Two ants at a picnic find a small piece of cake. Each picks up the cake and tries to carry it
home. The first ant's home is due west and he pulls with a force of 10 N. The second ant's
home is due south and he pulls with a force of 10 N. In what direction is the cake heading?
If the cake can withstand a force of 13.5 N, what do you predict will happen?

Force is a vector quantity hence it can be resolved into a vertical and a horizontal components.

1) The horizontal component of the applied force is given by;

Fnet = F cos θ

Fnet = 70.0N × cos (45.0)

Fnet = 49.5 N

2) The horizontal component of the frictional force is;

F = -Ff + mgsinθ

F = applied force

Ff =mgsinθ - F

Ff = (11 × 10 × sin 45) - 49.5

Ff = 28.3 N

Horizontal component of Ff

28.3 N cos 45 = 19.9 N

3) The applied force is given by;

F = 11 Kg ×  1.00m/s^2 = 11.0 N

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Answer:

newton's 2nd  law

Explanation:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Answer:

Original fundamental frequency = 311.111 Hz (Approx)

Explanation:

Given:

Frequency (f) = 560 Hz

3rd harmonic

Used length = 60%

Find:

Original fundamental frequency.

Computation:

Fundamental frequency = Frequency (f) / 3rd harmonic

Fundamental frequency = 560 / 3

Original fundamental frequency = 560 / 3(60%)

Original fundamental frequency = 560 / 1.8

Original fundamental frequency = 311.111 Hz (Approx)

Answer:

C.) 7.9 km

Explanation:

Distance and Displacement

An object who constantly travels for some distances at defined periods of time has a total distance as the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

Dr. Suarez walks 2.8 km north and then 5.1 km south. The total distance is simply the sum of both distances: 2.8 km + 5.1 km = 7.9 km.

Note the distance does not have any direction (north or south), it's just the number.

Answer: C.) 7.9 km

Answer:

the answer is yours a calculated

Answer: mmm... If you mean most like Basketball it's net ball but i don't know much about Basket ball teams

Explanation:

The student finds the density for Augite = 3.5 g/cm³

Mass of the metal = 35g

Volume of water in the graduated cylinder = 20 mL

When the metal is placed in the cylinder filled with water, the water level rises to 30 mL.

So, the volume of the metal = 30 - 20 = 10 mL

1 mL = 1cm³

∴ 10 mL = 10 cm³

Now, we know that,

\(Density = \frac{Mass}{Volume}\)

\(Density = \frac{35g}{10 cm^{3} }\)

\(Density = 3.5 g/cm^{3}\)

Therefore, the student finds the density for Augite = 3.5 g/cm³

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The wave interaction that can cause a spoon to appear broken in a glass of water is called refraction.

Refraction occurs when a wave, such as light, passes from one medium to another with a different density or refractive index. When light waves travel from air into water, for example, they undergo a change in direction due to the change in speed caused by the difference in optical properties between the two mediums.

In the case of the spoon in a glass of water, the light waves coming from the spoon encounter the air-water interface. As they pass from air into water, they undergo refraction, causing a change in their direction. This change in direction can create an optical illusion where the spoon appears to be bent or broken at the water's surface.

This phenomenon is a result of the bending of light rays as they pass through different mediums with different refractive indices, and it is a common example of how refraction can distort the perception of objects when viewed through different mediums.

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Answer:

250 - 35e = 215e

150 - 35e = 115e

Explanation:

I did it mentally

The principle of conservation of momentum must be applied to determine the final speed of the carts. Conservation of momentum states that the total momentum of a system remains constant if no external forces act on it.

In this scenario, the collision between the two carts is an isolated system, meaning no external forces are involved. Therefore, the initial momentum of the system before the collision should be equal to the final momentum after the collision. Since the carts stick together after the collision, they move as a single combined mass. The initial momentum of the system is given by the sum of the individual momenta of the two carts. After the collision, the combined mass moves with a final velocity, which is the same for both carts since they are now connected.

On the other hand, the principle of conservation of mechanical energy cannot be directly applied in this scenario. Conservation of mechanical energy states that the total mechanical energy of a system remains constant if no external non-conservative forces (such as friction or air resistance) act on it. However, in this case, the collision is not perfectly elastic, and there is a change in the mechanical energy due to the deformation of the carts and the conversion of kinetic energy into other forms of energy, such as heat or sound. Therefore, conservation of mechanical energy cannot be used to determine the final speed of the carts.

