In an experiment, you find the mass of a cart to be 250 grams. What is the mass of the cart in kilograms?

a) At a position of 2.0m, the Initial energy is all made up of the potential energy=m*g*hi
and meanwhile at 1.5 all its energy is also potential energy=m*g*hf 

The percentage of energy remaining is E=m*g*hi/m*g*hf x 100 

and since mass and gravity are constant so it leaves us with just E=hi/hf 
which 1.5/2.0 x100= 75% so we see that we lost 25% of the energy or 0.25 in fraction 

b) Here use the equation vf^2=vi^2+2gd 

where g is gravity, vf is the final velocity and vi is the initial velocity while d is the distance travelled

so in here we are looking for the vi so let us isolate that variable 
we know that at maximum height or peak, the velocity is 0 so vf is 0 

therefore,

vi =sqrt(-2gd) 
vi =sqrt(-2x-9.81x1.5) 
vi =5.4 m/s

c) The energy was converted to heat due to friction with the air and the ground.

We know that the density is defined as the ratio of mass to the volume.

Density = Mass/volume

We know that the unit of the mass is kg

Unit of the volume is liter (l)

Therefore the unit of the density will be kg/l .

Now the first expression is 5.2 Cm^3 which is a unit of volume. Therefore it will not be the expression for density.

Second expression is 0.71 mg which has unit of mass. Therefore it will also not be the expression for the density

Third expression is 20 g/cm^2 which also not have the unit of density.

Fourth expression is 5.13 kg/l which is having unit of density.

Therefore the expression of density will be 5.13 kg/l

Answer:

10

Explanation:

The glucose molecules produce the energy currency ATP by the process of glycolysis. If one molecules of glucose makes 30 molecules of ATP, then 10 glucose molecules are needed to make 300 molecules of ATP in aerobic respiration.

Glycolysis is the process of breakdown of glucose to produce the chemical energy in the form of ATP i.e. Adenosine triphosphate. Glycolysis is called the cellular respiration where the oxygen and glucose is consumed to produce ATP and carbon dioxide.

Body stores the chemical energy in the form of glucose, when body needs energy, these glucose molecules are broken down to produce ATP.

If one molecule of ATP produces 30 ATP molecules, then, the number of glucose molecules needed to produce 300 ATP molecules is:

= (300 /30) = 10

Therefore 10 glucose molecules are needed to produce 300 ATP molecules.

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The acceleration of a skydiver when air resistance is 86% of her weight is calculated by finding the net force on her (weight minus air resistance), then dividing this by her mass. The result is 1.4 m/s^2, reflecting the balance of forces and the concept of terminal velocity.

To calculate the acceleration of a skydiver when the air resistance is 86% of her weight, we must first understand that the net force on the skydiver is her weight minus the force of air resistance. If the air resistance is 86% of the skydiver's weight, then only 14% of her weight is acting downwards. Considering the weight (force) is the mass (m) times the acceleration due to gravity (g), or F=mg. We then have, a = Fnet / m = 0.14 * weight / m = 0.14 * g (as weight = mg).

Given g (acceleration due to gravity) is 10 m/s2, substituting this into our equation gives an acceleration of a = 0.14 * 10 m/s2, which is 1.4 m/s2. Therefore, the acceleration of the skydiver when air resistance builds up to 86% of her weight is 1.4 m/s2.

It's important not only to understand formulae in physics but also the concepts they express. In this situation, that concept is the balance of forces and how they affect an object's movement. In the case of a skydiver, as they fall, air resistance builds up until it equals their weight, causing their acceleration to decrease until they reach a constant velocity, known as 'terminal velocity'.

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The atomic radius typically increases down a specific group and decreases throughout a period from left to right. Group I and the bottom of the groups are home to the isotopes with the biggest atomic radii.

The atom is the smallest piece of matter that may be divided without releasing electrically charged particles.

Additionally, it is the smallest piece of matter with the characteristics of a chemical substance. The atom is indeed the fundamental unit of chemistry as a result.

Look into the many-electron-electron configurations in the electron shells surrounding the atom's nucleus.

The majority of an atom is blank land. A cloud of electrons with negative charges surrounds a positive charge nucleus made up of neutrons and protons, which make up make the rest of the structure.

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Final answer:

Gravity is the force that pulls objects toward each other, always acting to bring masses together. It is determined by the mass of the objects, with larger objects exerting stronger gravitational pulls. This force is vital in everyday phenomena and in the broader understanding of the universe.

