Consider a ring, sphere and solid cyclinder all with the same mass. They are all held at the top of an inclined plane which is at 20° to the horizontal. The top of the inclined plane is 1 m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the objects roll without slipping and that they are all made from the same material. Assume the coefficient of static friction between the objects and plane to be 0.3.
a) workout what order

they would get to the bottom of the Slope.

b) How long will it take each shape to reach the bottom of the Slope ?

c) which shapes have the greater moment of inertia ?

d) determine the linear acceleration(a)
e) calculate the tangential (linear) Velocity
of each shapes-​

The weight of the pail and sand necessary to start the pumpkin moving in this case is less than 11 N.

The force of friction acting on the pumpkin depends on the weight of the pumpkin and the coefficient of static friction.

F = μW

where;

The weight of the pumpkin is calculated as follows;

W = mg

where;

W = 1.8 kg  x  9.8 m/s²

W = 17.64 N

The static friction force preventing the pumpkin from moving is calculated as follows;

F = μW

F = 0.55 x 17.64 N

F = 9.7 N

Thus, the minimum force required to move the pumpkin is 9.7 N which is less than 11 N.

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The complete question is blow:

Suppose the coefficient of static friction is 0.55 rather than 0.61. is the weight of the pail and sand necessary to start the pumpkin moving in this case greater than, less than or equal to 11 N? calculate the required weight. mass of the pumpkin is 1.8 kg.

Answer:

14.896 x 10^-24

Explanation:

The final velocities of the car and truck just after the collision will be as per the conservation of momentum.

Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].

According to conservation of momentum, Initial momentum will be equal to the final momentum. In the elastic collision there is no loss of energy, both energy and momentum is conserved.

if the the car is coming with velocity equal to the mass of the truck and truck is coming with mass of the car, then they have same momentum in opposite direction when they collide each other the final velocity of both car and truck becomes zero.

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Answer:

more pressure towards one side

Explanation:

if Carol pulls very hard and molly pulls even harder molly will win because she is putting more pull force than Carol

According to Ohm's Law, the resistance R of a resistor, the voltage V supplied to the resistor and the current I flowing through the resistor are related through the equation:

If a current of 0.9A flows through a resistance of 110Ω, then the voltage supplied to the resistance can be calculated as:

Therefore, the voltage supplied to the circuit is 99 Volts.

When a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.

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Answer:

identify who they are as a person

Explanation:

Answer: D

X and Y

Explanation:

X The least amount of magnesium Took in magnesium

Y Slightly less magnesium than the cell Took in magnesium

Because active transport occurs when ions or molecules move from less concentration region to high concentration region through semi membrane with the help of some energy.

Answer:

Cells X and Y

Explanation:

Active transport occurs when a substance moves across a membrane against its concentration gradient.

Cells W and Z were placed in a liquid containing more magnesium than the cells. Magnesium therefore, diffuses passively down it's concentration gradient into the cells.

However, cells X and Y were placed in a solution containing less magnesium than the cells, yet these cells took in magnesium against this concentration gradient. This, shows that active transport had taken place.

Answer:

tough

ques

Explanation:

Answer:10

Explanation: Acceleration of car is given by a= v^2/r, v= 50m/s, r= 250m a= 10 m/s^2 2

In the "explain" portion of the assignment, you are required to provide a detailed and coherent explanation of a particular topic, concept, or process.

This section aims to demonstrate your understanding and knowledge of the subject matter. Here's how you can approach writing the explanation:

1. Introduction: Begin by introducing the topic or concept you are explaining. Provide some background information to set the context and establish its relevance.

2. Main Body: Break down the topic into smaller, logical sections or steps. Present each section in a clear and organized manner. Use paragraphs or bullet points to enhance readability. Use examples, analogies, or visual aids if necessary to clarify complex ideas.

3. Use Clear Language: Ensure that your explanation is written in clear, concise language. Avoid jargon or technical terms unless they are necessary and properly explained. Use simple language that your intended audience can easily understand.

4. Provide Supporting Details: Include relevant facts, evidence, or research to support your explanation. This can help strengthen your arguments and make your explanation more credible.

5. Summary and Conclusion: Summarize the key points of your explanation and reiterate the main concept or process. If appropriate, highlight any implications or applications of the topic.

6. Proofread and Revise: After writing the explanation, proofread it for clarity, grammar, and coherence. Make any necessary revisions to ensure that your explanation is well-written and effectively conveys the intended information.

Remember to adapt your writing style and level of complexity based on the target audience and the level of prior knowledge they may have on the topic.

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Answer:

It is because one cannot know exactly the position of the electron within the atom.

One formulation of Heisenberg's Uncertainty Principle tells us that one cannot know simultaneously  the position and momentum of the electron, so one cannot specify exactly either coordinate because the other would be infinite.

Bohr specified the most probable position of the electron at its lowest energy level in hydrogen and the product of the two would be about the Heisenberg value.  

Answer:40 miles/hour

Hi there!

To solve, we must begin by calculating the total WORK done on the object.

