If you raise an object to a greater height, you are definitely increasing its __________.

Answer:

Explanation:

mass (m) = 50 kg

Force (F) = 200 N

Acceleration (a)= ?

WE know

F = m * a

200 = 50 * a

a = 200 / 50

a = 4 m/s²

Hope it will help :)

Given :

The focal length of a concave mirror is 18 cm.

To Find :

The radius of curvature of the concave mirror.

Solution :

We know,

\(\text{Focal length}=\dfrac{\text{Radius of curvature}}{2}\\\\F=\dfrac{R}{2}\\\\R = 18\times 2\ cm\\\\R = 36 \ cm\)

Therefore, the radius of curvature of concave mirror is 36 cm.

Hence, this is the required solution.

Answer:

Reaction is 20N.

Explanation:

In general, Newton's third law of motion explains that when a force is applied on an object, a reaction of equal magnitude applies in the reverse direction of the force.

i.e F = -R

This implies that, reaction is a force in the opposite direction to that of the force applied.

Force can also be related to the weight of an object as;

F = W = mg

Thus to prevent the 20N stone from falling, a force of 20N is applied in the opposite direction. So the reaction, R is 20N.

Answer:

the spring would be a constant of 10.5 m

Answer:

the final volume of the gas is 1.923 L.

Explanation:

Given;

initial pressure, P₁ = 8.4 atm

initial volume of the gas, V₁ = 1.9 L

final pressure of the gas, P₂ = 8.3 atm

The final volume of the gas is calculated by applying Boyle's law as follows;

P₁V₁ = P₂V₂

V₂ = P₁V₁ / P₂

V₂ = (8.4 x 1.9) / 8.3

V₂ = 1.923 L

Therefore, the final volume of the gas is 1.923 L.

Answer:

Let's see the forces in the cup:

The gravitational force will act in the plane parallel to the inclined surface.

Because the surface is not smooth, we will have a friction force, which direction is opposite to the velocity vector.

The component of the gravitational force perpendicular to the surface is canceled with the normal force, so we will not have that in our diagram.

The correct option is not shown, so i will draw a simple sketch so you can identify the correct option:

Where the direction of the velocity is shown so we can know the direction of the friction force,

And we assume that both forces are applied on the center of mass, this is an oversimplified case, but this is the approach we usually take in this type of problems.

Answer:

For me it was B.    Fn is going to the NW.  Ff is going NE. Fg is going straight down.

Explanation:

For an object that is only 150 years old, there would still be a significant amount of carbon-14 present in the sample, which would make it difficult to accurately determine the age of the object. The age of the sample is 23,108 years.

We know that;

0.693/t1/2 = 2.303/t log (No/N)

0.693/5700 = 2.303/t log (80/5)

0.693/5700 = 2.773/t

1.2 * 10^-4 = 2.773/t

t = 2.773/1.2 * 10^-4

t = 23,108 years

Carbon-14 dating is a radiometric dating method used to determine the age of organic materials up to approximately 50,000 years old. Carbon-14 (14C) is a radioactive isotope of carbon that decays over time, and the amount of 14C remaining in a sample can be used to determine its age.

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The flex in the mesh is necessary to allow for the force to be applied along the axis of the structure and to balance the torque generated by the force, resulting in the system being in equilibrium when horizontal.

The concept of equilibrium in physics refers to a state where all the forces acting on a system are balanced, resulting in no acceleration. In order for an object to be in equilibrium, the net force acting on it must be zero, and the net torque must also be zero.
When it comes to a mesh or a structure made of two rods that are at a slight angle to each other, it is important to consider the torque generated by a force. Torque is a measure of the rotational force applied to an object, and it is dependent on both the magnitude of the force and the distance from the point of rotation.
In the case of a straight rod, the torque generated by a force can be balanced at any angle because the force is applied directly along the axis of the rod, resulting in a net torque of zero. However, in a structure made of two rods at a slight angle, the force may not be applied directly along the axis of either rod, resulting in a net torque that is not zero.
This is where the concept of flex comes into play. By having a flex in the mesh, it allows for the force to be applied along the axis of the structure, resulting in a net torque of zero and the system being in equilibrium. Without this flex, the structure would only be in equilibrium at a single angle where the net torque generated by the force is zero.

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Answer:

the answer is B but I'm not completely sure

The reason for this observation is  that the shed is not made of iron or steel.