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The highest angle, which is 23.5°, occurs at the summer solstice. The greatest altitude angle at midday is therefore 90° 40° + 23.5° Equals 73.5°.

On the solstice, the sun's angle at noon lowers by 1 degree for every point of latitude that is moved away from 23.5o. On the summer, the sun's angle at noon lowers by 1 degree for every point of latitude that is moved away from 23.5o.

Every day of the year, including the solstices, is the same duration of 12 hours. arcs of the solstices as seen from 20° latitude. The Sun reaches its highest point at 46.56° in the winter and 93.44° in the summer.

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Answer:

The horizontal distance traveled by the projectile is 60 m

Explanation:

Given;

initial horizontal velocity of the projectile, Vₓ = 30 m/s

time of the motion of the projectile, t = 2 s

The horizontal distance traveled by the projectile is given by the range of the projection;

X = Vₓt

X = 30 x 2

X = 60 m

Therefore, the horizontal distance traveled by the projectile is 60 m

Therefoe

The angular momentum immediately before and after the collision is equal. The rotational kinetic energy before the collision is greater than the rotational kinetic energy after the collision.

When a body is rotating in a plane about a center, the energy possessed by the body is known as rotational kinetic energy.

Angular momentum is the momentum of a body having circular motion.

According to the law of conservation of angular momentum, the momentum remains conserved before and after the collision.

In the given sphere rod system, after the sphere (m0) sticks to the rod(2m0), the mass increases to 3m0 due to which the moment of inertia is increased but the speed is decreased.

Rotational Kinetic Energy =\(\frac{1}{2}\)Iω²

Thus, the angular momentum immediately before and after the collision is equal. The rotational kinetic energy before the collision is greater than the rotational kinetic energy after the collision.

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The electric force is 3.3 * 10-3 N.

Electric field intensity is a measure of the electric force acting on a charged particle in an electric field. It is defined as the force per unit charge that acts on a test charge placed in an electric field. The formula for electric field intensity (E) is given by:

E = F / q

where F is the force acting on a test charge of magnitude q in the electric field.

We haver that;

E = F/q

E = electric field intensity

F = force

q = magnitude of charge

Then;

F = Eq

F = 50.99 N/C *  6.45 × 10^−5 C

F = 3.3 * 10-3 N

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The kinetic energy in the spring is equal to the mechanical work done by the spring

The kinetic energy in then spring is

E = 1 / 2 kA2

The mechanical work done by the spring is,

E= 1 / 2 mv2

Compare the above two equations to find the amplitude of oscillation:

1 / 1 kA2 = 1 / 2 mv2

A = v√ m/k

(3.58 m/s) √ 1.12 kg / 32.3 N/m

= 0.66m

The mechanical work done by the spring is,

E = 1/2 mv2

= 1 / 2 (1.12 kg) (3.58 m/s)2

= 7.17 J

Work modifications the quantity of mechanical and internal energy possessed by gadgets. Whole work is achieved on a machine or item, energy is introduced to it.

The character of work achieved can be categorised in three classes. they are +ve work, -ve work and zero work. The character of work relies upon on the perspective among pressure and displacement.

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Answer:

La densidad del tetracloruro de carbono es 1.990 gramos por centímetro cúbico.

Explanation:

La masa de agua contenida dentro de la botella es igual a la diferencia entre la masa pesada totalmente llena y la masa pesada totalmente vacía, es decir:

\(m_{w} = 86.55\,g-24.25\,g\)

\(m_{w} = 62.3\,g\)

Ahora, de acuerdo con la definición de densidad, la masa es directamente proporcional a la densidad, entonces, podemos calcular la densidad del solvente mediante la siguiente relación:

\(\frac{m_{x}}{m_{w}} = \frac{\rho_{x}}{\rho_{w}}\) (1)

Donde:

\(m_{x}\) - Masa del tetracloruro de carbono, en gramos.

\(m_{w}\) - Masa del agua, en gramos.

\(\rho_{x}\) - Densidad del tetracloruro de carbono, en gramos por centímetro cúbico.

\(\rho_{w}\) - Densidad del agua, en gramos por centímetro cúbico.