Explanation:

The force that pulls objects toward each other is known as gravity. This fundamental force is omnipresent in nature, always acting in an attractive manner between two objects. The strength of gravitational pull is directly related to an object's mass; therefore, the larger an object, the stronger its gravitational pull. Unlike other forces that can push objects apart, gravity uniquely pulls them together. It's important to note that every object with mass in the universe exerts a gravitational pull on every other mass, a principle crucial in understanding the cosmic ballet of celestial bodies, as well as the everyday phenomenon of objects falling towards the Earth.

Gravity's effect is evident in daily experiences, such as why we stay grounded on Earth and not drift off into space. The understanding of gravity also plays a crucial role in designing structures and in aerospace engineering, where gravitational forces must be accounted for. The gravitational force is consistent with Newton's third law, indicating that the force experienced between two objects due to gravity is equal in magnitude and opposite in direction, aligning along a line joining the centers of mass of the two bodies involved.

The sun is 900,000 miles (1,448,410 km) wide. It is the brightest object in the sky. To put into perspective how big the sun is, about 1.4 million Earths could fit inside the sun!

Wind and moving water both have kinetic energy, which is the energy an object has due to its motion. This energy can be harnessed to produce electricity, for example, in wind turbines and hydroelectric plants.

What wind and moving water have in common is that they both have kinetic energy. Kinetic energy is the energy an object possesses due to its motion. Wind, being moving air, possesses kinetic energy as it has mass and velocity. The same applies to moving water. Whether in the form of a running stream or waves in the ocean, the moving water particles possess kinetic energy due to their motion.

For instance, kinetic energy is the type of energy harnessed by wind turbines and hydroelectric plants. Wind turbines use the kinetic energy in wind to turn the blades of the turbine, which generates electricity. Similarly, hydroelectric plants use the kinetic energy of moving water to turn a turbine and generate electricity.

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The force on the body of mass 25 kg is 300 N then the acceleration of the body will be equal to 12 m/s².

The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

As per the information given in the question,

Force, F = 300 N

Mass, m = 25 kg

Use the formula of force,

F = ma

300 N = 25 × a

a = 300/25

a = 12 m/s²

Therefore, the acceleration is 12 m/s².

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Answer:

13608 joules

Explanation:

We are given that mass of scooter=84 kg

Speed of scooter=18 m/s

We have to calculate the kinetic energy

We know that formula of kinetic energy

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

Substitute the values then we get

K.E=[tex]\frac{1}{2}\times 84\times (18)^2=13608 joules[/tex]

Hence, the kinetic energy of an scooter=13608 joules

To calculate the car's acceleration, we convert the initial speed of 60 mph to 26.8 m/s and the final speed of 30 mph to 13.4 m/s. Using the acceleration formula (final velocity minus initial velocity divided by time), the acceleration is found to be [tex]-0.0186 m/s^2[/tex] over the 720 seconds (12 minutes), indicating that the car is decelerating.

To calculate the acceleration of the car, we first need to convert the speeds from miles per hour to meters per second (m/s). Since the car slows down, the acceleration will be negative. The initial speed is 60 mph, which is equivalent to 60  imes 1609/3600 m/s or approximately 26.8 m/s. The final speed is 30 mph, which is equivalent to 30 1609/3600 m/s or approximately 13.4 m/s. The time taken to slow down is 12 minutes, which is 12 60 seconds or 720 seconds. Now we use the formula for acceleration, which is a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time taken. Thus, the acceleration a is (13.4 m/s - 26.8 m/s) / 720 s = [tex]-0.0186 m/s^2[/tex]. The negative sign indicates that the car is decelerating.

Answer:

velocity

Explanation:

The relation between wave velocity, frequency and wavelength of a wave is given by

wave velocity = frequency x wavelength

So, as the frequency and wavelength is given we can find the wave velocity.

A correct example of the principle of conservation of momentum is the bouncing of a basketball off the board. Therefore, option D is correct.

As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.

"The motion of an item equal to the product of its mass and its velocity" is referred to as momentum. When something is said to have momentum, it refers to its unique mass and direction of motion.

Here, we offer a few more ideas that will help us describe motion in the future. Before Newton, the French scientist and philosopher Descartes introduced the first of them, called momentum.

Thus, option D is correct.

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Answer:

What wave is a sound wave?

For a sound wave traveling through air, the vibrations of the particles are best described as longitudinal. Longitudinal waves are waves in which the motion of the individual particles of the medium is in a direction that is parallel to the direction of energy transport.

Explanation:

The Gravitational force pulled together areas of matter in the early universe to begin the process of star formation.

The four fundamental forces that work in the universe are given below.

These fundamental forces have different strengths and they work over different ranges and directions.

