Equal masses of two different liquids are put into identical beakers.
Liquid 1 is heated for 100s and liquid 2 is heated for 200s by heaters of the same power.
The temperature of both liquids increases by the same amount.
Which statement is correct?
A Both liquids receive the same amount of energy.
B. Liquid 1 receives more energy than liquid 2.
C. Both liquids have equal thermal capacity.
D. The thermal capacity of liquid 1 is less than the thermal capacity of liquid 2.

a) Magnitude of force is 5.37N

b) Angle of force is - 37.88°

In physics, we define a force is an influence that can change the motion of object. A force can cause an object with mass to change to accelerate.

Given force from above is 5.9N

∑Fₓ = F₁ₓ + F₂ₓ+F₃ₓ = 0

F₂ cos 44° + Fₓ = 0

Fₓ = - 5.9 cos44°

= - 4.24  N

Given force that acts downward as 7.4N

∑Fy= Fy1+ Fy2 +Fy3 =0

Fy+ 5.9 sin 44° - 7.4= 0

F =  3.30 N

F =√Fₓ² +Fy²

=  5.37 N

b)  angle of force= tan⁻¹ (3.30/-4.24)

= - 37.88°

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Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

Vessel Mass Acting Downward (mg)

Bayonet Force Acting Above Vessel (Fb)

This force is called buoyancy. Buoyancy pushes objects up. Gravity exerts a downward force on an object determined by the object's mass. Therefore, if the downward force exerted by gravity on an object is less than the buoyant force the object floats.

Since the buoyant force on the body and the weight of the body are equal and opposite, the net force on the body is zero, giving the body a net force to levitate. The wind force acting on a sail moving a boat is an example of Newton's third law of motion. That is, every action has an equal and opposite reaction. But the relationship between force and motion is not as simple as the wind blowing just behind the sails propels the ship forward.

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Answer:

\(F = kx \\ k = \frac{F }{x} \)

so the answer is a

Answer:

Slow down, stop, speed up.

It slows due to gravity (acting against gravity due to upward motion), stops because at maximum height vertical velocity is zero and the body has only the horizontal velocity, speed up due to action of gravity on the body due to downward motion.

Differentiation

Derivative Rule [Basic Power Rule]:

\(\displaystyle\begin{aligned}f(x) & = cx^n \\f'(x) & = c \cdot nx^{n - 1} \\\end{aligned}\)

Derivative Rule [Chain Rule]:
\(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Let's define what the problem gives us:

We know from our trigonometric derivatives that the derivative of \(\displaystyle \sin x\) is equal to \(\displaystyle \cos x\). However, since we have some arbitrary constant \(\displaystyle a\) multiplying \(\displaystyle x\) inside our \(\displaystyle \sin x\) function, we will have to apply the derivative rule of Chain Rule:

\(\displaystyle\begin{aligned}y & = \sin ax \\y' & = \boxed{ \cos (ax) (ax)' } \\\end{aligned}\)

To further simply the derivative, we now apply the derivative rule of Basic Power Rule and simplify:

\(\displaystyle\begin{aligned}y & = \sin ax \\y' & = \cos (ax) (ax)' \\& = (ax)' \cos ax \\& = 1 \cdot ax^{1-1} \cos ax \\& = ax^0 \cos ax \\& = \boxed{ a \cos ax } \\\end{aligned}\)

∴ the derivative of the function \(\displaystyle y = \sin ax\) is equal to \(\displaystyle \boxed{ y' = a \cos ax }\).

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Topic: Calculus

Unit: Differentiation

The total quantity of an economy's final goods and services demanded at different inflation rates is the aggregate demand curve.

The total amount spent in an economy on domestic goods and services is known as aggregate demand, or AD. AD is technically what economists refer to as total planned expenditure. Consider aggregate demand to be total spending for the time being; we'll go into more detail about it in later articles.

All four elements of demand are included in aggregate demand:

The price level is one of several variables that affect this desire. The entire amount spent on domestic products and services at each price level is displayed on an aggregate demand curve.

