You are running with a carry-on suitcase through the airport. Where should the center-of-mass of the suitcase ideally be located

Do = 2f means that object distance is 2 x focal length.

2 x focal length = radius of curvature

When an object is placed at the radius of curvature, a real, inverted image is formed at the other radius of curvature. The sizes of the image and the object are the same. The sketch is shown below

Answer:

If the car comes to a sudden stop, your body tends to keep moving forward.

Explanation:

Answer:

C. Sturdy stems

Explanation:

Sturdy stems is the adaptation that enables water hyacinth to get nutrients directly from the water because there is no roots are present for the absorption of nutrients from water. The hollow bulbous stem below each leaf of water hyacinth allows the plant to get nutrients from the water. This hollow bulbous stem allow the plants to float on the water surface, keeping the leaves and flowers above the water so they don't rot.

Answer:

I think you are looking for the velocity, so the answer is 38.5 m/s

Explanation:

Velocity is giving by displacement/time. North will be positive and South will be negative, George travels 750 meters then travels -250 meters his displacement is then 750 - 250 or 500 meters. Divide that by 13 seconds to get 38.5 m/s.

The kinetic energy of the roller coaster at the low point of the ride is 280 000 J.

To find the kinetic energy of the roller coaster at the low point, we need to consider the conservation of mechanical energy, which states that the total mechanical energy remains constant if only conservative forces act on the object. The total mechanical energy is the sum of the potential energy and the kinetic energy.

At point A, the total mechanical energy is:
Total Energy = Potential Energy + Kinetic Energy
Total Energy = 250,000 J + 65,000 J = 315,000 J

Since 35,000 J of work have been done against friction, we need to subtract this value from the total mechanical energy:
Total Energy - Work Done = 315,000 J - 35,000 J = 280,000 J

At the low point, the potential energy is zero, so the remaining energy is kinetic energy:
Kinetic Energy = Total Energy - Potential Energy
Kinetic Energy = 280,000 J - 0 J = 280,000 J

So, the kinetic energy is 280,000 J.

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Hi there!

Assuming the rod is pulled back 90° (π/2 radians), we can use angular kinematics to solve.

Using the equation:

\(\omega_f^2= \omega_i^2 + 2\alpha \theta\)

\(\omega_f\) = final angular velocity (? rad/sec)

\(\omega_i\) = initial angular velocity (0 rad/sec)

\(\alpha\) = angular acceleration (rad/sec², must solve for)

\(\theta\) = angular displacement (π/2 rad)

Recall Newton Second Law's rotational equivalent:
\(\Sigma \tau = I\alpha\)

τ = Torque (Nm)

I = Moment of inertia (kgm²)
α = angular acceleration (rad/sec²)

Setting the pivot point at the end, and knowing that the force of gravity works at an object's center of mass (1.5m from the rod's end), we can solve for the angular acceleration.

\(\tau= F \times r\\\\\tau = W \times r = 10(9.8) * 1.5 = 147 Nm\)

Now, solve for the moment of inertia given I = 1/3ML² at one of its ends:
\(I = \frac{1}{3}(10)(3^2) = 30 kgm^2\)

Solve for the angular acceleration:
\(147 = 30\alpha\\\\\alpha = 4.9 \frac{rad}{sec^2}\)

Now, we can use the kinematic equation to solve.

\(\omega_f^2 = 0 + 2(4.9)(\frac{\pi}{2}})\\\\\omega_f = \sqrt{2(4.9)(\frac{\pi}{2})} = \boxed{3.923 \frac{rad}{sec}}\)

Answer:

also tripled, factor of 3

Explanation:

equation of momentum is p = m * v , where p=momentum, m=mass, and v=velocity

if m is unchanged

p1 = m1 *v1

p2 = m2 *v2

m1 = m2 and v2 = 3*v1

p2 = m1 * 3v1 = 3*p1, tripled momentum

The principle of conservation of momentum states that:

Momentum before collision:

Velocity of 50.0 kg object = v m/s

Momentum of 50.0 kg object = 50 * v

Momentum after collision:

Velocity of the 50.0 kg object = 6.0 m/s 50.0degree N of E

Velocity of the 60.0 kg object = 6.3 m/s 38degree S of E.

