A rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to a velocity of 12.1 m/s along the positive y-axis, all in 2.20 s. Determine the x-component and the y-component of the rabbit's acceleration. (Enter your answers in m/s2. Indicate the direction with the signs of your answers.)

The braking distance of the driver of a 1200 kg car traveling at an initial speed of 10m/s is 7.5 m

We'll begin by obtainig the acceleration of the car. This can be obtained as follow:

Force = mass × acceleration

-8000 = 1200 × a

Divide both sides by 1200

a = -8000 / 1200

a = -6.67 m/s²

Finally, we shall determine the distance. Details below

v² = u² + 2as

0² = 10² + (2 × -6.67 × s)

0 = 100 - 13.34s

Collect like terms

0 - 100 = -13.34s

-100 = -13.34s

Divide both side by -13.34

s = -100 / -13.34

s = 7.5 m

From the above calculation, we conclude that the breaking distance is 7.5 m

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We will haev the following:

So, the density of the material is 175/31 g/cm^; that is approximately 5.6 g/cm^3.

Given that the distance between the two charged particles is increased by 4 times the amout, let's determine how the electrical force between them will change.

The electrical force between two charged particles is determined by the formula:

Where:

k is the constant

q1 and q2 are the two charged particles

r is the distance between the particles

From the formula, we can see that the electrical force between them is inversely proportional to the the square of the distance between the charged particles.

Thus, in order to increase the electrical force, the distance must be decreased.

If the electrical force is changed by a factor of

Answer:

Explanation:

Angle:

β = - 23°

( From the symmetry condition)

The components of a 15 meters per second velocity at an angle of 60 above the horizontal are 13.05 m / s and 0.435 m / s

Resolving the velocity into its horizontal and vertical components, it makes a right angled triangle.

Hypotenuse = V = 15 m / s

θ = 60°

Opposite side = components = [tex]V_{y}[/tex]

Adjacent side = Horizontal component = [tex]V_{x}[/tex]

In a right angled triangle,

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

sin 60° = [tex]V_{y}[/tex] / V

[tex]V_{y}[/tex] = 15 * 0.87

[tex]V_{y}[/tex] = 13.05 m / s

cos 60° = [tex]V_{x}[/tex] / V

[tex]V_{x}[/tex] = 0.5 * 0.87

[tex]V_{x}[/tex] = 0.435 m / s

Therefore,

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This is an example of F = ma because the net force applied is directly proportional to the weight (mass) of the basket.

Newton's Second Law of Motion states that the acceleration of an object is inversely proportional to its mass and directly proportional to the net force acting on the physical object.

Mathematically, Newton's Second Law of Motion is given by this expression;

F = ma

Where:

In conclusion, the above scenario is an example of the demonstration of Newton's Second Law of Motion.

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The current flow through a 60W bulb if the voltage across is 230V is 0.26 A.

P = V I

P = Power

V = Voltage

I = Current

P = 60 W

V = 230 V

I = P / V

I = 60 / 230

I = 0.26 A

Ohm's law states that if the temperature across a conductor remains the constant, the ratio of potential difference across the conductor to the current flowing in the conductor will also be constant.

Therefore, the current flow through a 60W bulb if the voltage across is 230V is 0.26 A.

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In astronomy, luminosity is the power (amount of energy per unit of time) emitted in all directions by a celestial body. It is directly related to the absolute magnitude of the star. The luminosity of the Sun, L☉ is the classical unit used in astronomy to compare the luminosity of other stars. Its approximate value is:

From the options, the correct one is:

A. Sun

The answer is true, that the hydraulic press utilizes Bernoulli's principle.

It can be derived from the Principle of conservation of energy.

According to Bernoulli's principle, which governs fluid dynamics, a fluid's speed increases concurrently with a reduction in pressure or potential energy. The mathematical concept is named after Swiss mathematician Daniel Bernoulli, who first published it in his book Hydrodynamics in 1738.

The venturi tube is a real-world example of Bernoulli's Principle in action. The venturi tube has an air intake that constricts to a throat and an exit segment that widens as it moves backward. The entrance and outflow both have the same diameter.

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The particles speed at B is 12 m/s .