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Answer:

the Joule (J)

Explanation:

Answer:

The official measurement unit for energy is the Joule (J). Among the most common units measuring energy mention should be made of the kilowatt/hour (kWh), used especially for electric energy (in fact it is used to calculate electricity bills).

Explanation:

hope it helps

The material that obeys Hooke's law is elastic material.

Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula  F = kX

F is the force, x is the deformation, and k is the spring constant.

Elastic materials are able to return to their original shape after being deformed by a force.

The amount of deformation is noted to be directly proportional to the amount of force applied.

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The time taken for the train to stop is 8.9 seconds.

The distance traveled by the train during acceleration is 9,984 m.

The distance traveled by the train during deceleration is 17.8 m.

Use the following kinematic equation to determine the time taken for the train to stop.

v = u + at

where;

0 = 4 - 0.45t

0.45t = 4

t = 4/0.45

t = 8.89 seconds = 8.9 seconds

s = ut + ¹/₂at²

where;

s = (4)(480) +  ¹/₂(0.07)(480)²

s = 9,984 m

s = ut + ¹/₂at²

s = (4 x 8.9) + ¹/₂(-0.45)(8.9)²

s = (4 x 8.9) - ¹/₂(0.45)(8.9)²

s = 17.8 m

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answer: this object is stationary because it is in rest position until or unless the external force act on it we can say this by netwons 1st law

and the stationaty object has relatively zero velocity.

netwons 1st law: Newton's first law states that unless compelled to change its state by the action of an external force, every object will remain at rest or in uniform motion in a straight line.

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 2. here the object has contact with the wall hence there is a  normal force between clock and wall  

the clock is at rest this means that the forcee is balanced and normal force is balanced by gravitational force .the normal force is always perpendicular to the surface of the object.

there is no external force is acting on the clock.

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Answer:

Ocean Liner because its mass is 5000 times more and the bullet's velocity squared is only 1600 times more. This means that the kinetic energy of the ocean liner will be roughly 3 times greater.

Explanation:

The kinetic energy of an object is dependent on mass and velocity.

E = ( 1 / 2 )mv²;

Energy is measured in Joules which is equal to kilogram metres squared per second squared.

1J = ( kg )( m² )( s⁻² ) or 1J = ( kg )( m² ) / ( s² )

We can substitute the mass and velocity directly into the equation because the question gives the values in metres and kilograms.

BULLET:

E = ( 1 / 2 )( 0.0014kg )( 397m / s )²;

E = ( 0.0007kg )( 157609m² )( s⁻² );

E = 110.3263kgm²s⁻²;

E = 110.3263J;

I will just skip some steps because you get the idea.

OCEAN LINER:

E = ( 1 / 2 )( 5.9107kg )( 13m / s )²;

E = 499.45415J;

Answer:

1.16kg is the answer. Hope this helped

Explanation:

nice, hey could u look at my recent question

Answer:

Problem:

a 5 kg dog jumps on table with a mass of 30 kg what is the average force that the table applies to the dog.

Note:

What ever is the force applied by the dog to the table, it will be the same force exerted by the table to the dog but in opposite direction. Study on the Newton's Third law of motion

Given Data:

m ( mass ) = 5 kg

a ( acceleration ) = 9.8 m/s²

F ( Force ) = ? unknown

Solution:

We will use the formula of Force ( F = m × a ) in order to solve the problem.

F = m × a

= 5 kg × 9.8 m/s²

= 49 kg·m/s²

= 49 N

Answer:

The table will exert 49 N of Force to the dog

Senator Naismith's argument is not convincing because he committed a fallacy of hasty generalization.

This is referred to as a form of disagreement between two or more parties and statements are usually used in this scenario so as to determine the truth about the subject topic. Arguments can be written or being spoken depending on the condition at that point in time.

In Senator Naismith argument, he mentioned that "everyone knows that poop does not contain anything healthy" which is fallacy of generalization and is not a valid claim due to it not being proved and was only used in that context.

This is therefore the reason why the Senator's argument was regarded as not being convincing and is therefore the reason why it was chosen as the correct choice.