Momentum of 50.0 kg object = 50 * 6 = 300 kgm/s

Momentum of 50.0 kg object = 60 * 6.3 = 378 kgm/s

Total momentum after collision = 678 kgm/s

From the principle of conservation of momentum:

50 kg * v = 678 kgm/s

v = 678 kgm/s / 50 kg

velocity, v = 13.56 m/s

Therefore, the velocity of the 50.0 kg object before collision was 13.56 m/s.

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Chester will need to exert a force of 120 Newtons to accelerate the cart at a rate of 1.2 m/s^2, neglecting the mass of the cart and assuming there is no friction.

To determine the force exerted by Chester to accelerate the cart, we can utilize Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration. In this scenario, the mass of the cart itself is neglected, so the total mass to consider includes the two 50 kg sacks, resulting in a total mass of 100 kg.

Newton's second law can be expressed as F = m * a, where F is the force, m is the mass, and a is the acceleration. Substituting the given values, we have:

F = (100 kg) * (1.2 m/s^2) = 120 N

Therefore, Chester will need to exert a force of 120 Newtons to accelerate the cart at a rate of 1.2 m/s^2, neglecting the mass of the cart and assuming there is no friction. This force will provide the necessary push to overcome the inertia of the combined mass and achieve the desired acceleration. However, it is important to note that in real-world scenarios, additional factors such as friction and air resistance would need to be considered, which may require greater force exertion by Chester to achieve the desired acceleration.

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The answer is A. Earth. This is because the value of gold is determined by its weight and mass, which is the same on Earth and in the extraterrestrial market.

Therefore, the ingot that weighs 10 lb on Earth will have the most gold, regardless of its weight on other planets.To get the most gold, you should choose the ingot that weighs 10 lb on Jupiter because the gravity on Jupiter is much stronger than on Earth and the Moon. The ingot's mass will be greater if it weighs 10 lb under Jupiter's gravity, resulting in more gold for you.

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Answer:  5 years

Explanation:

Expression for rate law for first order kinetics is given by:

\(t=\frac{2.303}{k}\log\frac{a}{a-x}\)

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant  = x

a - x = amount left after decay process  = \(\frac{x}{16}\)

a) for calculating k

\(20=\frac{2.303}{k}\log\frac{x}{\frac{x}{16}}\)

\(k=\frac{2.303}{20}\log{16}\)

\(k=0.138years^{-1}\)

b) for calculating half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

\(t_{\frac{1}{2}}=\frac{0.693}{0.138years^{-1}}\)

\(t_{\frac{1}{2}}=5years\)

Thus its half life is 5 years

Answer:

The buoyant force is 9.8 N.

Explanation:

The buoyant force acting on the material is called upthrust, and can be determined as;

Upthrust = density of liquid x volume of object x gravitational force

So,

density = \(\frac{mass}{volume}\)

⇒ mass = density x volume

             = 4230 x 0.001

             = 4.23

mass of the material = 4.23 kg

But,

weight = mass x gravitational force

weight = 41.5 N, and mass = 4.23 kg, then;

41.5 = 4.23 x g

g = \(\frac{41.5}{4.23}\)

  = 9.811

g = 9.8 m/\(s^{2}\)

Upthrust = 1000 x 0.001 x 9.81

              = 9.81 N

The buoyant force is 9.8 N.

Answer:

B

Explanation:

This is the discovery of redshift that led scientist to say the universeis still expanding

the momentum = m * v

m : mass

v : velocity

momentum = 1 * 50 = 50 kg.m/s

Answer:

A , C , E

they are all multiples of 3

Physical activity and exercise typically lead to higher energy levels (C).

