.81 \(m/s^2\)) * (10.0 m)

\(P_g_a_u_g_e\) = 98100 Pa

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Answer:

2...................

Explanation:

It is given that,

The position of a particle is given by :

\(r(t)=(3t^2i+5j-6tk)\ m\)

(a) Velocity of a particle is given by :

\(v=\dfrac{dr(t)}{dt}\)

Putting values,

\(v=\dfrac{d}{dt}(3t^2+5-6t)\\\\v=(6ti-6k)\ m/s\)

The acceleration of the particle is given by :

\(a=\dfrac{dv}{dt}\\\\a=\dfrac{d}{dt}(6t-6)\\\\a=6i\ m/s^2\)

(b) At t = 0,

Velocity, v = 6k m/s

Acceleration, a = 6i m/s²

With the use of formula, the the diver will enters the water with the speed of 22.1 m/s

Speed is how fast an object is moving which can be defined as distance over time.

Given that a cliff diver stands at the top of a cliff and falls forward off the cliff. If the cliff is 25 m tall, to know how fast  the diver going as she enters the water below, let us make use of the equation below

v² = u² + 2gH  Where

Substitute all the parameters into the equation

v² = 2× 9.8 × 25

v² = 490

v = √490

v = 22.1 m/s

Therefore, the diver is going as she enters the water with the speed of 22.1 m/s

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Answer:

Distance A:11km

B:10km

Explanation:

Displacement A and B is 9km

We have the next coordiantes (-2.3,-4.1)

First we need to calculate the resultant

Then we calculate the angle

Therefore the polar coordinate is

After 42 minutes, there are 203 x \(10^{20\) atoms remaining of the radioactive substance.

To determine the number of atoms remaining after a certain amount of time has passed, we can use the formula for radioactive decay:

N(t) = N0 * \((1/2)^{(t / T)\),

where:

N(t) = number of atoms remaining at time t,

N0 = initial number of atoms (812 x  \(10^{20\) atoms),

T = half-life of the substance (21 minutes), and

t = time that has passed.

Let's calculate the number of atoms remaining after a given time.

Suppose the time passed is t = 42 minutes (twice the half-life).

N(t) = 812 x  \(10^{20\) * \((1/2)^{(42 / 21)\)

N(t) = 812 x  \(10^{20\) * \((1/2)^2\)

N(t) = 812 x  \(10^{20\) * 1/4

N(t) = 203 x  \(10^{20\) atoms.

So, after 42 minutes, there are approximately 203 x \(10^{20\) atoms remaining of the radioactive substance.

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Answer:

Useable energy, electricity

The work done by a force can be calculated with the formula below:

Where W is the work in Joules, F is the force in Newtons and d is the displacement in meters.

So, for a force of 830 N and a displacement of 25 meters, the work is:

Therefore the correct option is A.

Answer: A literature review consists of an overview, a summary, and an evaluation (“critique”) of the current state of knowledge about a specific area of research.

Explanation:

There would be  5.38 × 10¹⁹ number of molecules of air at that condition.

A theoretical gas known as an ideal gas is made up of several randomly moving point particles with no interparticle interactions.

Because it abides by the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis, the ideal gas concept is helpful.

The amount of air = PV/RT

= (4.0 × 10 ⁻¹¹× 0.060)/ 8.314 ×(273 + 50) mole

= 8.93714 × 10⁻⁵ moles.

molecules of air would there be =  8.93714 v × 6.023 × 10²³ = 5.38 × 10¹⁹

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Answer:

The average atomic mass of an element is the sum of masses of it's isotopes

Each are multiplied by it's natural abundance

Explanation:

The average atomic mass of an element is the sum of masses of it's isotopes

Each are multiplied by it's natural abundance

Voltage = (current) x (resistance)

Voltage = (4.00 A) x (330 Ω)

Voltage = 1,320 V  (D)

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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The horizontal force required to move the crate at a steady speed across the floor will be 58.86 N.

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

The given data in the problem is;

Mass,m = 24 kg

The coefficient of kinetic friction, μ=0.25

The friction force is defined as the product of the coefficient of friction and normal reaction.

f=μN

If there is no other force, the horizontal force is equal to the friction force;

F=f

The horizontal force required to move the crate at a steady speed across the floor is found as;

F = μN

The normal reaction force is;

N=W

N=mg

F = μmg

F=0.25 ×  24-kg × 9.81 m/s²

F = 58.86 N

Hence horizontal force is required to move the crate at a steady speed across the floor will be 58.86 N.

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The rank of the forces in order of increasing magnitude is Fg < FB < FA.

option D is the correct answer.

The net force on an elevator moving upwards is determined by the force of gravity acting downwards and the normal force of the elevator acting upwards.

That is, the two forces acting on a person when he is moving in an elevator are:

When the two forces are of equal magnitude, the elevator will be static or moving with constant velocity.

When the magnitude of the two force are unequal, then the elevator will be accelerating upward or downward.