The special magnetic property of iron is called ferromagnetism. As a result of this special magnetic property, iron can be attracted easily by a magnet. Steel is made from iron so it is also highly magnetic.

In the question, a magnet placed against the wall of a metal shed falls to the ground, where it attracts a nail. The reason for this is that the shed is not made of iron or steel.

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A) The velocity of the two freight car is 1.83 m/s, B) The impulse exerted on each freight train car is 22000 kg-m/s, C) The net force exerted on each freight train car is 31428.6 N.

Mass of the loaded freight car, m₁ = 10000 kg

Initial velocity of the loaded freight car, v₁ = 3 m/s

Mass of the empty freight car, m₂ = 2000 kg

Velocity of the empty freight car, v₂ = -4 m/s

Let the velocity of the coupled car after collision, = v

By the law of conservation of momentum,

m₁v₁ + m₂v₂ = (m₁+m₂)v

A) v = (10000×3 - 2000×4)/(10000+2000)

    v = 1.83 m/s

B) Impulse = change in momentum(Δp)

Δp = 10000×3 - 2000×4 = 22000 kg-m/s

C) Net force, F = Impulse/time = 22000/0.7

  F = 31428.6 N

D) The collision is inelastic as the final speed of both the car is less than their initial velocities.

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Answer:

Emphasis on public safety can surely reduce the risk for various groups of population

1. Proper education and training must be provided to make them aware of the risks and how they can manage those risks.

2. Proper rules and regulation must be made and strictly followed for example traffic rules so as to avoid accidents.

3. Disaster management teams should to formed to ensure minimal loss of humans and resources during any natural calamity.

4.Eradication of poverty and illiteracy should be priority so as to ensure people focus on more important issues in life rather than involve themselves in trivial things.

Explanation:

Answer:

a) 9.213 m/s²

b) 203.189m

Explanation:

a) a=v-u

t

b) s=ut+1/2at²

To find the time it takes for the compass to hit the ground, we can use the kinematic equation:

\[ h = \frac{1}{2}gt^2 \]

Where:

- \( h \) is the height (7.29 m)

- \( g \) is the acceleration due to gravity (9.8 m/s\(^2\))

- \( t \) is the time we're trying to find

Rearranging the equation, we have:

\[ t = \sqrt{\frac{2h}{g}} \]

Substituting the given values, we can calculate the time:

\[ t = \sqrt{\frac{2 \times 7.29}{9.8}} \]

\[ t \approx 1.13 \text{ seconds} \]

Therefore, it takes approximately 1.13 seconds for the compass to hit the ground after it is dropped from the hot-air balloon.

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Answer:

\({FY} = \dfrac{3}{4} \times FX\)

Explanation:

The parameters given for the planets are;

The mass of planet X = M and the radius of planet X = R

The mass of planet Y = 3·M and the radius of planet Y = 3·R

The magnitude of the gravitational force of the planets on their satellites are given by the following equation;

\(F=G \times \dfrac{M_{1} \cdot m_{2}}{R^{2}}\)

Where;

M₁ = The mass of the first object = The mass of the planet

m₂ = The mass of the second object = The mass of the satellite

R = The distance between the centers of the two planets = The distance between the center of the planet and the satellite

G = The universal gravitational constant

The force between planet X and the satellite in its orbit = \(FX=G \times \dfrac{M \times m}{(2 \cdot R)^{2}} = G \times \dfrac{M \times m}{4 \cdot R^{2}}\)

The force between planet Y and the satellite in its orbit = \(FY=G \times \dfrac{3\cdot M \times m}{(4 \cdot R)^{2}} = G \times \dfrac{3\cdot M \times m}{16 \cdot R^{2}} = G \times \dfrac{ 3\cdot M \cdot m}{16 \cdot R^{2}}\)

Therefore;

\(\dfrac{FY}{FX} = \dfrac{G \times \dfrac{ 3\cdot M \cdot m}{16 \cdot R^{2}}}{G \times \dfrac{M \times m}{4 \cdot R^{2}}} = \dfrac{3}{16} \times \dfrac{4}{1} = \dfrac{3}{4}\)

\({FY} = \dfrac{3}{4} \times FX\)

a) The distance of closest approach is2.00 mm

b) The magnitude of the magnetic force that the proton exerts on the electron: 1.60 × 10⁻¹⁹ N

a) To find the distance of closest approach between the proton and electron, we need to determine the y-coordinate of the electron when it is at x = 0.

