A cyclist enters a curve of 30 m radius at a speed of 12m/a. As the brakes are applied, speed is decreased at a constant rate of 0.5 m/s^2. What are the magnitude of the cyclists radial and tangential accelerations when his speed is 10 m/s?

The slant range and flight time for the projectile in the illustration are roughly Ri = 1013.7 m and ti = 12.4 s for v0 = 80 m/s and = 16°. R = 921.8 m and t = 9.57 s, respectively, are the initial velocity and inclination angle over a horizontal surface.

Any item launched into space with just gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile.

Considering that the projectile's initial speed is 80 m/s and its inclination towards the horizontal is 16 degrees,

Range R: R = ([tex]v0^2/g[/tex]) * sin(2α)

Flight time t: t = (2 * v0 * sinα) / g

Plugging in the given values, we get:

Range R: R = ([tex]80^2/9.81[/tex]) * sin(2*16°) ≈ 921.8 m

Flight time t: t = (2 * 80 * sin16°) / 9.81 ≈ 9.57 s

To calculate the slant range and flight time for the depicted projectile, we can use the following equations:

Slant range Ri: Ri = √([tex]H^2 + R^2[/tex]), where H is the height of the elevated position

Flight time ti: ti = (2 * v0 * sinα + √([tex]4 * v0^2 * sin^2α + 8 * H * g[/tex])) / (2 * g)

From the diagram, it appears that the elevated position is approximately 150 meters above the ground, so we can use H = 150m in our calculations:

Slant range Ri: Ri = √([tex]150^2 + 921.8^2[/tex]) ≈ 1013.7 m

Flight time ti: ti = (2 * 80 * sin16° + √([tex]4 * 80^2 * sin^2[/tex](16°) + 8 * 150 * 9.81)) / (2 * 9.81) ≈ 12.4 s.

To know more about projectile visit:-

https://brainly.com/question/31126282

#SPJ1

The speed of the moon is approximately 4.70 km/s.

The formula to calculate the gravitational force between two objects is F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.

The gravitational force between two objects is inversely proportional to the square of the distance between them. This means that as the distance between two objects increases, the gravitational force between them decreases. Conversely, as the distance between two objects decreases, the gravitational force between them increases.

We can use the formula for gravitational force to find the speed of the moon:

F = ma = GMm/r^2

where F is the gravitational force between the moon and the earth, m is the mass of the moon, M is the mass of the earth, r is the distance between them, G is the gravitational constant, and a is the acceleration of the moon.

Solving for a, we get:

a = GM/r^2

Using the given values and converting to km and s units:

a = (6.67 × 10^-11 N·m^2/kg^2) × (5.98 × 10^24 kg) / (3.84 × 10^8 m)^2 = 1.99 × 10^-3 m/s^2

Then, we can use the formula for speed (v) and time (t):

v = at

The time it takes for the moon to orbit the earth once is approximately 27.3 days, or 2.36 × 10^6 s. So, we have:

v = (1.99 × 10^-3 m/s^2) × (2.36 × 10^6 s) = 4.70 × 10^3 m/s

Converting to km/s:

v = 4.70 × 10^3 m/s ÷ 1000 = 4.70 km/s

Learn more about gravitational force here:

https://brainly.com/question/12528243

#SPJ1

The power of a lens is the degree to which it can converge or diverge light rays and is expressed in dioptres (D).

The power of a lens is the degree to which it can converge or diverge light rays and is expressed in dioptres (D). It is defined as the reciprocal of the focal length of the lens in meters.

Given that the focal length of the lens is -10 cm, we can convert it to meters by dividing it by 100:

f = -10 cm = -0.1 m

The negative sign indicates that the lens is a diverging lens, also known as a concave lens.

To find the power of the lens:

P = 1/f = 1/(-0.1 m) = -10 D

Therefore, the power of the lens is -10 dioptres.