W = F · d (Force · displacement)

Plug in the given values. Remember to convert km to m:

1 km = 1000 m

0.6 km = 600 m

W = 60 · 600 = 36000 J

Now, we can solve for power:

P = W/t

Convert minutes to seconds:

1 min = 60 sec

20 min = 1200 sec

P = 36000/1200 = 30 W ⇒ Choice D.

The Ceres is (a).The largest asteroid identified to date is correct option.

With a diameter of around 590 miles (940 km), Ceres is the biggest asteroid between Mars and Jupiter. It is regarded as a minor planet, like Pluto, and was found in 1801 by Giuseppe Piazzi. Ceres is made of rock and ice, and due to its low density, it is likely that it contains a substantial amount of water ice inside.

The NASA Dawn spacecraft visited Ceres in 2015 and orbited the dwarf planet for more than three years, gathering useful information and taking stunning pictures of it.

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The methods to determine the specific charge of an electron are The J. J. Thomson Method and The Millikan Oil Drop Method.

The J. J. Thomson Method

In this method, an electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen. When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force, which is given by the formula: $F= evB$ $F= evB$

When a magnetic field is applied at right angles to an electron beam, it bends the path of the beam into a circular path. The radius of the path of an electron beam in a magnetic field is determined by the relationship:r = mv/eB. As a result, the specific charge of an electron may be calculated from the expression: $e/m = 2V / B^2r^2$

The Millikan Oil Drop Method

This is another technique for determining the specific charge of an electron. The oil drop experiment was first done by Robert A. Millikan in 1909. He did this experiment by suspending charged droplets of oil in a uniform electric field between two parallel plates.

The fall of the oil droplets in the absence of an electric field was also noted. The fall velocity of the oil droplet was determined by measuring the time taken by the oil droplet to pass through a fixed distance between the plates in the absence of an electric field. By measuring the electric field strength, the voltage applied to the plates, and the fall velocity of the oil droplet, the specific charge of the electron was determined.

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The methods to determine the specific charge of an electron are :

In the J. J. Thomson Method, an  electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen.

When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force.

The Millikan Oil Drop Method is an experiment by which is created by suspending charged droplets of oil in a uniform electric field between two parallel plates.

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The velocity of the wave at point S, given the speed and the distance change, is 6 cm/s.

The wavelength of the wave at point R is 3. 0 cm, and the frequency of the wave is:

= 12 cm / s / 3. 0 cm

= 4 Hz

The wavelength of the wave at point S is 1. 5 cm, and the frequency of the wave is still 4 Hz .

The velocity of the wave at point S is therefore:

= 4 Hz x 1. 5 cm

= 6 cm / s

In conclusion, the velocity of the wave at point S is 6 cm / s.

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Answer:

S = 16.3125m

Explanation:

Given the following data;

Acceleration, a = 14.5m/s²

Time, t = 2.25secs

Since the bottle rocket starts from rest, its initial velocity is 0m/s.

To find the distance S, we would use the second equation of motion.

S = ut + ½at²

Substituting into the equation, we have

S = 0(2.25) + ½*14.5*2.25

S = 0 + 7.25*2.25

S = 16.3125m

Therefore, the bottle rocket covered a distance of 16.3125 meters.

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Energy burn by the weightlifter = potential energy

Potential energy = mgh

Potential energy = 25.(9.8)(0.50)

Potential energy = 122.5 Joule.

Assume 25% of efficiency so energy burn = 122.5*25/100

energy burn = 30.625 joule

Number of times = 1260/30.625

Number of times = 42 times.

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

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Explanation:

A circuit breaker is an electrical switch designed to protect an electrical circuit from damage caused by overcurrent/overload or short circuit. Its basic function is to interrupt current flow after protective relays detect a fault.

Circuit breakers have been designed to detect when there is a fault in the electricity, so it will “trip” and shut down electrical flow. ... This detection is key to preventing surges of electricity that travel to appliances or other outlets, which can cause them to break down

Answer:

average acceleration = 6 \(\frac{m}{s^2}\)

Explanation:

Recall that the average acceleration \((a)\)  is defined by the change in velocity from an initial velocity \((v_i)\), to a final velocity \((v_f)\) over the time (t) it took that change to happen. Then, in mathematical terms this is:

\(a=\frac{v_f-v_i}{t}\)

with our information this becomes:

\(a=\frac{v_f-v_i}{t} = \frac{100-40}{10}=6\,\frac{m}{s^2}\)

Given that,

The acceleration of gravity is -9.8 m/s²

Initial velocity, u = 39.2 m/s

Time, t = 2 s

To find,

The final velocity of the shot.

Solution,

Let v is the final velocity of sling shot. Using first equation of motion to find it.

v = u +at

Here, a = -g

v = u-gt

v = (39.2)-(9.8)(2)

v = 19.6 m/s

So, its velocity after 2 seconds is 19.6 m/s.

Objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be four units.

