Which ball has larger Inertia before touching the ground when it falls freely from a
certain height (air friction is zero)
a. mass 50 kg b. mass 25 kg
c. mass 10 kg d. All of these

Answer:

Explanation:

In a battery charger (for an auto).

As a replacement for any bulb in an auto.

As a lamp in an emergency exit where the power must be shut off.

As a light that illuminates the back of a truck, turned on when loading the truck.

Answer:

If we want to change the kinetic energy of a massive object, we must do work on it. For example, in order to lift a heavy object, we must do work to overcome the force due to gravity and move the object upward. If the object is twice as heavy, it takes twice as much work to lift it the same distance.

Explanation:

Answer:

a. 6.39 s b. 255.6 m c. 62.6 m/s

Explanation:

a. Find the time it takes to hit the ground.

Using y = ut + 1/2gt² where y = height of cliff = 200 m, u = initial vertical velocity of ball = 0 m/s, g = acceleration due to gravity = 9.8 m/s² and t = time taken for ball to hit the ground.

So, substituting the values of the variables into the equation, we have

200 m = 0 m/s × t + 1/2 × 9.8 m/s² × t²

200 m = 0 + (4.9 m/s²)t²

200 m = (4.9 m/s²)t²

dividing both sides by 4.9 m/s², we have

t² = 200 m ÷ 4.9 m/s²

t² = 40.82 s²

taking square root of both sides, we have

t = √(40.82 s²)

t = 6.39 s

b. Find the RANGE, distance traveled horizontally.

The range is the horizontal distance traveled by the ball, R = vt where v = horizontal velocity of ball = 40 m/s and t = time taken for ball to hit the ground = 6.39 s

So, R = vt

= 40 m/s × 6.39 s

= 255.6 m

c. Find the final vertical velocity.

Using v = u - gt where u = initial vertical velocity of ball = 0 m/s, v = final velocity of ball, g = g = acceleration due to gravity = 9.8 m/s² and t = time taken for ball to hit the ground = 6.39 s.

So, substituting the values into the equation, we have

v = 0 m/s - 9.8 m/s² × 6.39 s

v = -62.62 m/s

v ≅ -62.6 m/s

Answer:

K.E = 100 J

Final P.E = 100 J

Explanation:

The kinetic energy of any object can be given by the following formula:

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

where,

K.E = Kinetic Energy

m = mass of ball = 2 kg

v = speed of ball

Initially, v = 10 m/s. Therefore, the initial K.E is given as:

[tex]K.E = (\frac{1}{2})(2\ kg)(10\ m/s)^{2}[/tex]

K.E = 100 J

Now, at the highest point the K.E of the ball becomes zero. because the ball stops for a moment at the highest point and its velocity becomes zero. So, from Law of Conservation of energy:

Initial K.E + Initial P.E = Final K.E + Final P.E

Initial P.E is also zero due to zero height initially.

K.E + 0 = 0 + Final P.E

Final P.E = 100 J

Answer:

Option (4)

Explanation:

Given polynomial is,

P(x) = 1x³ - 7x² + 2x + 40

If (x - 5) is a factor of the given polynomial,

Synthetic division by x = 5,

5 |  1    -7     2     40

    ↓    5   -10   -40

     1    -2    -8      0

Therefore, factored form of the polynomial will be,

P(x) = (x - 5)(x²- 2x - 8)

Now we further factorize the expression (x² - 2x - 8),

(x² - 2x - 8) = x²- 4x + 2x - 8

                  = x(x - 4) + 2(x - 4)

                  = (x + 2)(x - 4)

Now fully factored form of the polynomial will be,

P(x) = (x - 5)(x + 2)(x - 4)

Therefore, remaining factors of the polynomial other than (x - 5) are (x - 4)(x + 2)

Option (4) will be the correct option.

Answer:

m/s^-30

Explanation:

Answer: 4V

Explanation:

If 300j of energy is available for every 75c of charge, the voltage will be calculated by dividing the available energy by the charge. This will be:

= 300 / 75

= 4v

Therefore, the potential Difference will be 4V.