Physical activity and exercise refer to any bodily movement that requires energy expenditure by the muscles. This can include activities such as walking, running, cycling, swimming, weightlifting, and team sports, among others.

Physical activity and exercise are important for maintaining good health and well-being, as they can help to improve cardiovascular fitness, muscular strength and endurance, flexibility, and overall body composition.

Physical activity and exercise are known to stimulate the production of endorphins, which are natural mood elevators. This can lead to increased energy levels and a general feeling of well-being.

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The statement that is FALSE regarding the Lewis structure for XeF4 is that the central atom has lone-pair electrons.

In the Lewis structure for XeF4, xenon (Xe) is the central atom surrounded by four fluorine (F) atoms. Each fluorine atom is bonded to xenon through a single bond, making the total number of valence electrons represented in the structure 36.

The formal charge on the central atom is zero since xenon has eight valence electrons in its outermost shell and is fulfilling the octet rule. However, there are no lone-pair electrons on the central atom, as all of its valence electrons are either involved in the bonding or have paired up to fulfill the octet rule.

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Answer:

(a) Force and Pressure

Explanation:

Acc to the formula,

Force = Pressure/Area

Therefore it depends on force and pressure

a)  ΔHvap for this substance is: -10000 J/mol or -10.00 kJ/mol

b) The molar heat of vaporization for this substance is: 5000 J/mol or 5.00 kJ/mol

c) The substance is: Water.

a) The amount of heat released is given as 20.0 kJ, and the mass of the substance is 2.0 g.

To find ΔHvap, we need to convert the mass of the substance to moles by dividing it by its molar mass, and then use the equation: ΔH = q/moles.

The molar mass of water is 18.02 g/mol, so the number of moles is 2.0 g / 18.02 g/mol = 0.111 mol.

Therefore, ΔHvap = -20.0 kJ / 0.111 mol = -10000 J/mol or -10.00 kJ/mol.

b) The molar heat of vaporization is defined as the amount of heat required to vaporize one mole of a substance.

Since we know ΔHvap for this substance is -10.00 kJ/mol, the molar heat of vaporization is +10.00 kJ/mol.

c) The values obtained for ΔHvap and the molar heat of vaporization are consistent with water, indicating that the substance in question is water.

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The given question is incomplete, so an complete question is written below,

As the question is missing an important part, all the important possibilities which can fill the gap is written below,

a) What is ΔHvap for this substance?

b) What is the molar heat of vaporization for this substance?

c) What is the substance?

If an electron is trapped in an infinite well of width 1.31 nm. The three longest wavelengths permitted for the electron's de broglie waves will be 14.39 * \(10^{2}\) m , 5.40 * \(10^{2}\) m and 2.88 * \(10^{2}\) m

1st longest wavelength will be

lambda = 8 * m * \(L^{2}\) * c / h ( \(n_f^{2}\) - \(n_i^{2}\))

m = mass of electron

L = width of infinite well

h = plank's constant

c = speed of light

lambda 1 = 8 * m * \(L^{2}\) * c / h ( \(n_f^{2}\) - \(n_i^{2}\))

               = 8 * 9.1 * \(10^{-31}\) * 1.3 * \(10^{-9}\) * 3 * \(10^{8}\) / 6.626 * \(10^{-34}\) ( \(2 ^{2} - 1^{2}\) )

               = 14.39 * \(10^{2}\) m

lambda 2 = 8 * 9.1 * \(10^{-31}\) * 1.3 * \(10^{-9}\) * 3 * \(10^{8}\) / 6.626 * \(10^{-34}\) ( \(3^{2} - 1^{2}\) )

                = 5.40 * \(10^{2}\) m

lambda 3 = 8 * 9.1 * \(10^{-31}\) * 1.3 * \(10^{-9}\) * 3 * \(10^{8}\) / 6.626 * \(10^{-34}\) ( \(4^{2} - 1^{2}\) )

                = 2.88 * \(10^{2}\) m

The three longest wavelengths permitted for the electron's de Broglie waves will be 14.39 * \(10^{2}\) m , 5.40 * \(10^{2}\) m and 2.88 * \(10^{2}\) m

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Answer:

0.5 kg

Explanation:

W = mg

4.9 = m(9.8)

4.9 = 9.8m

4.9/9.8 = m

m = 0.5 kg

Answer:B

Explanation:

They find that the gravitational force on the spaceship is inversely proportional to the distance from the Earth. The correct option is B.

