25. 0 kg dog is trapped on a rock in the middle of a narrow river. A 66. 0-kg rescuer has assembled a swing with negligible mass that she will use to swing down and catch the trapped dog at the bottom of her swing, and then continue swinging to the other side of the river. The ledge that the rescuer swings from is 5. 0 m above the rock, which is not high enough so the rescuer and dog together can reach the other side of the river, which is 3. 0 m above the rock. However, the rescuer can use a ladder to increase the height from which she swings. What is the minimum height of the ladder the rescuer must use so both dog and rescuer make it to the other side of the river? Assume that friction and air resistance are negligible

Answer:

\(\Huge \boxed{\mathrm{13.5 \ Joules}}\)

Explanation:

\(\sf Kinetic \ energy \ (J)=\frac{1}{2} \cdot mass \ (kg) \cdot (velocity \ (m/s)) ^2\)

\(\mathrm{KE=\frac{1}{2} mv^2}\)

The mass of the ball is 3 kg.

The velocity of the ball rolling is 3 m/s.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 3^2}\)

Evaluating and solving for kinetic energy.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 9}\)

\(\mathrm{KE=\frac{1}{2} \cdot 27}\)

\(\mathrm{KE} =13.5\)

The kinetic energy of the ball is 13.5 Joules.

Answer:

Kinetic energy =1/2mv^2.

1/2×3×3^2.

1/2×27=13.5 or 13 whole number 1/2.

Velocity can fluctuate in magnitude, direction, or both because it is a vector. Therefore, acceleration is a change in either direction or speed, or both.

Cosmic rays are subatomic particles that have been accelerated to extremely high energies in active galactic nuclei and supernovas, which are massive stars that explode.

Understanding the mechanisms that accelerate cosmic rays is crucial because these rays contain extremely invasive radiation that can harm spacecraft electronics.

The same direction as the change in velocity is the one in which acceleration is a vector. Velocity can fluctuate in magnitude, direction, or both because it is a vector.

Therefore, Velocity can fluctuate in magnitude, direction, or both because it is a vector. Therefore, acceleration is a change in either direction or speed, or both.

To learn more about Velocity, refer to the link:

https://brainly.com/question/18084516

#SPJ1

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2 × 2

We have the final answer as

Hope this helps you

Answer:

Explanation:

So:

(

5

⋅

1

)

+

(

1

⋅

−

4

)

=

(

5

+

1

)

v

5

−

4

=

6

v

v

=

1

6

=

0.17

m

s

Answer:

"The burning coal heats water in a boiler, creating steam. Steam released from the boiler powers an engine called a turbine, transforming heat energy from burning coal into mechanical energy that spins the turbine engine."

Explanation:

Not my words, Put quotes.

The rate of heat loss Q from the room to the outside is 64572.04 J/s.

Given:

Thermal conductivity of the wall: 0.84 W/m.K

Thickness of the wall: 26 cm

Area of the wall: 6 m²

Internal surface temperature: 16°C

External surface temperature: -4°C

Step 1: Calculate the thermal resistance of the wall:

Thermal Resistance, R = (Thickness) / (Thermal conductivity)

The thickness should be in meters.

R = (26 / 100) / (0.84) = 0.3095 m²·K/W

Step 2: Find the temperature difference:

Temperature difference = Inside wall temperature - Outside wall temperature

Temperature difference = 16°C - (-4°C) = 20°C

Step 3: Calculate the rate of heat loss Q:

Q = (Temperature difference) / (Thermal Resistance)

Q = (20 / 0.3095) J/s

Q = 64572.04 J/s

Therefore, the rate of heat loss Q from the room to the outside is 64572.04 J/s.

learn more about interest expense on

https://brainly.com/question/13418224

#SPJ11

\(\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}\)

\(\\ \sf\longmapsto Pressure=\dfrac{40}{2}\)

\(\\ \sf\longmapsto Pressure=20Pa\)

\( \sf \huge \red {\dag} Given\)

\(\sf \longmapsto \: Force \: = 40 \: Newtons\)

\(\sf \longmapsto \: Area \: = \: 2m \: Square \: ( {2m}^{2} )\)

We know that the formula of Pressure is

\(\sf \longmapsto \: Force/Area\)

Let's start.

\(\sf \longmapsto \: \: P = 40 \: newtons(force)/2(Area)\)

\(\sf \longmapsto Pressure \: 20 \: N/m^2\)

\(\boxed{\sf\red{\boxed{ \sf Pressure ≈ \: 20 \: N/m^2}}}\)

Answer:

A resultant is the sum of two (or more) vectors.