Si sabemos que \(m_{x} = 123.95\,g\), \(m_{w} = 62.3\,g\) y \(\rho_{w} = 1\,\frac{g}{cm^{3}}\), entonces la densidad del tetracloruro de carbono es:

\(\rho_{x} = \left(\frac{m_{x}}{m_{w}} \right)\cdot \rho_{w}\)

\(\rho_{x} = 1.990\,\frac{g}{cm^{3}}\)

La densidad del tetracloruro de carbono es 1.990 gramos por centímetro cúbico.

Answer:

a = (v2 - v1) / t

For constant acceleration (positive) v2 (final velocity) must be greater than v1 (initial velocity)

Note that velocity is a vector quantity in this equation

For instance in the case of a freely falling body one might have v1 as 9.8 m/s and v2 as 29.4 m/s in 3 sec giving

a = (-29.4 - (-9.8)) / 3 = -19.6 m/s^2 where the positive direction was chosen as upwards and the acceleration is negative or downwards

Answer:

A. Is the bow made by hand?

Explanation:

Hope this helps.

Answer:

θ ≈ 65°

Explanation:

From the question given above, the following data were obtained:

Maximum height (H) = 8 m

Range (R) = 15 m

Initial velocity (u) = v

Angle θ =?

H = u²Sine²θ / 2g

8 = v²Sine²θ / 2g

Cross multiply

8 × 2g = v²Sine²θ

16g = v²Sine²θ

Divide both side by Sine²θ

v² = 16g / Sine²θ.... (1)

R = u²Sine2θ / g

15 = v²Sine2θ / g

Cross multiply

15 × g = v²Sine2θ

15g = v²Sine2θ

Divide both side by Sine2θ

v² = 15g / Sine 2θ... (2)

Summary:

v² = 16g / Sine²θ.... (1)

v² = 15g / Sine 2θ... (2)

Equate equation 1 and 2

16g / Sine²θ = 15g / Sine 2θ

16 / Sine²θ = 15 / Sine 2θ

Recall:

Sine²θ = SineθSineθ

Sine 2θ = 2SineθCosθ

16 / Sine²θ = 15 / Sine 2θ

16 / SineθSineθ = 15 / 2SineθCosθ

16 / Sineθ = 15 / 2Cosθ

Cross multiply

15 × Sineθ = 16 × 2Cosθ

15Sineθ = 32Cosθ

Divide both side by Cosθ

15Sineθ / Cosθ = 32

Divide both side by 15

Sineθ / Cosθ = 32/15

Recall:

Sineθ / Cosθ = Tanθ

Sineθ / Cosθ = 32/15

Tanθ = 32/15

Tanθ = 2.1333

Take the inverse of Tan

θ = Tan¯¹ 2.1333

θ ≈ 65°

Explanation:

first find the volume of room --->

\(v \: = 10 \times 12 \times (400 \times {10}^{ - 2} ) \times = 480 \: {m}^{3} \)

then find the mass

\(mass \: = \: density \: \times \: volume \: = 480 \times 1.26 = 604.8 \: kg\)

Three sine waves separated by 120 degrees make up three-phase power. An AC generator with three separate windings that are each precisely 120 degrees apart generates this type of electricity.

To supply electricity to data centers, as well as to commercial and industrial buildings that house power-hungry machinery, three-phase alternating current (AC) power is frequently used. This is for good reason, as 3-phase AC power is more efficient and capable of delivering more power than single-phase AC power.

Three-phase power sources are more effective than single-phase power sources when compared. While just requiring one more wire, a three-phase power supply can transmit three times as much power as a single-phase power supply (that is, three wires instead of two).

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Answer:

Momentum (p) is equal to the product of an object's mass (m) and its change in velocity (v).

Change in velocity (v) results in change in momentum (p), which is equal to impulse. Impulse (J) is also equal to an applied force (F) over a period of time (t).

Combining p=mv and J=F t together:

m (v final - v initial) = F t

(2,500 kg) (70 m/s - 30 m/s) = F (10 s)

Explanation:

Solving for F we get:

10,000 N of force

F=ma

F=2500 x 4

F = 10,000 N

A)To show that the two twins arrive back on earth at the same time, we can use the time dilation formula: t' = t / sqrt(1 - v^2/c^2).

B) Alice is older than Bob when they return to Earth.