The gravitational pull would be stronger if the gap were cut in half. Coulomb's law, states that the gravitational force between two items in the universe is directly proportional to the product of the masses of the objects.

And inversely proportional to the distance between them is used to calculate the gravitational force between two objects in the universe. Whether there is a body there or not, gravity is the force between two bodies.

Everybody in the cosmos is drawn to every other body by a force that is directly inversely correlated to the square of the distance between them and directly inversely correlated to the product of their masses.

Therefore, the correct option is B. inversely proportional to the distance from the Earth.

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Answer:

\( \large{ \tt{☄ \: EXPLANATION}} : \)

\( \large{ \tt{♨ \:LET'S \: START}} : \)

\( \large{ \boxed{ \tt{❁ \: ACCELERATION \: (a) = \frac{FINAL \: VELOCITY(v) - INITIAL \: VELOCITY(u)}{TIME \: TAKEN \: ( \: t \: )}}}} \)

- Plug the values & then simplify !

\( \large{ \bf{↬a = \frac{60 - 0}{300} = \frac{60}{300} = \boxed{ \bold{ \bf{0.2 \: m {s}^{ - 2} }}} }}\)

\( \large{ \tt{۵ \: AGAIN, \: USING\: SECOND \: EQUATION \: OF \: MOTION}} : \)

\( \boxed{ \large{ \bf{✾ \: s = \frac{u + v}{2} \times t}}}\)

- Plug the values & then simplify !

\( \large{ \bf{↦s = \frac{0 + 60}{2} \times 300 = \boxed{ \bold{ \bf{9000 \: m}}}}}\)

❃ The days that break you are the days that make you ! ♪

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Answer:

What she said is right I know it is

(a) The distance travelled by the object is  100 m.

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.

(a) The distance travelled by the object is calculated from the total area of the curve.

total distance = area of triangle 1 + area of triangle 2 + area of rectangle.

total distance = (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

total distance = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)

total distance =  60 m + 20 m + 20 m

total distance = 100 m

(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;

displacement = final position - initial position

displacement =  (¹/₂ x base x height)₁ +  (¹/₂ x base x height)₂ + length x width

displacement = (¹/₂ x 6 s x 20 m/s) +  (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)

displacement = 60 m - 20 m + 20 m = 60 m

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Answer:

(A) Gravity pulls the rock toward the center of the Earth.

Explanation:

Answer:

A. Neutrons have 0 Charge

Explanation

Neutrons have no charge for the same reason that plastics (and other insulators don't). They just don't.

"This isn't a great answer, but the thing with charge is that we don't really know what "charge" is. We know that certain "charged" objects will attract some objects, while repelling . We also know that other other "charged" objects will behave the same way, but when the two charged objects are brought together, they repell."

Answer:

The expected time is 2.28 hours.

Explanation:

The speed of storm = 35 km/hr

The distance between the house and the storm = 80 km.

Now, we have to find the time taken by storm to arrive at the house. Here, we can determine the time by dividing the distance with speed.

The time, taken by storm =  Distance/speed

The time, taken by storm = 80 / 35

The time, taken by storm = 2.28 hours.

Answer: Because your mass is so much less than the mass of the Earth,

Explanation:

You can't feel your gravitational force. Because the Earth's gravity has the same pull on every object, all objects fall at the same speed (in a vacuum). On Earth, we have air. Air resistance will cause some objects to fall more slowly than others will.

Hope it helps I had this question too!

Have a good day