The gravitational force operates on all objects of the universe in the infinite range. Gravitation is the most important of the four fundamental forces for astronomical objects over astronomical distances for two reasons.

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The basic unit of pressure mapped on weather maps is Millibar (mb). The correct option is A.

The standard unit for displaying atmospheric pressure on weather maps is the millibar, which is a frequently used unit of pressure in meteorology. It is equal to 100 pascals, or one thousandth of a bar.

Isobars, or lines bridging regions of equal atmospheric pressure, are shown on weather maps, and they are commonly labelled in millibars.

With the aid of this device, meteorologists can quickly analyse and evaluate pressure variations and patterns across various geographic locations, which aids in comprehending weather systems and the circumstances that go along with them.

Thus, the correct option is A.

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Your question seems incomplete, the probable complete question is:

The basic unit of pressure mapped on weather maps is

A) Millibar (mb)

B) Pascal (Pa)

C) Atmosphere (atm)

D) Pound per square inch (psi)

Circular motion is the type of motion which is responsible for the motion in a convection current. Thus, the correct option is D.

The heat energy can be transferred through the process of convection by the difference which is occurring in the temperature between two parts of the fluid. Due to this difference in temperature, the hot fluids tend to rise, whereas the cold fluids tend to sink deeper. This creates a current within the fluid which is called as the convection current.

Convection currents are the heat-driven cycles which occur in the air, ocean, and mantle due to the circular motion. They are caused by a difference in temperature, often due to a differing proximity to a heat or energy source. The difference in the temperature relates directly to the density of the material, which is causing this effect.

Therefore, the correct option is D.

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Answer:

[tex]\Huge \boxed{\mathrm{200 \ N}}[/tex]

Explanation:

[tex]\sf Weight \ (N)= mass \ (kg) \times acceleration \ of \ gravity \ (m/s^2)[/tex]

[tex]W=mg[/tex]

Your mass is 20 kg.

The acceleration of gravity is approximately 10 m/s².

[tex]W=20 \times 10[/tex]

[tex]W=200[/tex]

Your weight is 200 N.

Final answer:

During upward acceleration in an elevator, your perceived weight increases due to the increased normal force required for acceleration, although your mass remains unchanged. Once the elevator moves at a constant speed, the normal force equals your actual weight, and the scale reads your true weight.

Explanation:

When you are in an elevator that starts from rest and accelerates upward, your weight, mass, and the normal force exerted by the floor experience noticeable changes. Firstly, your mass remains constant regardless of the elevator’s movement because mass is a measure of the amount of matter in your body and does not depend on gravity or acceleration. However, your weight and the normal force exerted by the floor change as the elevator moves.

When the elevator accelerates upward, the normal force exerted by the scale (or floor) must not only support your weight but also provide the force necessary to accelerate you along with the elevator. This means the normal force, which you perceive as your weight, increases. Thus, if you were standing on a bathroom scale during this acceleration, the scale would display a value greater than your actual weight at rest, reflecting the increased normal force required to accelerate you upward.

Once the elevator reaches a constant speed, you would no longer be accelerating, and the normal force would again match your actual weight, assuming the elevator is moving at a constant velocity upward or remains stationary. In this scenario, the scale would then read your true weight, similar to when you are at rest. This illustrates how acceleration affects the normal force and perceived weight, differing from the constant mass.

Lesson 9: Fluid Pressure (connexus students!)

1.D) 3 n/m^2

2.C) 2 meters below the surface of a swimming pool

3.B) cork

4.A) depends only on the type of fluid

5.A) the air pressure decreases

Final answer:

To calculate the time for a car to accelerate from 60 km/h to 90 km/h with a constant acceleration of 2.0 m/s², velocities are converted to m/s and the formula v = u + at is used. The result is a time of 4.17 seconds.

Explanation:

The question pertains to a car initially traveling at 60 km/h that accelerates at a constant rate of 2.0 m/s² until it reaches a speed of 90 km/h. To calculate the time required for the car to reach this speed, we must first convert the initial and final velocities from km/h to m/s. Doing so, 60 km/h equals 16.67 m/s and 90 km/h equals 25.00 m/s. The formula that relates initial velocity (u), final velocity (v), acceleration (a), and time (t) is:

v = u + at

Substituting the known values results in:
25.00 m/s = 16.67 m/s + (2.0 m/s²)t

By rearranging the equation, we can solve for t:
t = (25.00 m/s - 16.67 m/s) / 2.0 m/s²

t = 4.17 s

Therefore, the car requires 4.17 seconds to accelerate from 60 km/h to 90 km/h given a constant acceleration of 2.0 m/s².