Let's use Earth as the observer at rest, and assume that the journey takes 24 years (12 years to the star and 12 years back). Then, Alice travels at a speed of 0.6c for the entire journey, so her time is dilated by a factor of:

t'_Alice = t / sqrt(1 - 0.6^2)

t'_Alice = 24 / sqrt(1 - 0.6^2)

t'_Alice = 40 years

Bob departs 10 years after Alice, so his journey takes 22 years (10 years to the star and 12 years back). He travels at a speed of 0.8c for the entire journey, so his time is dilated by a factor of:

t'_Bob = t / sqrt(1 - 0.8^2)

t'_Bob = 22 / sqrt(1 - 0.8^2)

t'_Bob = 40 years

Let's use Earth as the observer at rest again. For Alice, we have:

t_Alice = t'_Alice * sqrt(1 - 0.6^2)

t_Alice = 40 * sqrt(1 - 0.6^2)

t_Alice = 32 years

For Bob, we have:

t_Bob = t'_Bob * sqrt(1 - 0.8^2)

t_Bob = 40 * sqrt(1 - 0.8^2)

t_Bob = 15 years

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Work done to lift the stone of mass 5.9 kg is 28.91 J.

The work done through pressure is made of the displacement and the component of the carried-out force of the object inside the direction of displacement. whilst we push a block with a few pressure ' F ' the body movements with a few accelerations, paintings are carried out. paintings executed is written as W = F.

The paintings executed by using pressure are defined to be manufactured from the aspect of the force in the path of the displacement and the significance of this displacement. formula. work can be calculated by multiplying pressure and Distance within the course of force as follows. W = F × d.

Work is achieved whenever a pressure actions something over a distance. you can calculate the strength transferred, or work carried out, by multiplying the pressure via the space moved in the route of the pressure.

Calculation:-

mass = 5.9

g = 9.8 m/s

f = 0.5 m

work done = mgh

                   = 5.9 × 9.8 × 0.5 J

                  = 28.91 J

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Answer:

The package should be dropped 244.7 meters before the target

Explanation:

We need to find how long the package will take to hit the ground then solve for position.

y=0

-4.9t^2=-3000

t= sqrt (3000/4.9)

t= 24.74 seconds.

x= 247.4 meters.

Answer: The material that is not a mixture; it has the same properties all the way through is called a substance.

Explanation:

A pure substance is a form of matter that has a constant composition and properties that are constant throughout the sample. Hence, it cannot be separated by physical means. Example: Gold

Mixture is a substance which has two or more components which do not combine chemically and do not have any fixed ratio in which they are present. They can be separated by physical means as well. Example: Air

Thus the material that is not a mixture; it has the same properties all the way through is called a substance.

Answer:

8.37757

Explanation:

may i have brainliest

Answer:

All soft drinks contain water. When soft drink bottles are chilled in sub-zero temperatures, the water on account of its anomalous expansion expands. Thus, to provide space for expanding water, soft drink bottles are not completely filled as otherwise they will burst.

Explanation:

Answer:

Soft drink bottles are filled leaving some space between the lid/cap and the liquid level.

Explanation:

The reason is that the soft drinks are cooled below room temperature.  Sometimes they are kept in the hot Sun and weather.  They are subject to a big temperature variation.  Also, there are gases like CO2 mixed in the drink.  So the gases come out of the liquid and expand due to heat.  That creates high pressure.

Water expands when it is cooled to 4 deg. C.  But the bottle (glass) contracts when it is cooled.  So if there is no air gap,  then volume of water (cool drink) will become more than the inside volume of the bottle.  Then the bottle will break due to pressure from water expansion around 8 deg. to 4 deg.C.

When a bottle is opened, due to pressure difference, and temperature difference, the gases come out of drink in the form of bubbles.  So cold drink overflows out.

Also, the soft drink bottles are capped tightly.  When an opener is used to open it using some force upwards, the pulling force also moves the soft drink bottle upwards.  So just after the lid comes off, the top part of the drink comes out due to the pull.  So some drink spills on people who open or, it falls outside.

In order to prevent these problems, some gap is left open between the surface of the soft drink and the top of the bottle.

Answer:

12

Explanation:

avarage speed = total distance/total time

our total distance is 40km

the first 20km speed was 20km/h, so the time os 1 hour here

for the next 20km, we dont have the time, so let the time here be = x

so total time is x+1 km/h

and total distance is 40km

and the avarage is 24km/h

so =>

\( \frac{40}{1 + x} = 24\)

solve for x to find the time in the second 20km

so x=0.6

then find the speed of the second 20km by diving the distance on time =>

\( \frac{20}{0.6} = 12\)

so the speed in the second 20km is 12km/h