Potential energy is the energy that is held in reserve in any system or object as a result of how its components are positioned or assembled. The external environment, such as air or height, is not a factor in this, though. The energy that an object or a system's particles have while in motion, however, is known as kinetic energy. An item or particle's motion gives it kinetic energy, which it might use to move. An item accelerates and gains kinetic energy when work, which transfers energy, is done on it by exerting a net force. Potential energy is a form of stored energy that is dependent on the arrangement of a system's components. In a compressed state, a spring has higher potential energy.

The mass of the particle = 500g

= 0.5 kg

The energy of the particle when it is released

E = 5g

The potential energy at B

= 2 J

Loss in potential energy = gain in kinetic energy.

K.E.= 1/2 × m × v²

Here after putting values we get

speed at B = 12m/s.

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The final speed of the crate with an initial speed of 0.76 m / s accelerated at 0.035 m/s for 28.0 s along a conveyor belt is 1.74 m / s

v = u + at

v = Final speed

u = Initial speed

a = Acceleration

t = Time

a = 0.035 m / s²

y = 28 s

u = 0.76 m / s

v = 0.76 + ( 0.035 * 28 )

v = 0.76 + 0.98

v = 1.74 m / s

The equation used to solve the problem is an equation of motion. An equation of motion describes the position of an object using acceleration, displacement, time, initial and final velocities.

Therefore, the final speed of the crate is 1.74 m / s

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The distance in Km he has fallen to break the sound barrier is 6 Km

To obtain the answer to the question, we'll beging by calculating the time taken to break the sound barrier. This can be obtained as follow:

v = u + gt

343 = 0 + (9.8 × t)

343 = 0 + 9.8t

343 = 9.8t

Divide both sides by 9.8

t = 343 / 9.8

t = 35 s

Finally, we can obtain the height as follow:

h = ½gt²

h = ½ × 9.8 × 35²

h = 4.9 × 1225

h = 6002.5

Divide by 1000 to express in Km

h = 6002.5 / 1000

h = 6 Km

Thus, Félix baumgartner broke the sound barrier when he had fallen 6 Km

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Answer:

1. B. Kinetic energy is transferred from Terry's foot to the soccer ball.

2. A. A baseball bat strikes a baseball.

3. A. 173.28J

4. D. Kinetic energy is transferred from the racket to the ball.

Explanation:

I took the quiz and got 100%

Answer:

1. Kinetic energy is transferred from Terry's foot to the soccer ball.

2. A baseball  bat stricks a baseball

3. 173.28

4. kinetic energy is transferred from the racket to the ball

5. 1,102.5 J

remember to keep the decimal on the last one

Explanation: They added another question so I decided to give the answer to those who had it.

Answer:

F = 880 N

Explanation:

Apply Pascal's Principle.

f / a = F / A

Because the pressure (P = F/A) is equal on both sides of the piston.

So, using the International System of Units:

f / a = F / A

88 / 0.05 = F / 0.50

F = (88/0.05) * 0.50

F = 880 N

When the light falls on a soap bubble spread on a water puddle, and a spectrum of color is observed due to constructive and destructive of light waves which means option (3) is correct. Light waves interfere into each other to produce a spectrum which consists of bright and dark fringes.

When two surface attach each other a force is produced called friction. It's SI unit is newton

Answer:

V₁ = 48 m/s

Explanation:

Using the Conservative Law of Momentum:

∑Qₓ = 0

Q₁ + Q₂ = 0

Q₁ = Q₂  (In absolute values)

Where:

Q₁: right before the impact

Q₂: right after the impact

So:

Q₁ = Q₂

m₁*V₁ + m₂*V₂ = m₁*V + m₂*V  (Because both ball and man moves together)

5 * V₁ + 75 * 0 = (5 + 75)*3

5V₁ = 80 * 3

V₁ = 240/5

V₁ = 48 m/s

The acceleration of free fall of each object will be the same.

An assumption made is that both objects must be on Earth.

The acceleration of free fall of every object is the acceleration experienced by the freely falling object as a result of  the effect of gravitation of earth alone.

Mathematically, the formula for acceleration of free fall of every object on earth is given as;

g = GM/R²

where;

The value of acceleration due to gravity on Earth is 9.8 m/s².