Answer:

You have the answer in your comments. I will be copying it so your question doesn't get deleted.

The answers is $0.58

$11.48

the video tape

the new shirt

Answer:

350Joules

Explanation:

According to law of Conservation of energy, the amount of energy at the used up at the start is equal to that at the end.

The initial energy used up is gravitational potential energy

Final energy at the lowest point is kinetic energy.

If the energy is conserved then it means energy is not used up during the process hence;

Initial Potential energy = Final kinetic energy

If the gravitational potential energy is 350Joules then her final kinetic energy at the lowest point will also be 350Joules

Answer:

B

Explanation:

In a collision some of the kinetic energy of the object convert into thermal energy and sound. It's not so easy to measure thermal and sound energy. That's why it's difficult to use law of conservation of energy.

Alert: Energy is always conserved.

Answer:

Fr = 26.83 [N]

Explanation:

To solve this problem we must use the Pythagorean theorem, since the forces are vector quantities, that is, they have magnitude and density. Therefore the Pythagorean theorem is suitable for the solution of this problem.

[tex]F_{r}=\sqrt{(12)^{2}+(24)^{2} } \\F_{r}=26.83[N][/tex]

To Find :

The acceleration of the heavier object.

Solution :

Force of gravitation on lighter object by heavier object is :

[tex]F = \dfrac{Gm(4m)}{100^2}[/tex]

Acceleration of lighter object is given by :

[tex]a_s = \dfrac{4Gm}{100^2}\\\\m = \dfrac{50^2}{G}[/tex]          .....1)

Now, acceleration of heavier object when separation between them is 25 km :

[tex]4ma_h = \dfrac{Gm(4m)}{25}\\\\a_h = \dfrac{Gm}{25}[/tex].....2)

Putting value of m in equation 2, we get :

[tex]a_h = \dfrac{G\times 50^2}{G \times 25}\\\\a_h = \dfrac{2500}{25}\\\\a_h = 100\ m/s^2[/tex]

Therefore, the acceleration of the heavier object is​ 100 m/s².

Answer:

cell membrane- controls what goes in and out of a cell

cell wall- protects DNA and other organelles inside a cell

ribosomes-makes and produces proteins

Answer:

t = 16.5 s

Explanation:

First we apply first equation of motion to the accelerated motion of the rocket:

[tex]v_{f1} = v_{i1} + at_{1}[/tex]

where,

vf₁ = final speed of rocket during accelerated motion = ?

vi₁ = initial speed of rocket during accelerated motion  = 0 m/s

a = acceleration of rocket during accelerated motion = 30 m/s²

t₁ = time taken during accelerated motion = 4 s

Therefore,

[tex]v_{f} = 0\ m/s + (30\ m/s^2)(4\ s)\\\\v_{f} = 120\ m/s[/tex]

Now, we analyze the motion rocket when engine turns off. So, the rocket is now in free fall motion. Applying 1st equation of motion:

[tex]v_{f2} = v_{i2} + g t_{2}[/tex]

where,

vf₂ = final speed of rocket after engine is off = 0 m/s

vi₂ = initial speed of rocket after engine is off  = Vf₁ = 120 m/s

g = acceleration of rocket after engine is off = - 9.8  m/s² (negative sign for upward motion)

t₂ = time taken after engine is off = ?

Therefore,

[tex]0\ m/s = 120\ m/s + (- 9.8\ m/s^2)(t_{2})\\\\t_{2} = \frac{120\ m/s}{9.8\ m/s^2}\\\\t_{2} = 12.25\ s[/tex]

So, the time taken from the firing position till the stopping position is:

[tex]t = t_{1} + t_{2}\\\\t = 4 s + 12.5 s[/tex]

t = 16.5 s

Answer:

1:4

Explanation:

The formula for calculating the maximum height of the ball is expressed as;

H = u²sin²theta/2g

If a ball is thrown vertically upward with a speed v, its maximum height is expressed as;

H = v²sin²90/2g

Since sin90 = 1

H = v²/2g.... 1

If an identical second ball is thrown upward with a speed of 1/2 v, then the maximum height will be expressed as;