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The circulatory system (cardiovascular system) pumps blood from the heart to the lungs to get oxygen

The heart, blood arteries, and blood make up the cardiovascular system. Its main job is to carry de-oxygenated blood back to the lungs and to carry nutrients and oxygen-rich blood to all regions of the body. Serious health issues may arise from abnormalities or damage to any one or all of the cardiovascular system's components. Coronary artery disease, heart attacks, high blood pressure, and stroke are common disorders that can have an impact on the cardiovascular system. In the body, there are two blood circulation systems. The systemic circulatory system comes initially. This is the primary blood circulation system that carries blood to all of the body's organs, tissues, and cells.

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No, the youngster is mistaken. The leaf won't float to the edge of the pond due to the stone's waves.

When a stone is put into a body of water, it creates waves that change in a stunning pattern, radiating outward from a centre that eventually goes still. The growing ring is referred to as a wave packet.

A circle-shaped pattern of ripples is created on the water's surface when a stone is tossed into stillness. The particles vibrate due to the stone's kinetic energy. The particles in the subsequent layers receive the energy.

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Time of flight = 1.6 s

Horizontal distance = 64 m

Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.

For the given case,

h = vt + ¹/₂gt²

h = height of tower

v = initial velocity

t = time of flight

55 = 50sin30t + ¹/₂9.8t²

55 = 25t + 4.9t²

4.9t² + 25t - 55 = 0

t = 1.6 s

X = vₓt

X = horizontal distance

vₓ = horizontal velocity

t = time of flight

X =  (50 x cos30) x 1.6

X =  64 m

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Two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then  the magnitude of the resultant force is 15 N and the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

The acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

The magnitude of the acceleration of the object is 3  \(m/s^{2}\).

To find the magnitude and direction of the resultant force, we need to add the two given forces together.

Given:

f1 = (8i + 3j) N

f2 = (4i + 6j) N

To find the resultant force (\(F_res\)), we simply add the corresponding components:

\(F_res\) = f1 + f2

= (8i + 3j) + (4i + 6j)

= (8 + 4)i + (3 + 6)j

= 12i + 9j

The magnitude of the resultant force (\(|F_res|\)) can be found using the Pythagorean theorem:

\(|F_res|\)= \(\sqrt{(12^2) + (9^2)}\)

= \(\sqrt{144 + 81}\)

= \(\sqrt{225}\)

= 15 N

So, the magnitude of the resultant force is 15 N.

To find the direction of the resultant force, we can use trigonometry. The direction can be represented by the angle θ between the positive x-axis and the resultant force vector. We can calculate θ using the inverse tangent function:

θ = arctan(9/12)

= arctan(3/4)

≈ 36.87 degrees

Therefore, the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

Now let's calculate the acceleration of the object in the x and y components. We know that force (F) is related to acceleration (a) through Newton's second law:

F = ma

For the x-component:

\(F_x\)= 12 N

m = 5 kg

Using  \(F_x\)= \(ma_x\), we can solve for \(a_x\):

12 N = 5 kg * \(a_x\)

\(a_x\)= 12 N / 5 kg

\(a_x\) = 2.4 \(m/s^{2}\)

For the y-component:

\(F_y\) = 9 N

m = 5 kg

Using \(F_y\) = \(ma_y\), we can solve for \(a_y\):

9 N = 5 kg * \(a_y\)

\(a_y\) = 9 N / 5 kg

\(a_y\)= 1.8  \(m/s^{2}\)

So, the acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

To find the magnitude of the acceleration (|a|), we can use the Pythagorean theorem:

|a| = \(\sqrt{(a_x^2) + (a_y^2)}\)

= \(\sqrt{(2.4^2) + (1.8^2}\)

= \(\sqrt{5.76 + 3.24}\)

= \(\sqrt{9}\)

= 3  \(m/s^{2}\)

Therefore, the magnitude of the acceleration of the object is 3  \(m/s^{2}\)

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The mass of Car B is -6000 kg.

To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.