Since both objects are dropped from same height on Earth, they will experience equal  acceleration of free fall.

The assumptions made are;

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The tension in the cable during this motion will be 3750 lbs , when a steel cable carries a 3000 lbs load which is descending with a speed of 12 ft/s.

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a.)  the ball rises to a height of 31.88m

b.) It takes the ball 2.55 seconds to reach its highest point

c.) It takes the ball 2.55 seconds to hit the ground

d.) The ball's velocity is -24.99 m/s in the negative direction which is downwards.

Velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

From the given question, we have that

b.) At highest point velocity of the ball will become zero so v=0m/s.

So using equation

v = u + gt

0 = 25 - 9.8t

t = 25/9.8 s =2.551 s

Time taken by the ball to reach its highest point will be 2.551 seconds .

a.)  The height the ball rises is given by

v²-u²=2gh

=> 0-(25.0)²=-2*9.8*h

=> 19.6h= (25.0)²

=> h= 31.88m.

c.)  It will take the ball 2.55 seconds to hit the ground

after it reaches its highest point because it will take the ball same time for the ball to reach its highest point or fall to the ground.

d.) velocity = u - gt

V = 0 - 9.8 * 2.55

V= -24.99 m/s in the negative direction which is downwards.

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The specific heat of the metal is  2178.7 J/kg⁰C.

The specific heat capacity of a substance is the quantity of heat needed to raise a unit mass of a substance by 1 kelvin.

The specific heat capacity of the metal is calculated by applying the principle of conservation of energy.

Heat lost by the metal = Heat gained by the ice

m₁c₁(T₁ -T) = m₂c₂(T - T₂)

where;

(1)(c₁)(5 - -8.88) = (1)(2000)(-8.88 - - 24)

(1)(c₁)(5 + 8.88) = (1)(2000)(-8.88 + 24)

13.88c₁ = 30,240

c₁ = 30,240/13.88

c₁ = 2178.7 J/kg⁰C

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Answer:

2180

Explanation:

trust me bro

In order to find the orbital radius, we need to use Kepler's third law's equation

The formula states:

T^2/R^3 = 4pi^2/G(m)

Since the satellite is geostationary, weknow that the period of the satelitte is going to be 10.6 hours

Plugging in everything we know already

(10.6)^2/R^3 = 4pi^2/G(5.7*10^26)

(10.6)^2/4pi^2/G(5.7*10^26) = R^3

solve for R^3 = 1.08*10^17

R = 476523 m from the surface of Saturn

5.4*10^7 + 476523 = 54476523 meters for the orbital radius

The orbital period could be obtained from the question as 8.98 * 10^7 m.

We know that the solar system is composed of the sun and the planets. The planets are known to move around the sun in concentric circles. Following the heliocentric model of the solar system, the sun is at the center of the solar system at all times and all the other planets tend to move round the sun at a good distance that is appropriate for each.

Now we have that;

T = √4π^2r^3/GM

T = period of the orbit

r = radius of the orbit

G = gravitational constant

M = mass of the planet

Hence, we have;

R = ∛T^2GM/4π^2

R =∛ (26 * 60 * 60)^2 * 6.67 * 10^-11 * 4.9 * 10^25/ 4 * (3.142)^2

R = ∛2.86 * 10^25/39.49

R = 8.98 * 10^7 m

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The graph that shows the relationship between the speed and the kinetic energy is option B.

Recall that the kinetic energy is referred to as the speed that a body possess by virtue of its motion. Thus an object that is in motion is said to posses the kinetic energy.  The kinetic energy is the energy of an object that has a velocity

The kinetic energy is linearly related to the speed of the object. This implies that the speed is directly proportional to the kinetic energy of the object. If there is a direct relationship, it the follows that the graph of the speed against the kinetic energy of the object ought to be a straight line graph.

As such, the relationship between the kinetic energy and the speed of the object can be seen from the image in option B.

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The direction of the third force, such that the object continues to

move with a constant velocity is  94.5N at 0.19° south of east.