H1 = (1/2v)²sin²90/2g

H1 = (v²/4)(1)/2g

H1 = v²/8g ...... 2

Divide both equations

H/H1 = (v²/2g)/(v²/8g)

H/H1 = v²/2g × 8g/v²

H/H1 = 8g/2g

H/H1 = 4

Reciprocate both sides

H1/H = 1/4

H1:H = 1:4

Hence the ratio of the maximum height of the second ball to that of the first ball is 1:4

Answer:

Force = 35 N

Explanation:

From Newton's third law of motion, the boy must apply a force greater than the weight of the sled to lift it.

weight of sled = mg

where m is its mass and g the force of gravity on it.

weight of sled = 50 N

Force applied by the boy on the sled = 15 N

Since the force applied on the sled by the boy is lesser than the weight of the sled, then;

Force that the sled exerts on the student = 50 - 15

                                             = 35 N

The force exerted by the sled on the student is 35 N.

The answer would have to be 8.47 m/s/s because the backwards pull + the rate of speed it is going would have to be added to get the answer to compensate for the backwards pull

Complete Question

An unknown material, m1 = 0.41 kg, at a temperature of T1 = 86 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.7 kg of water at T2 = 22 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 30.3 degrees C.

Part (a) Input an expression for the specific heat of the unknown material.

Part (b) What is the specific heat in J/(kg⋅K)?

Answer:

a

    [tex]c = \frac{m_2 * c_w (T - T_2)}{m_1 * (T_1 - T) }[/tex]

b

  [tex]c = 2587.14 \ J /(kg \cdot K)[/tex]

Explanation:

From the question we are told that

    The mass of the material is  [tex]m_1 = 0.41 \ kg[/tex]

     The temperature is  [tex]T_1 = 86 ^oC[/tex]

      The mass of water is  [tex]m_2 = 1.7 \ kg[/tex]

      The temperature of water is  [tex]T_2 = 22^oC[/tex]

      The specific heat of water is  [tex]c_w = 4186 \ J/(kg\cdot K)[/tex]

       The temperature of the system is  [tex]T= 30 .3^o C[/tex]

Generally heat lost by the unknown material =  heat gained by water

Generally the heat gained by water is mathematically represented as  

        [tex]Q_2= m_2 * c_w (T - T_2)[/tex]

=>      [tex]Q_2= 1.7 * 4186 (30.3 - 22)[/tex]

=>      [tex]Q_2= 59064.46 \ J[/tex]

Generally the heat lost by the unknown material  is mathematically represented as        

        [tex]Q_1= m_1 * c* (T_1 - T)[/tex]

        [tex]m_2 * c_w (T - T_2) = m_1 * c* (T_1 - T)[/tex]

=>       [tex]c = \frac{m_2 * c_w (T - T_2)}{m_1 * (T_1 - T) }[/tex]

Here  c is the specific heat capacity of the unknown material

=>      [tex]Q_1= 0.41 * c (86 - 30.3)[/tex]

=>      [tex]Q_1= 22.83 c[/tex]        

So

           [tex]59064.46 = 22.83 c[/tex]

=>         [tex]c = \frac{59064.46 }{ 22.83}[/tex]

=>         [tex]c = 2587.14 \ J /(kg \cdot K)[/tex]

Answer:the nervous system

Explanation:

Anatomy vs Physiology as the Anatomy is the study of the structure of living organisms, while Physiology is the study of the function of living organisms.

Nervous System the nervous system integrates and controls the body's functions through electrical and chemical signaling. Anatomy focuses on the physical makeup of living organisms and their components, such as organs, tissues, and cells.

This includes the external and internal structures of the body, as well as the relationships between these structures. On the other hand, Physiology examines how living organisms perform the functions necessary for life, such as respiration, digestion, circulation, and movement.

Physiology explores the processes and mechanisms behind these functions, including biochemical reactions, electrical and mechanical events, and hormonal regulation.

The nervous system consists of the brain, spinal cord, and a network of nerves that extend throughout the body. It is responsible for collecting, processing, and transmitting information about the internal and external environment to the rest of the body.