2. To add vectors, place the vectors such that the tail of the second vector is placed

at the head of the first vector. Draw a resultant vector from the tail of the first

vector to the head of the second vector. Using the Pythagorean theorem,

calculate the magnitude of the resultant vector. Use geometry or a protractor to

determine the angle of direction of the resultant vector.

Explanation:

The Arrhenius equation is used to calculate the activation energy of a reaction and to determine the temperature dependence of rate constants. The temperature dependence of rate constants for a chemical reaction can be found using the Arrhenius equation.

The long answer to the problem stated above is given below:The Arrhenius equation for the temperature dependence of rate constants:k = Ae^(-Ea/RT)Here,k is the rate constant A is the frequency factor (the pre-exponential factor in the Arrhenius equation)Ea is the activation energy R is the universal gas constant T is the temperature (in kelvin)ln(k1/k2) = Ea/R(1/T2-1/T1)The activation energy can be determined by measuring the rate constants at two different temperatures and using the equation above.

To solve this problem, we will use the rate constants at 298 K and 312 K and the Arrhenius equation.0.0409 1/min = A exp(-Ea/(R*298 K))0.157 1/min = A exp(-Ea/(R*312 K))Taking the ratio of the two equations, we get:0.157/0.0409 = exp(-Ea/R(1/312 K - 1/298 K))Simplifying, we get:3.83 = exp(-Ea/(8.314*(0.0033)))Taking the natural logarithm of both sides, we get:ln(3.83) = -Ea/(8.314*(0.0033))Solving for Ea, we get:Ea = -8.314*(0.0033)*ln(3.83)Ea = 75.6 kJ/mol Therefore, the activation energy for this reaction is 75.6 kJ/mol.

To know more about Arrhenius equation  visit:-

https://brainly.com/question/31887346

#SPJ11

I know that the answer to your question is b because why not. just trust me

Answer:

hope it is helpful to you

Mistahimaskwa, also known as Big Bear, was a Cree leader who lived in what is now Canada during the late 19th century. He was worried about Treaty 6, a treaty that was signed between the Canadian government and several First Nations in 1876.

Mistahimaskwa was concerned about the implications of the treaty for the traditional way of life of his people. The treaty granted the Canadian government control over vast tracts of land, including areas that were important for hunting and fishing. In exchange, the government promised to provide certain goods and services to the First Nations signatories. Mistahimaskwa was skeptical about the government's promises, and he feared that the treaty would result in the loss of his people's independence and autonomy. He also believed that the treaty would lead to conflicts between different First Nations groups, as they competed for resources and territory. Ultimately, Mistahimaskwa's fears were borne out, as the treaty failed to protect the rights and interests of the First Nations signatories. Many of the promises made by the government were not kept, and the treaty contributed to the displacement and marginalization of Indigenous peoples in Canada.

For such more questions on government

https://brainly.com/question/12828544

#SPJ11

The number of turns needed on the secondary coil is 45. The transformer is a device that transfers electrical energy from one circuit to another through electromagnetic induction.

In order to determine the number of turns needed on the secondary coil of the transformer, we need to use the equation:

Vp/Vs = Np/Ns

Where Vp is the potential difference on the primary coil, Vs is the potential difference on the secondary coil, Np is the number of turns on the primary coil, and Ns is the number of turns on the secondary coil.

We know that Vp is 1.5V and Vs is 5.0V. We also know that Np is 150. So, we can rearrange the equation to solve for Ns:

Ns = (Vp/Vs) x Np

Ns = (1.5V/5.0V) x 150

Ns = 45

Therefore, the number of turns needed on the secondary coil is 45. The transformer is a device that transfers electrical energy from one circuit to another through electromagnetic induction. The voltage ratio between the primary and secondary coils is determined by the ratio of the number of turns in each coil.

In this case, we are given the input and output voltages and the number of turns on the primary coil, and we use this information to calculate the number of turns needed on the secondary coil.

To know more about energy refer here:

https://brainly.com/question/16182853#

#SPJ11

Answer:

Yes because the hotter the water the less time it takes to dissolve.

Explanation:

When a car travels around two curves, one with twice the radius of curvature of the other, the change of velocity of the car is greater in the curve with the smaller radius of curvature. This is because the square of the speed is directly proportional to the radius of the turn, and the centripetal force required to keep the car moving in a circle is greater in the curve with the smaller radius of curvature.