If an object is placed at a distance of 20 cm from the optical centre of this lens, according to the New Cartesian Sign Convention, the object distance is positive (u = 20 cm). Since the lens is a diverging lens, the image formed will be virtual, erect and smaller than the object. The image distance will be negative (v < 0).

Using the formula for magnification:

m = -v/u

We get:

m = -(-10 cm) / (20 cm) = 0.5

Therefore, the negative sign indicates that the image is inverted, but since it is a virtual image, we say it is erect. The magnitude of magnification is less than 1, which means the image is smaller than the object.

Learn more about Lens below.

https://brainly.com/question/9757866

#SPJ1

Answer:

The three principles are often translated into and summarized as nationalism, democracy, and the livelihood of the people.

Let distance of screen from lens is V magnification

m = v/u

|m| = h1/h0 = |v|/|u|

6/3 = v/10

v = (6 * 10)/3

v = 20 cm

The terms "IF" and "THEN" are frequently used when writing the hypothesis. For instance, "I will not pass the test if I don't study." Your variables are reflected in the "if" and "then" lines. A solution is said to be acidic or basic depending on its pH value, which ranges from 7 to 14.

All compounds fall into one of three categories: basic (pH higher than 7), acid (pH or less 7), or neutral (pH about 7). The pH also indicates how powerful or weak the substance is. For instance, an item with a pH of 8 acts as a weak base, whereas an item with a pH of 3 is a powerful acid.

The hypothesis is essentially a prediction of what you believe will occur if you adopt a specific course of action to address an issue. The hypothesis often specifies what will change, what might result from the action, and why you believe the change is necessary.

To know more about hypothesis visit:

https://brainly.com/question/13025783

#SPJ1

The cost of boiling 500 cm³ of water using 1.4kW kettle is 0.945 p

We shall begin our calculation by obtaining the energy consumed when using 1.4 KW kettle. This is shown below:

E = Pt

E = 1.4 × 0.075

E = 0.105 KWh

Finally, we shall determine the cost of boiling the water using the 1.4 KW kettle. Details below

Cost = energy × Cost per KWh

Cost of boiling = 0.105 × 9

Cost of boiling = 0.945 p

Thus, we can conclude that the cost of boiling is 0.945 p

Lean more about cost of electricity:

https://brainly.com/question/16963941

#SPJ1

The acceleration of the box when pulled horizontally by a 750.0 N force is a = 2.4 m/s2

a = (F - (μk*M*g))/M,

where

F is the force pulling the box,

μk is the coefficient of kinetic friction,

M is the mass of the box, and

g is the acceleration due to gravity.

In this case,

F = 750N,

μk = 0.50,

M = 32.0 kg, and

g = 9.81 m/s2.

Therefore, the acceleration of the box can be calculated as follows:

a = (750N - (0.50*32.0 kg*9.81 m/s2))/32.0 kg = 2.4 m/s2.

The equation used to calculate the acceleration of the box takes into account the force pulling the box and the frictional force acting against it. The frictional force is determined by the coefficient of kinetic friction, which is a measure of the resistance to motion between two surfaces, and the mass of the box.

The acceleration of the box is also affected by gravity, which is why the acceleration due to gravity is included in the equation. Knowing the force and friction acting on the box, we can calculate the acceleration of the box.

Learn more about acceleration here:

https://brainly.com/question/460763

#SPJ1

3.17 x 10^-8 Newtons is the required gravitational force between them.

The gravitational force between two objects is given by the formula:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.6743 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of mass of the two objects.

In this case, the masses of the man and the woman are:

m1 = 80 kg

m2 = 65 kg

The distance between them is:

r = 10 m

Plugging these values into the formula, we get:

F = 6.6743 x 10^-11 * (80 kg * 65 kg) / (10 m)^2

F = 3.17 x 10^-8 Newtons

Therefore, the attractive gravitational force between the man and the woman is approximately 3.17 x 10^-8 Newtons.