Given that the electron is moving along the line x = +4.00 mm, at the instant of closest approach, the y-coordinate of the electron will be equal to the negative of its x-coordinate.

Therefore, the distance of closest approach is 4.00 mm or 2.00 mm (taking the absolute value).

b) The magnetic force between two moving charges can be calculated using the formula
F = (|q₁| * |q₂| * v * B) / r,
where F is the force,
|q₁| and |q₂| are the magnitudes of the charges,
v is the velocity of the charge,
B is the magnetic field, and
r is the distance between the charges.

In this case, the proton and electron have equal magnitudes of charge |q₁| = |q₂| = 1.60 × 10⁻¹⁹ C, and they are moving with the same speed v = 4.20 × 10⁵ m/s. The magnetic force depends on the magnetic field B, which is not given in the question.

Therefore, we cannot calculate the exact magnitude of the magnetic force without knowing the value of the magnetic field.

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Explanation:

The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis. As a result, the moon does not seem to be spinning but appears to observers from Earth to be keeping almost perfectly still. Scientists call this synchronous rotation

the x-component of the pin's final velocity is 5.2 M/S

FULL SOLUTION BELOW THE IMAGE.

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The required  x-component of the pin's final velocity is 5.2 M/S

Velocity characterizes the bearing of the development of the body or the article. Speed is basically a scalar amount. Speed is basically a vector amount. It is the pace of progress of distance. It is the pace of progress of uprooting.

We have,

mass(m) = 7.5 kg, initial velocity(u) = 6.42 m/s

final velocity(v) = 5.43(cos12°i + sin12°j) m/s

So, conservation of momentum,

7.5(6.42i) = 7.5(5.43(cos12°i + sin12°j) m/s) + 1.6 Vp

Vp = 5.2i - 5.292j

x - component = 5.2 m/s

y - component = 5.292 m/s

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The two breakers below contain pure water. Boiling point is the same for both of these samples.

Extrinsic and intrinsic characteristics are two divisions of matter or things in science and engineering. An extrinsic property is one that is not indigenous to the sample, whereas an intrinsic property is.

No matter the circumstances of measurement, an intrinsic property is constant. The structure and chemical makeup of it determine its value. Depending on the circumstances, an extrinsic property's value may fluctuate. It depends on how the sample is impacted by outside variables.

Boiling point is the same for both of these samples as it doesn't depends on mass of the water.

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Answer:

3 meters per second

Explanation:

72 divided by 3= 24 meters in 8 seconds

24/8= 3, so 3 meters per second

A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 170 kpa.

Given that the radius of the first end is  r _1 = 2.5cm /2

                                                             = 1.25 cm

speed at the first end is  v_1  = 0.90m/s

radius at the other end is  r_2  = 1.2cm /2

                                              = 0.6cm

Pressure is P  = 170*10^3 Pa

a )  From the equation of continuity  v_1A_1  = v_2 A_2

     m)^20.90m/s*π(1.25*10^-2 = v_2π(0.6*10^-2m)^2

                                                  v_2  = 3.90m/s

b) Pressure at the second floor is  P_2  = P_1 - ρgh + 1/2 ρ (v_1^2 - v_2^2 )

=  170*10^3 Pa  - 1000 *9.8 * 7.6m + 1/2 *1000 ( (0.90m/s)^2 - ( 3.90m/s)^2 )

                             = 102.7 kPa

The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included.

Speed is a scalar amount because it has handiest route and no significance.

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An appropriate speed for glacial movement generally is six centimeters a year.

A glacier is a vast, slow-moving mass of snow and ice that collects in mountain valleys and spreads outwards, frequently flowing like a very slow river. It forms when snow accumulation exceeds snowmelt, and the compacted snow transforms into ice, a process known as "firnification." This ice subsequently flows downhill under the weight of additional snow accumulation, occasionally for hundreds of miles.

Glaciers can move up to several meters per day, but they typically move at a much slower pace. Even though the speed of a glacier might vary widely based on factors like slope, basal conditions, temperature, and ice thickness, a reasonable speed for glacial movement is six centimeters a year. Furthermore, the rate of movement can vary depending on the time of year and the time of day.