Since the elevator is moving upwards, it implies that the normal force is greater than the force of gravity acting downwards.

The box at the bottom will feel much heavier due to the weight of box and gravity acting downwards.

FA = FB + Fg

Thus, the force exerted on box A is the greatest, followed by the force on box B and then, the smallest is force of gravity.

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The net charge on q2 is estimated at -4.00 × 10^-9 C.

We apply  Coulomb's law to solve this:

The Force is  = (k * q1 * q2) / r^2

For q1 and q2:

F1-2 = (k * q1 * q2) / r^2 = (9.0 × 10^9 N·m^2/C^2) * (-6.00 × 10^-9 C) * (-3.00 × 10^-9 C) / (0.60 m)^2 = 1.35 × 10^-3 N

For q2 and q3:

F2-3 = (k * q2 * q3) / r^2 = (9.0 × 10^9 N·m^2/C^2) * (-3.00 × 10^-9 C) * (-1.10 × 10^-9 C) / (0.60 m)^2 = 2.25 × 10^-4 N

The net force on q2 is the vector sum of the forces on q2 from q1 and q3:

Fnet = F1-2 + F2-3 = 1.35 × 10^-3 N + 2.25 × 10^-4 N = 1.58 × 10^-3 N

Fnet = (k * q2 * qtot) / r^2

qtot = the net charge on q2

qtot = (Fnet * r^2) / (k * q2) = (1.58 × 10^-3 N) * (0.60 m)^2 / (9.0 × 10^9 N·m^2/C^2) / (-3.00 × 10^-9 C) =  -4.00 × 10^-9 C

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Explanation:

between 0 and 2 hours the relationship between time and distance traveled is a linear one.

that means that the velocity (= distance/time like in km/s) is constant (and not increasing).

and because between the hours 2 and 3 there is no increase in distance, this means the car stood still during that time. so, no, it was not always in motion during the voyage.

therefore,

option 2 is correct (as described, no change in distance means no motion or zero velocity).

and option 3 is correct, because also between hours 3 and 5 the function is linear and the speed ratio is therefore constant.

Explanation:

A=v-u/t

A= 6- 28/4

A= 5.5m/s2

s= ut+ 1/2 at^2

s = 28 * 4+ 1/2 * 5.5 * 4^2

s = 112 + 1/2 * 5.5 * 16

s = 112 + 5.5* 8

s= 112 + 44

s = 156m

Answer:

Which organisms are part of the food web in the pond?

Explanation:

A "scientific investigation" is a method of looking for an answer with the help of a scientific method. It helps a person learn more about the world around him.

Since the scientific investigation only employs "measurable" observations, then the only question he can ask is the types of organisms (which is measurable) that belonged to the pond's food web. This question is more focused on observing the pond, unlike the other questions that talked about different things like money, having a pet and summer season–these are not directly observable and measurable in the current situation.

Answer:   Which organisms are part of the food web in the pond?

Explanation:

Answer:

2.46 x 104

Explanation:

Solution

Recall that:

The retention time of a peak = 407 s

with a width at half-height of = 7.6 s

A compound is retained in 2.5 s.

resolution to be achieved = 1.5

Thus,

The number of plates (theoretical)= 16(tr2 / w2)

The R Resolution R= 0.589 Δtr / w1/2av = 0.589(17s) / 1/2(7.6s + 9.4s) = 1.18

Supposed that applied column contains 10,000 theoretical plates and the resolution of two peaks is 1.18

So if the column is replaced to obtain 1.5 resolution, the number of theoretical plates is needed is  stated below;

width at the base = 9.4 - 7.6 = 1.8; tr = 0.786

N = 5.55tr2 / w21/2 = 5.55 (0.7862/ 1.182) x 104

= 2.46 x 104

Therefore, required theoretical plates to achieve a resolution of 1.5 is 2.46 x 104

Answer:

Curvature

Explanation:

Answer:

The second independent variable in a 2x4x3 factorial design has 4 levels.

Explanation:

Answer:

A rabbit which needs food specifically food from plants because they are vegetarians, to help them grow. The energy that the plant holds is given to the rabbit when eaten. The plant feeds the bunny its nutrients which tells the muscles to keep going and get stronger and tells the rest of the body to grow.

Explanation:

Answer: 0

Explanation: because when it return total displacement is 0

Answer:

a) 65.83 km

b) 52.664 km/h

Explanation:

Different speed values :

Initial speed : 50 km/h  for 15 mins

                       80 km/h  for 25 mins

stops for 55 mins

40 km/h for 30 minutes

a) Determine total distance covered

Speed = distance covered / time

∴ Total distance = ∑speed * time

                           = ( 50 * 15/60 ) + ( 80*25/60) + ( 40 * 30/60 )

                           = 65.83 km

b) Average speed

Total distance / time taken

= 65.83 / ( 15 + 25 + 30 ) / 60

= 65.83 / ( 75/60)

= 52.664 km/h