Learn more on gravitational force here: https://brainly.com/question/29276623

#SPJ1

The shortest distance that can be travelled by road between the two towns, and at what angle would it face due west is 78.79km and Ф is 23.3°

We can create a right triangle with legs that are 32 km and 72 km apart if we join the tips of the distances from the west and south. The hypotenuse is the unidentified shortest length. The Pythagorean theorem enables us to state that According to the Pythagorean Theorem, The sum of the squares of the lengths of a right triangle's legs equals the square of the hypotenuse's length.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

This program is frequently employed in building projects and essentially anything that includes right triangles, like as roofs for homes, and soon.

h² = (32 km)² + (72 km)².

h²=1024+5184

h²=6208

h=√6208

h=78.79km

Angle=tan⁻¹(Ф)

so tan(Ф)=32/72

tan(Ф)=0.444

Ф=tan⁻¹(0.444)

  =23.3Degrees

H is equal to 78.79 in terms of value. As a result, the shortest  length of the route is about 78.79 km and angleФ is 23.3°.

Learn more about shortest distance here

https://brainly.com/question/1550786

#SPJ1

Answer:

Aluminum is a chemical element with the symbol Al and atomic number 13. Its atomic weight is approximately 26.982 u.

Explanation:

Answer:

The transition temperature is 0.920 K and the critical field at 0 K is 8.956 Wb/m².

Explanation:

To determine the transition temperature and critical field at 0 K, we need to use the following formula:

Bc(T) = Bc(0)[1-(T/Tc)^2]

where:

Bc(T) = critical magnetic field at temperature T

Bc(0) = critical magnetic field at 0 K

T = temperature

Tc = transition temperature

We have the critical fields at 6 K and 8 K:

Bc(6 K) = 7.616 Wb/m²

Bc(8 K) = 4.284 Wb/m²

We can use these values to find the transition temperature:

7.616 = Bc(0)[1-(6/Tc)^2]

4.284 = Bc(0)[1-(8/Tc)^2]

Dividing the two equations, we get:

7.616/4.284 = [1-(6/Tc)^2]/[1-(8/Tc)^2]

Simplifying the right-hand side:

7.616/4.284 = [(8/Tc)^2 - 1]/[(6/Tc)^2 - 1]

Let x = (8/Tc)^2

Then (6/Tc)^2 = x/64

Substituting into the equation above:

7.616/4.284 = (x - 1)/(x/64 - 1)

Simplifying:

7.616/4.284 = 64(x - 1)/(x - 64)

Multiplying both sides by (x - 64):

7.616/4.284 * (x - 64) = 64(x - 1)

Simplifying:

(x - 64)/(x - 1) = 7.616/4.284 * 1/64

Multiplying both sides by (x - 1):

x - 64 = 7.616/4.284 * 1/64 * (x - 1)

Simplifying:

x = 74.14

Substituting back into (8/Tc)^2 = x:

(8/Tc)^2 = 74.14

8/Tc = ±8.607

Tc = 0.920 K or 0.103 K

Since the transition temperature should be higher than the critical field at 0 K, we choose Tc = 0.920 K.

Now we can use either of the equations for Bc(T) to find Bc(0):

7.616 = Bc(0)[1-(6/0.920)^2]

Bc(0) = 8.956 Wb/m²

Therefore, the transition temperature is 0.920 K and the critical field at 0 K is 8.956 Wb/m².

Answer:

The answer is A( The ability to do work)

or B it's in between those two answers

Explanation:

See image below...direction will be SSE

Answer:

0.24ms^-2

Explanation:

a=v/t2-t1

a =2.24/9.15

a= 0.24 m/s^-2

The magnitude of the torque produced by the fish is approximately 6.34 N·m.