As the radius of the circle decreases, the centripetal force required to keep the car moving in a circle increases. Since the car is traveling the same distance at a constant speed around both curves, the velocity must change in the curve with the smaller radius of curvature in order to maintain the necessary centripetal force.

Therefore, the change of velocity of the car is greater in the curve with the smaller radius of curvature.

Learn more about centripetal force:

https://brainly.com/question/898360

#SPJ11

Answer:

Rubber or plastic covers are bad conductors of electricity. So they do not allow the electric current to pass through it.

Explanation:

Rubber and plastic are bad conductors of electricity, therefore when handling a tool with a rubber handle, the electricity will not pass through it.

Answer:

rubber and plastic are insulators and are bad conductors of electricity

Answer:

1438.4 N

Explanation:

Applying,

F = kqq'/r²................... Equation 1

Where F = Electrostatic force on the balloons, k = coulomb's constant, q = charge on the first balloon, q' = charge on the second balloon, r = distance between the two ballons.

From the question,

Given: q = q' = 4.0×10⁻⁵ C, r = 0.1 m

Constant: k = 8.99×10⁹ Nm²/C²

Substitute these values into equation 1

F = ( 4.0×10⁻⁵×4.0×10⁻⁵×8.99×10⁹)/0.1²

F = 14.384/0.01

F = 1438.4 N

The magnitude of the repulsive force will be 1438.4 N.Opposite charges repel each other by a force known as the repulsive force.

The forces repel each other is known as the repulsive force.According to Coulomb's law, like charges repel each other.In Magnetism repulsive force between magnets of same orientation occurs.

The given data in the problem is;

q₁,q₂ is the charges =4.0 x 10 -5C 78

d is the distance = 0.10 m

F is the magnitude of the repulsive force=?

The magnitude of the repulsive force will be;

\(\rm F =\frac{ Kq_1q_2}{r^2} \\\\ \rm F =\frac{ 8.99 \times 1^9 \times 4.0 \times 10^-5 \times 4 \times 10^-5}{(0.10)^2} \\\\ \rm F =1438.4 N.\)

Hence the magnitude of the repulsive force will be 1438.4 N.

To learn more about the repulsive force refer to the link;

https://brainly.com/question/807785

The correct statement is: T > mg

In the scenario where the elevator is accelerating upward with a constant non-zero acceleration, the tension in the rope (T) will be greater than the weight of the elevator (mg).

To understand why this is the case, let's consider the forces acting on the elevator:

Tension in the rope (T): The rope provides an upward force to counterbalance the weight of the elevator and provide the necessary net force to accelerate it upward.

Weight of the elevator (mg): The weight acts downward and is given by the product of the mass of the elevator (m) and the acceleration due to gravity (g).

Since the elevator is accelerating upward, there must be a net upward force acting on it. This net upward force is provided by the tension in the rope (T). In order to accelerate the elevator, the tension in the rope must be greater than the weight of the elevator (mg).

Therefore, the correct statement is: T > mg.

To know more about tension refer here: https://brainly.com/question/13676406#

#SPJ11

Answer:

Topographic maps give the user the ability to view a three-dimensional landscape on a two-dimensional map. One who is able to read a topo map can identify the elevation and location of valleys, peaks, ridges, and other land features.

Explanation:hope this helps

Answer: A thesis statement states the main idea of an essay or assignment.

Explanation: A thesis statement is put in the introduction of a writing assignment to tell the reader the opinion or judgement of the writer. What the writer infers about a book or personal experience. Examples are argumentative essays or literary device essays.

Answer:

A. Increased self-esteem

Explanation:

I hope this helps :)

True. In the world of film, sound plays a critical role. It helps to set the tone and mood of a scene, and can even be used to foreshadow events or provide subtle hints about the characters and their situations.

As such, sound is an integral part of the filmmaking process. When it comes to sound in film, it is generally geared to time. This means that the sound must be timed to match the visual elements of the scene.

Music, sound effects and dialogue must all be timed in order to create the desired effect and to ensure that they don’t interfere with one another. Sound also has to be carefully timed to match the action on screen. For example, gunshots must be timed in order to match the physical movements of the characters and other visual elements.

Additionally, sound must be timed to match the timing of the edits, so that the audience can easily follow the action on screen. In short, sound in film is closely tied to the timing of the visuals, and sound designers must be sure to time the sound correctly in order to create the desired effect.