Coulomb's law can be expressed as:

F = k × (q1 × q2) / r²

In which:

F = electrostatic force

k = electrostatic constant (k = 9 × 10⁹ N·m²/C²)

q1 and q2 = the charges of the objects

r =  distance between the objects

Let's consider that the initial electrostatic force in between objects 1 and 2 is 36.0 units.

F1 = 36.0 units

Next, if the distance is considered between the objects is tripled, the new distance (r') changes into three times the initial distance (r):

r' = 3 ×  r

To determine the new electrostatic force (F'), replacement r' into Coulomb's law:

F' = k  × (q1  × q2) / (r')²

Place r' = 3r:

F' = k × (q1 × q2) / (3r)²

= k × (q1 × q2) / 9r²

The new force will be one-ninth (1/9) of the initial force since the electrostatic force (F') is directly proportional to (q1 q2) and inversely proportional to r2.

F' = (1/9) ×  F1

= (1/9) × 36.0

= 4.0 units

Thus, objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be 4 units.

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Answer:

Maximum height = 2040 m

Explanation:

We can solve the problem using kinematics.

Consider the vertical motion of the object and use the equation:

\(\boxed{v^2 = u^2 + 2as}\)

where:

• v = final velocity      (0 m/s, because when the object is at max. height, it has no vertical velocity)

• u = initial velocity    (400sin30° m/s ⇒ vertical component of 400 m/s at 30° to horizontal)

• a = acceleration      (-9.81 m/s²; considering upward acceleration to be negative)

• s = displacement    (? m; this represents the max. height of the object),

Substitute the values into the equation and solve for s :

\(0^2 = (400 sin (30 \textdegree))^2 + 2(-9.81)(s)\)

⇒ \(2(9.81)(s) = (400 sin (30 \textdegree))^2\)

⇒  \(s = 2040 \space\ m\)     (3 s.f.)

Answer:

\(F = BIl\)

F » magnetic force

B » magnetic flux density

l » length / circumference

\(F = BI(2\pi r)\)

r » radius

\(F = 2 \times 5 \times (2 \times 3.14 \times 0.05) \\ { \underline{force = 3.14 \: \: newtons}}\)

The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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The net force is zero because it is moving at a constant speed. So, in the horizontal direction = 0. This will happen if the horizontal component of T, Tcos0 is equal to the frictional force.

It acts in a direction that is opposite to the motion or attempted motion of an object. Frictional force is caused by the microscopic irregularities on the surfaces that are in contact. The strength of the frictional force depends on the types of materials in contact and the amount of force pressing the two surfaces together.

An example of friction is when you try to slide a book across a table. The table exerts a frictional force on the book in the opposite direction of the motion, making it harder to slide the book. Another example is when you try to walk on a slippery surface, such as ice, the friction between your shoes and the ice is reduced, making it harder to walk. Friction also plays a role in many everyday activities such as driving a car, using a pencil, and even typing on a keyboard.

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The current in the series circuit  across a 9.0 V potential difference is determined as 0.333 A.

The current in the series circuit is determined by applying ohms law as shown below;

V = IR

where;

R = 12 Ω  + 15 Ω  = 27 Ω

I = V/R

I = 9/27

I = 0.333 A

Thus, the current in the series circuit  across a 9.0 V potential difference is determined as 0.333 A.

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Value of M (mass of other block) in the mention pulley system is 3.68 kg.

Tension is the contact force transmitted when the force on both ends pulls on a rope, cord, wire, etc.

For example, a tire swing hanging from a tree creates tension in the rope that holds the swing to the branch. Pulling at the bottom of the rope is due to gravity, while pulling up is due to the branches resisting rope pull. The pulling force acts along the length of the rope and acts evenly on the objects (tires and branches) at both ends. At the hoop, the pull is upward (because the tension in the rope holds the hoop up), but at the branch the pull is downward (a taut rope pulls the branch down).

Let's calculate acceleration:

S = ut + ¹/₂ at²

Where, s = 50 cm or 0.5 m

u = 0 m/s

t = 1.0 second

Now, substitute the values:

0.5 = 0 × 1 + ¹/₂ a × 1²

0.5 = ¹/₂ a

a = 1 m/s²

Now for tension force following are the equations:

T = ma + mg

T = Mg - Ma

ma + mg = Mg - Ma

Where, T = Tension force

m = 3 kg

a = 1 m/s²

g = 9.8 m/s²

M = To be calculated

a = (Mg - mg)/(M + m)

1 = (M × 9.8 - 3 × 9.8)/(M + 3)

1(M + 3) = 9.8 M - 29.4

M + 3 = 9.8 M - 29.4

29.4 + 3 = 9.8 M - M

32.4 = 8.8 M

M = 32.4/8.8

M = 3.68 kg

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The complete question is as follows:

The system shown below is released from rest and moves 50 cm in 1.0 second. What is the value of M? All surfaces are frictionless.

Here you go...

The speakers provide an enforcement role in the community and the people automatically obey them.

In the community, everyone’s every move is watched all of the time.  Community rules are reinforced by constant video surveillance.  When a person is seen breaking a rule, the voice over the speaker will remind...