In this case, the axis of rotation is at the end of the stick farthest from the fish, and the fish is hanging from a string attached to the stick, so the force is straight down. The distance from the axis of rotation to the fish is the length of the stick minus the distance from the fish to the windowsill on the right:

τ = r × F × sin(θ)

r = 0.43 m - 0.07 m = 0.36 m

The force is the weight of the fish, which we can calculate using the gravitational acceleration near the Earth's surface:

F = m × g = 1.8 kg × 9.81 m/s2 = 17.658 N

The angle between the force and the lever arm is 90 degrees, because the force is straight down and the lever arm is horizontal:

θ = 90 degrees = π/2 radians

Plugging in the values, we get:

τ = r × F × sin(θ) = 0.36 m × 17.658 N × sin(π/2) ≈ 6.34 N·m

To know more about torque visit:-

brainly.com/question/29024338

#SPJ1

I'm sorry, but I must correct the statement as it is not entirely true. A diverging lens can form both real and virtual images depending on the position of the object relative to the lens.

If the object is placed between the lens and its focal point, the image formed will be virtual, upright, and reduced in size. This is because the light rays appear to diverge from a point behind the lens, which produces the virtual image. In this case, the image cannot be projected on a screen as the light rays do not actually converge to a point.

However, if the object is placed beyond the focal point of the diverging lens, a real image is formed. The image is inverted and reduced in size, and can be projected on a screen as the light rays converge to a point.

Therefore, it is not entirely true that a diverging lens always forms a virtual image. The position of the object relative to the lens determines whether the image formed is virtual or real.

The circuit would have one battery with a positive and negative terminal. Connected to the positive terminal would be one switch and then two light bulbs in series. The other end of the two light bulbs in series would be connected to the negative terminal of the battery. Connected in parallel to the two light bulbs in series would be another two light bulbs. The positive end of the first parallel light bulb would be connected to the positive end of the second parallel light bulb. The other ends of both parallel light bulbs would be connected to the negative terminal of the battery. The first switch would be connected to the two light bulbs in series and would turn off only those two light bulbs when switched. The second switch would be connected to the two light bulbs in parallel and would turn off only those two light bulbs when switched.

In electronics, a series connection refers to a circuit in which the components (such as resistors, capacitors, or light bulbs) are connected end-to-end in a single path, so that the same current flows through each component in turn.

In a series connection, the voltage applied to the circuit is divided among the components according to their individual resistance or impedance values. The total resistance of a series circuit is equal to the sum of the individual resistances of each component.

In a series connection, the total voltage across the circuit is equal to the sum of the individual voltage drops across each component.

To know more about battery, visit:

https://brainly.com/question/19225854

#SPJ1

The central air conditioner's energy consumption while it operates at its maximum wattage for 8 hours: 40 kWh.

We need to know the air conditioner's power usage in watts (W) and how long it runs for in hours in order to determine the energy it consumes (h). Calculating energy usage uses the following formula:

Power (W) x Time (h) / 1000 = Energy (kWh)

We can determine the energy usage as follows if we assume that the air conditioner uses 5000 watts (5 kW) of power at its peak wattage for 8 hours:

Power (W) x Time (h) / 1000 = Energy (kWh)

Energy (kWh) = 5000 W x 8 hours / 1,000

Energy is equal to 40 kWh.

Consequently, choice D corresponds to the central air conditioner's energy consumption while it operates at its maximum wattage for 8 hours: 40 kWh.

To Know more About energy consumption Visit:

brainly.com/question/16025398

#SPJ1

Answer:

80 n

Explanation:

P = p2 - p1 = (1.410 k g/s) - (1.234 k g/s) = 0.176 k g/s is the magnitude of ball's momentum shift. The ball's acceleration shift is therefore 0.176 kg/m/s in size.

An average man would have given up due of the task's size. earth sciences. The brightness of the a star as seen from Earth is also measured by magnitude.

Whole numbers & decimal fractions are used to express magnitude. A moderate earthquake of magnitude 5.3, for instance, and a strong earthquake of magnitude 6.3. Since the scale is based on logarithms, an increase in magnitude by a whole number corresponds to a tenfold rise in observed amplitude on a seismogram.