Know more about foreshadow events here

https://brainly.com/question/25293996#

#SPJ11

Answer: c

Explanation: just did it

The time required for the sled to travel down a 112-m slope, starting from rest, is approximately 10.46 seconds.  Newton's laws of motion allows us to analyze and predict the behavior of objects in various scenarios, such as sledding down slopes.

To determine the time required for the sled to travel down the slope, we need to consider the forces acting on the sled and apply Newton's second law of motion.

Given data:

Angle of inclination (θ) = 30°

Force provided by the wind (F_wind) = 190 N

Combined mass of the girl and the sled (m) = 52.7 kg

Coefficient of kinetic friction (μ_k) = 0.275

Distance traveled down the slope (d) = 112 m

Step 1: Calculate the gravitational force component parallel to the slope.

The gravitational force component parallel to the slope is given by:

F_parallel = m * g * sin(θ)

Step 2: Calculate the net force acting on the sled.

The net force is the vector sum of the force provided by the wind and the gravitational force component parallel to the slope:

F_net = F_wind - F_parallel

Step 3: Calculate the force of kinetic friction.

The force of kinetic friction is given by:

F_friction = μ_k * m * g * cos(θ)

Step 4: Calculate the net force accounting for friction.

The net force accounting for friction is:

F_net_friction = F_net - F_friction

Step 5: Calculate the acceleration.

The acceleration of the sled can be calculated using Newton's second law:

a = F_net_friction / m

Step 6: Calculate the time of travel.

The time required for the sled to travel down the slope can be calculated using the equation of motion:

d = 0.5 * a * t^2

Rearranging the equation and solving for time (t), we find:

t = sqrt((2 * d) / a)

Substituting the given values and calculating the expression, we find:

t ≈ 10.46 seconds

The time required for the sled to travel down a 112-m slope, starting from rest, is approximately 10.46 seconds. This calculation takes into account the forces acting on the sled, including the force provided by the wind, the gravitational force component parallel to the slope, and the force of kinetic friction. Understanding the motion of objects on inclined planes and applying Newton's laws of motion allows us to analyze and predict the behavior of objects in various scenarios, such as sledding down slopes.

To know more about motion ,visit:

https://brainly.com/question/26083484

#SPJ11

The change in the momentum was found to be 16,000 kgm/s

Change in momentum ?

Situations involving impulse and momentum are all around us, whether we notice it or not. Before we begin evaluating these daily instances, we'll go over the fundamental ideas of impulse and momentum.

In physics, an impulse (Ft) is a force (F) operating over a certain time (t) that results in a change in momentum (p) of an object. The impulse-momentum theorem is the equation of impulse with the change in momentum.

the change in the momentum was Δp=mxΔv

Δp=2000x8

Δp=16,000 kgm/s

therefore the change in momentum was found to be 16,000kgm/s

To learn more about momentum follow the given link:https://brainly.com/question/15460796

#SPJ4

Answer:

16m/s

Explanation:

Mv=mv

5000x8=2500x v

V=5000x8/2500

V=40000/2500

= 16m/s

Answer:

C. Satellite Y is experiencing a greater gravitational force than satellite

Explanation:

the more closer an object is to the surface of the Earth the more gravitational for it will feel.

If you look at the equation Fg = (Gm1m2)/r^2, the smaller the r (distance between center of 2 objects) the greater the gravitational force.

The formula of a spring-mass-damper system is given by md2x/dt2 + cdx/dt + kx = F(t).

The spring-mass-damper system is a common model used in physics and engineering to describe the behavior of various mechanical systems, such as a car suspension system or a building during an earthquake. The equation of motion for a spring-mass-damper system is typically given by:

md2x/dt2 + cdx/dt + kx = F(t)

where m is the mass of the object attached to the spring and damper, x is the displacement of the mass from its equilibrium position, t is time, c is the damping coefficient, k is the spring constant, and F(t) is an external force applied to the system at time t.

The term md2x/dt2 represents the acceleration of the mass, while cdx/dt represents the damping force (i.e. resistance to motion) caused by the damper, and kx represents the force exerted by the spring. The external force F(t) can be any force applied to the system, such as an oscillating force or a constant force.

The solution to this differential equation depends on the initial conditions (i.e. the initial position and velocity of the mass) and the specific values of the parameters m, c, and k. The behavior of the system can be analyzed using various techniques, such as finding the natural frequency of the system or using numerical simulations to model the motion over time.

For such more questions on Equilibrium

https://brainly.com/question/517289

#SPJ4