Therefore, we can write the equation for the conservation of momentum as:

(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision

Let's substitute the given values into the equation:

(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)

Simplifying the equation:

20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)

Dividing both sides by -5 m/s:

-4000 kg = 2000 kg + mass of Car B

Subtracting 2000 kg from both sides:

mass of Car B = -4000 kg - 2000 kg

mass of Car B = -6000 kg

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Answer:

A.

Explanation:

this would make sense but it seems to be more like they both sound different

According to the legend, Arthur was the son of King Uther Pendragon. After Arthur was born, he was given to Merlin. Merlin was a magician and wise man who advised the kings of Britain. Once Uther died, it was said that the next king would be able to pull the sword Excalibur out of a stone.

this is just a summary

Inertia is a property of all the objects. Galileo stated that inertia is proportional to mass. Therefore, the answer is D.

Answer:

yes u can flag football has everything that pad football has so you can enlist on being offensive position but you have to play like you want that position

Explanation:

The coefficient of kinetic friction on material B is greater than material A, causing an increase in net force on block 2.

The coefficient of kinetic friction between block 1 and material B is greater than that between block 1 and material A, which causes an increase in the net force acting on block 2 as block 1 slides from material A to material B.

This is because the increased friction on material B results in a greater opposing force to the motion of block 1, which in turn causes a greater tension force on the string and therefore a greater net force on block 2.

This effect is due to the properties of the different materials and the interaction between the materials and the block, which ultimately determine the amount of friction present and the resulting force acting on the system.

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Answer:

77 N

Explanation:

Draw free body diagrams for each block.

The smaller block has four forces acting on it:

Weight force m₁g pulling down,

Normal force N₁ pushing up,

Friction force μN₁ pushing to the left,

and tension force T pulling to the right.

Sum of forces in the y direction:

∑F = ma

N₁ − m₁g = 0

N₁ = m₁g

N₁ = (1.2 kg) (9.8 m/s²)

N₁ = 11.76 N

Sum of forces in the x direction:

∑F = ma

T − μN₁ = m₁a

T = m₁a + μN₁

T = (1.2 kg) (3.0 m/s²) + (0.25) (11.76 N)

T = 6.54 N

The larger block has five forces acting on it:

Weight force m₂g pulling down,

Normal force N₂ pushing up,

Friction force μN₂ pushing to the left,

Tension force T pulling to the left,

and applied force F pulling 69° above the horizontal.

Sum of forces in the y direction:

∑F = ma

N₂ + F sin 69° − m₂g = 0

N₂ + F sin 69° = m₂g

N₂ + F sin 69° = (3.2 kg) (9.8 m/s²)

N₂ + F sin 69° = 31.36 N

Sum of forces in the x direction:

∑F = ma

F cos 69° − T − μN₂ = m₂a

F cos 69° − μN₂ = m₂a + T

F cos 69° − 0.25 N₂ = (3.2 kg) (9.8 m/s²) + 6.54 N

F cos 69° − 0.25 N₂ = 37.9 N

We have two equations and two variables. Solve for N₂ in the first equation and substitute into the second.

N₂ = 31.36 − F sin 69°

F cos 69° − 0.25 (31.36 − F sin 69°) = 37.9

F cos 69° − 7.84 + 0.25 F sin 69° = 37.9

F (cos 69° +0.25 sin 69°) = 45.74

0.592 F = 45.74

F = 77.3 N

Rounded to two significant figures, the magnitude of the force is 77 N.

If a displacement vector is 23 km in length and directed 65° south of east. the components of this vector is: (a) 21 km 9.7 km.

The displacement vector can be resolved into its eastward and southward components using trigonometry. Let's call the eastward component "x" and the southward component "y".

From the given information, we know that the displacement vector makes an angle of 65° south of east. This means that the angle between the vector and the eastward axis is 90° - 65° = 25°.

Using trigonometry, we can relate the length of the vector to its components:

cos 25° = x / 23

sin 25° = y / 23

Solving for x and y, we get:

x = 23 cos 25° ≈ 21 km

y = 23 sin 25° ≈ 9.7 km

Therefore, the answer is (a) 21 km eastward component and 9.7 km southward component.

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