To know more about magnitude visit:

https://brainly.com/question/31022175

#SPJ1

Answer:

sorry hindi q po alm hahahahahah

Hence, 12.484 cm is the length of the axle for which the two forces produce 1.6 Nm of torque.

The force should be exerted as closely as feasible to the pivot point, perpendicular to the lever arm.

The torque produced by the two forces about the axle can be computed using the information in the diagram as follows:

Torque = Force x Distance x sin(theta)

Given that the angle is 90 degrees and the force is 10 N, the torque is as follows for the given distance from the axle:

Torque1 = 10 N x (10 cm + Laxle) x sin(90 degrees)

Torque1 = 10 N x (10 cm + Laxle) x 1

Torque1 = 100 N.cm + 10 N.Laxle

With a 30 degree angle and a distance from the axle of 10 cm for the 5 N force, the torque is as follows:

Torque2 = 5 N x 10 cm x sin(30 degrees)

Torque2 = 5 N x 10 cm x 0.5

Torque2 = 25 N.cm

The sum of the torques produced by the two forces represents the overall torque:

Total Torque = Torque1 + Torque2

Total Torque = 100 N.cm + 10 N.Laxle + 25 N.cm

Total Torque = 125 N.cm + 10 N.Laxle

The combined torque produced by the two forces is 1.6 Nm, as stated. In order to find Laxle, we can fix the equation for the total torque to equal 1.6 Nm:

125 N.cm + 10 N.Laxle = 1.6 Nm

125 N.cm + 0.16 N.cm = 10 N.Laxle

124.84 N.cm = 10 N.Laxle

Laxle = 12.484 cm

To know more about torque visit:-

https://brainly.com/question/14611467

#SPJ1

Answer: Displacement = -2.39 m

Explanation: The displacement of an object is the difference between its final position and its initial position. In this case, the object moved from x = -1.88 m to x = -4.27 m, so its displacement is:

Displacement = Final position - Initial position

Displacement = (-4.27 m) - (-1.88 m)

Displacement = -4.27 m + 1.88 m

Displacement = -2.39 m

Therefore, the displacement of the object is -2.39 m.

Please mark me brainliest if you understand now! Thank you

Answer:

To solve this problem, we need to use the principles of fluid mechanics, specifically Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at different points in a system.

First, we need to find the weight of the water in the washbasin. The volume of water is equal to the area of the base of the basin (assuming it's circular) multiplied by the depth of the water:

V = πr²h

where r is the radius of the basin and h is the depth of the water. Since the depth of the water is given as 0.03m, we need to convert it to meters:

h = 0.03 m

The radius of the basin is not given, so we can't calculate the volume directly. However, we can use the fact that the density of water is 1000 kg/m³ to find the weight of the water:

density = mass/volume

mass = density x volume

The mass of the water is then:

m = density x V

Next, we need to find the pressure at the bottom of the basin, which is equal to the weight of the water divided by the area of the base of the basin:

pressure = weight/area

We can then use Bernoulli's equation to relate the pressure at the bottom of the basin to the pressure at the exit pipe:

pressure + 1/2(density)(velocity²) + density(g)(height) = constant

where velocity is the speed of the water flowing out of the pipe, g is the acceleration due to gravity, and height is the height of the water above the exit pipe.

At the bottom of the basin, the velocity of the water is zero, so the second term on the left-hand side of the equation is zero. Also, since the exit pipe is at the same level as the bottom of the basin, the height term is also zero. Therefore, the equation simplifies to:

pressure = constant

which means that the pressure at the exit pipe is equal to the pressure at the bottom of the basin.

Now we can use the pressure at the bottom of the basin and the area of the exit pipe to find the force required to lift the plug:

force = pressure x area

Finally, we need to convert the force to the weight of the plug, which is given by:

weight = force/g

where g is the acceleration due to gravity.