The nervous system also regulates the activity of other systems in the body, such as the endocrine, cardiovascular, and respiratory systems.

To know more about function of nervous system here:

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Answer:

Very big.

Explanation:

Very big reduction occurs in insulin production when a person did not sleep in 24 hours. Due to lack of sleep, reduction occurs in the production of insulin by the pancreas. Insulin is a hormone that is responsible for metabolizing sugar in the blood and if insulin is not secreted by the pancreas in normal concentration so the person get diabetes disease due to increasing amount of glucose in the blood.

Answer:

The magnitude of change in the ball's momentum is 4 kgm/s

Explanation:

Given;

mass of the ball, m = 0.2 kg

initial velocity of the ball, u = 40 m/s

final velocity experienced by the ball, v = 60 m/s

Therefore, the change in momentum of the ball is given as final momentum minus initial mometum;

ΔP = mv - mu

ΔP = m(v-u)

ΔP = 0.2 (60 - 40)

ΔP = 4 kgm/s

Therefore, the magnitude of change in the ball's momentum is 4 kgm/s

The magnitude of the change in the momentum of the baseball is 4 kgm/s.

To solve the problem above we need to use the formula of change in momentum

Change in momentum: This can be defined as the product of the mass and the change in velocity of a body.

The formula of change in momentum is

M = m(v-u).................. Equation 1

Where M = change in momentum, m = mass of the baseball, v = final velocity of the baseball, u = initial velocity of the baseball.

From the question

Given:

Substitute these values into equation 1

Hence, The magnitude of the change in the momentum of the baseball is 4 kgm/s

Learn more about change in momentum here: https://brainly.com/question/11789105

Answer:

The experimental setup, with car 1 is at the top of a ramp and car 2 at the bottom of the ramp  is explained below in details.

Explanation:

The meter pole should be located at the opening location of car second at the bottom of the ramp so that it regulates the portion of car second that will finish up the most distant away from the bottom of the ramp.

So, I think now you got your answer which is absolutely correct and it will help you.

Answer:

hello my good friend

Explanation:

Ribosomes, endoplasmic reticulum, vesicles, and the Golgi apparatus are the organelles present in the eukaryotic cell. They are involved in various roles and functions involving proteins.

Ribosomes are the organelles involved in the transcription and translation process to synthesize proteins and transport them from ER to the vesicles. The endoplasmic reticulum (ER) is a membraneous structure that along with ribosomes is involved in lipid and protein synthesis.

The proteins synthesized from ER are transported to the Golgi body through the vesicles. They even eliminate the waste from the cell. The Golgi apparatus receives proteins from ER and then packs, modifies, and transports them to the target location.

Therefore, the ER, ribosomes, Golgi, and vesicles are involved in protein synthesis and transportation.

Learn more about cell organelles, here:

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Answer:

a = - 0.209 [m/s²]

Explanation:

To solve this problem we must use Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

We will take the positive forces to the right and the negative forces to the left.

[tex]155-277+113=43*a\\-9=43*a\\a = - 0.209[m/s^{2} ][/tex]

The negative sign means that the box accelerates in a negative direction to the left.

Answer:

The Enlightenment.

Explanation:

The Enlightenment took place during the eighteen century and it typically involved a period of philosophical, cultural and intellectual movement in which ideas on nature, reason, humanity and God were emphasized on greatly over science and superstition through meetings that were held at coffeeshops, scientific academies, literary salons, masonic lodges, etc. Some of the influential philosophers of the enlightenment were Adam Smith, John Locke, Jean Jacques Rousseau, David Hume, Baruch Spinoza, Montesquieu, Hugo Grotius, Denis Diderot, Gottfried Wilhelm, Cesare Beccaria, Immanuel Kant etc. The enlightenment was also known as the age of reason or the age of enlightenment.

Hence, the enlightenment was a period in European history when many educated people stressed the importance of learning and reasoning; education was considered the key to understanding and solving society's problems.

Explanation:

Work done = F * d = 100N * 0.5m = 50J.