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The magnitude of the frictional force acting on the 5 kg box will be 15 N

The coefficient of kinetic friction is defined as the ratio of force of kinetic friction to the normal reaction between the two surfaces in contact.

F = normal force

fr = frictional force

mu = coefficient of kinetic friction

since ,

fr = mu * F

   = mu * mg       ( as N = mg)

   = 0.30 * 5 * 9.8

   = 14.7 N

   ≈ 15 N

The magnitude of the frictional force acting on the 5 kg box will be a) 15 N

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Answer:

The water temperature is independent, and the cleanliness of the dishes is dependent.

Explanation:

You can change the independent variable in an experiment, in this case it's the water temperature. The dependent variable is the outcome from the independent variable, in this case being the cleanliness of the dishes. You can't control the cleanliness, but you can control the water temperature.

Hope my explanation isn't too confusing, hope this helps.

A ball is dropped from a height of 10 m. Its velocity upon impact with the ground is (v) = (a) 14 m/s.

Velocity is a term that means that the object has changed its position by making a distance in a given time. That called the velocity of the object. It can be measured in m/s, cm/s.

To calculate the velocity we are using the formula,

v²-u²=2gh

As we know the ball start velocity from rest so, u=0

v²=2gh

Or, v=√2gh

Here we are given,

h= the height of the cliff from the ball fell. = 10m.

g= The acceleration due to gravity. = 9.8 m/s².

We have to calculate the velocity of the ball = v m/s.

Now we put the values in above equation, we get

v=√2gh

Or, v= √2*9.8*10

Or, v= 14 m/s.

So from this we can say that, Its velocity upon impact with the ground is (v) = (a) 14 m/s

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The switch that adjusts the magnetic field to be either nearly uniform or have a strong gradient will affect the current in the two coils differently.

When the magnetic field is nearly uniform at the center, the current in both coils will remain relatively unchanged. The uniform field will not induce any significant voltage in the coils, so the current will flow through them as usual.

However, when the magnetic field has a strong gradient, the current in the two coils will be affected differently. The rapidly changing field will induce a voltage in the coils according to Faraday's law of electromagnetic induction. This induced voltage will result in a change in the current flowing through the coils. The magnitude and direction of the induced current will depend on the specific characteristics of the coils and the magnetic field gradient.

In summary, the switch that changes the magnetic field from uniform to having a strong gradient will induce a change in the current flowing through the coils due to the induced voltage.

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It is to be noted that the total displacement is 0cm. Note that displacement is different from distance traveled.

Displacement is described as the total change in an object's location as well as the direction of motion.

The formula is given as:

Displacement = Final position – initial position = change in position.

Given that the caterpillar falls back to the ground, it means that the total displacement is zero.

Final Position = 0

Initial position = 0

Displacement, thus = 0-0 =0

When distinguishing between displacement and distance, we know that distance is the total length of the path between any two places.

Displacement is defined as the direct length between any two places measured via the shortest path between them.

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If there are both electric and magnetic fields in the room and their effects on the charged particle cancel, and the electric field points upward, then the direction of the magnetic field is downwards.

The electric force on a charged particle is provided by an electric field, whereas the magnetic force is provided by a magnetic field. The effect of the electric and magnetic fields on the motion of the particle is a function of the relative directions and magnitudes of the two fields.

If the magnetic field is perpendicular to the electric field and the particle's velocity, the magnetic force is at right angles to both the electric force and the velocity, and it does not adjust the particle's speed. If the electric and magnetic forces on a charged particle are equal and opposite, they cancel each other out, resulting in no acceleration of the charged particle. Since the electric field is pointing upward, the magnetic field should be pointing downward.

In conclusion, the direction of the magnetic field is downward if the electric field is pointing upward, according to the given condition.

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The angle between two just-resolved points of light can be determined using the formula θ = 1.22 * (λ / D), where θ is the angle, λ is the average wavelength, and D is the diameter of the pupil. In this case, the diameter of the pupil is given as 3.50 mm.

To find the angle, we need to convert the diameter to meters, as the wavelength is typically measured in meters. Therefore, 3.50 mm is equivalent to 0.0035 meters.

Assuming an average wavelength is not provided in the question, we cannot calculate the angle without that information. However, once you have the average wavelength, you can substitute the values into the formula to find the angle. Remember to use consistent units throughout the calculation.

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