The force that one thing exerts on another. A barrel being pushed by a human is an illustration of applied force. When the individual pushes the barrel, the barrel experiences an applied force. Newton's second law of motion defines the force formula as follows: A force is equal to an object's mass times its acceleration, or F = m a. You must use SI units when applying this formula: kilograms for mass, meters per second squared for acceleration, and newtons for force. a push or pull that an object has experienced. Here, an object is given a force by a person or any other thing. A chair being pushed to the opposite side of the room, for instance.

For the object to move with constant velocity the total acceleration must be zero.

So,

Total  F = [tex]F_{1} +F_{2} +F_{3}[/tex]

  ma = 0

[tex]F_{1}[/tex] = 84.4N

[tex]F_{2}[/tex] = 42.7 N

[tex]F_{3} = -F_{1} - F_{2}[/tex]

= 94.58 N

TanФ = 0.19°

Hence [tex]F_{3}[/tex] = 94.5N at 0.19° south of east.

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The net force acting on the box is 5N , and it is unbalanced.

since the forces acting on the system is 7N and 2N which is opposite direction.

here given two forces ,

        f1 = 7N

        f2 = 2N

since both forces are in opposite direction ,

     Net force = f1 - f2

                      = 7N - 2N

                      = 5N

so the net force that act on the given box is 5N and unbalanced .

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First, let's calculate the forces in the 3 kg mass:

Then, the forces in the 2 kg mass:

From the first equation, let's solve it for T:

Using this value of T in the second equation, we have:

Finally, using the given values (with g = 10 m/s²), we have:

If the acceleration is 2 m/s², after 2 seconds the speed is:

Therefore the correct option is the second one.

The electric field at point P  is mathematically given as

E=-6.69n-m^2/c

This is further explained below.

Generally, the equation for magnetic Flux is mathematically given as

[tex]Flux $=\mathrm{E}.2 \mathrm{~A}\\=\mathrm{Q}_{\text { enc }} / \varepsilon_0$[/tex]

[tex]=\mathrm{E} 2 \mathrm{~A}\\\\=\mathrm{p} * \mathrm{Vol} / \varepsilon_0$[/tex]

[tex]=E 2\left(d x^* d y\right)\\\\=p^*\left(d x^* d y^* 2^* d z\right) / \varepsilon O$[/tex]

E=p^* d z /

Taking into account the fact that Let the permittivity of the slab is approximate:

[tex]$\varepsilon O=8.85^* 10^{\wedge}-12 \mathrm{~F} / \mathrm{m}$[/tex]

Distance from the origin to the point in question:

dz=0.0015m

Charge distribution over the slab is uniform:

[tex]&\mathrm{p}=\mathrm{Q} / \mathrm{vol}=\left(-7.9 * 10^{\wedge}-11\right) \mathrm{C} /\left(0.005^* 2 * 2\right) \mathrm{m}^{\wedge} 3 \\[/tex]

p=-3.95^* 10^-9

[tex]\mathrm{E}=\mathrm{p}^* \mathrm{dz} / \varepsilon 0\\\\=\left(3.95^* 10^{\wedge}-9 * .0015\right) / 8.85^* 10^{\wedge}^{-11} \\[/tex]

E=-6.69n-m^2/c

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According to the given statement the heat absorbed is 43676.78 J .

The water's specific heat and the formula Q= mcΔT are used to compute the amount of heat absorbed. At 100°C, water vaporizes into steam. Calculating the amount of heat absorbed requires multiplying the number of moles of water by the molar heat of vaporization.

Mass, m = 227.1grams

To find how much heat is absorbed when 227.1 grams of steam is heated from  115.6°C to 12.2°C.

Heat absorbed is given by :

Q= mcΔT

c is specific heat of water

Put all the values, we get :

Q = 227.1 * 1.86 * (115.6 - 12.2)

Q = 43676.78 J

43676.78 J heat is absorbed.

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The distance to drive East is 1.7 km and the distance you would have to drive North is 4.7 km

The North-East, East and North travel distances from a right angled triangle. So trigonometric ratios are applicable.

sin θ = East distance / NE distance

sin 20° = East distance / 5

East distance = 1.7 km

cos θ = North distance / NE distance

cos 20° = North distance / 5

North distance = 4.7 km

Some of the basic trigonometric ratios are:

Therefore, the distance to drive East is 1.7 km and the distance to drive North is 4.7 km

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