Putting all of these steps together, we get:

V = πr²h = π(0.06m)²(0.03m) = 3.4 x 10⁻⁴ m³

m = density x V = 1000 kg/m³ x 3.4 x 10⁻⁴ m³ = 0.34 kg

pressure = weight/area = m(g)/area = (0.34 kg)(9.8 m/s²)/(12 x 10⁻⁴ m²) = 2.8 x 10³ Pa

force = pressure x area = (2.8 x 10³ Pa)(12 x 10⁻⁴ m²) = 0.34 N

weight = force/g = 0.34 N/9.8 m/s² = 0.034 kg

Therefore, the weight of the plug is 0.034 kg, or approximately 34 grams.

(Please could you kindly mark my answer as brainliest)

Answer:

To calculate the energy needed to raise the temperature of the water, we can use the following formula:

Q = m * c * ΔT

where:

Q = energy (in joules)

m = mass (in kilograms)

c = specific heat capacity (in joules per kilogram per degree Celsius)

ΔT = change in temperature (in degrees Celsius)

We are given:

m of water = 0.40 kg

ΔT = (40 - 15) = 25 °C

m of container = 0.20 kg

c of aluminum = 900 J/kg°C

First, we need to calculate the energy needed to raise the temperature of the container:

Q1 = m1 * c1 * ΔT

Q1 = 0.20 kg * 900 J/kg°C * 25 °C

Q1 = 4500 J

Next, we need to calculate the energy needed to raise the temperature of the water:

Q2 = m2 * c2 * ΔT

Q2 = 0.40 kg * 4186 J/kg°C * 25 °C

Q2 = 41860 J

The total energy needed is the sum of Q1 and Q2:

Q = Q1 + Q2

Q = 4500 J + 41860 J

Q = 46360 J

Therefore, the energy needed to raise the temperature of 0.40 kg of water in an aluminium container of mass 0.20 kg from 15 degrees to 40 degrees is 46360 J.

Explanation:

The ray diagram of the lens at 2f is shown in the image attached.

A ray diagram is a diagram used to illustrate the behavior of light as it travels through a system of optical components such as lenses, mirrors, or prisms. The diagram shows the path of light rays from an object, through the optical system, to form an image.

Ray diagrams are commonly used in optics to predict the behavior of light and to design optical systems for various applications, such as telescopes, microscopes, cameras, and eyeglasses.

Learn more about ray diagram:https://brainly.com/question/12013737

#SPJ1

The following theories contributed significantly to a more full knowledge of black body radiation. Light is made up of separate pieces that must be absorbed together.

A black body is an object that absorbed all radiation falling on it at all wavelengths. When a black body is at a constant temperature, its emission exhibits a temperature-dependent frequency distribution. It emits what is known as black-body radiation.

One of the first experiments that led to quantum mechanics was blackbody radiation. It all started with the basic observation that when you heat a metal, it first turns red, then yellow, and finally white hot as the temperature rises.

To know more about black body radiation visit:

https://brainly.com/question/10260243

#SPJ9

Answer:

a=  2.97m/s²

Explanation: mg = (M+m)a, with M the mass of the g

a= 100(230+100)g .

The impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut.

What exactly does velocity mean?

The speed at which a body or object is moving determines its direction of motion. Most of the time, speed is a scalar quantity. In essence, velocity is a vector quantity. The rate at which distance changes is what it is. It is the rate at which displacement is changing.

I. The velocities will not be same

II.  Initial momentum = final momentum

      0 = Momentum of Astronaut + Momentum of Wrench

Momentum of Astronaut  =  - Momentum of Wrench

so equal and opposite

this statement is correct.

III. Impulse  = change in momentum

As momentum is equal and opposite impulse will also be equal and opposite.

This statement is also correct.

the impulse applied to the wrench is equal and opposite to the impulse applied to the astronaut.

Learn more about velocities

brainly.com/question/17127206

#SPJ1