an airline employee tosses two suitcases in rapid succession, with a horizontal velocity of 7.2 ft/s, onto a 50-lb baggage carrier which is initially at rest. (a) knowing that the final velocity of the baggage carrier is 3.6 ft/s and that the first suitcase the employee tosses onto the carrier has a weight of 30 lb, determine the weight of the other suitcase. (b) what would be the final velocity of the carrier if the employee reverses the order in which he tosses the suitcases?

Your sleep cycles between REM & NREM sleep around every 90 minutes throughout an average night. Approximately 25% of sleep time is spent in the REM period.

In most cases, you need to be asleep for roughly 90 minutes before you enter a Melatonin production state. REM periods lengthen during the night, but notably in the second half. The initial stage of REM sleep may only last a few minutes, while later stages might endure for up to an hour.

The goal is to set your bedtime to coincide with your 90-minute sleep cycles so that you awaken feeling more rested after having experienced REM sleep, which is when we have organized dreams.

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Answer: the last three people ran faster than 5 meters per second

Explanation: moo

All of the above.

For example:

A glass plate is a solid. Particles vibrate in a solid and are closely packed. together.

It doesn’t change shape if you touch it.

It doesn’t change volume like it’s water.

Answer:

D: all of the above

Explanation:

particles in a solid do vibrate but they're tightly packed and move around fixed location

The process of gas compression is responsible for planet formation within the disk of gas and dust that surrounds a proto-star.

When a new born star is produced it has high gravity that pulls the gases and dust material from its surrounding with greater force.

Due to gravity pull, the residual gases and dust start accumulating in the flat disk of matter revolving around the star.

This process continues until the matter orbiting the star becomes strong enough to compress the gases into dense heavies bodies known as planets.

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The acceleration of an object can be split into two components: the tangential and normal components. The tangential component points along the direction of motion and is responsible for changing the speed of the object. The normal component is perpendicular to the direction of motion and is responsible for changing the direction of motion.

In your skiing example, the direction of your acceleration will change as you move uphill, downhill, up a ramp, and make a turn. Therefore, the tangential and normal components of your acceleration will also change in direction and magnitude.

As you ski uphill, your acceleration will be pointing in the opposite direction of your motion, resulting in a negative tangential acceleration. Since your motion is mostly vertical, your normal acceleration will be pointing upwards.

As you ski downhill, your acceleration will be in the same direction as your motion, resulting in a positive tangential acceleration. Your normal acceleration will still be pointing upwards.

When you go up a ramp, your acceleration will be a combination of tangential and normal components. The tangential component will be pointing upwards to match your velocity, and the normal component will be pointing perpendicular to the ramp.

When you land, your acceleration will be mostly normal, as you decelerate your downward motion and start to move horizontally.

Finally, when you make a turn, your tangential acceleration will be pointing in the direction of the turn, while your normal acceleration will be perpendicular to the turn.

Overall, the direction and magnitude of the tangential and normal components of your acceleration will depend on the direction and magnitude of your velocity and the curvature of your path.

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The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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Take the upward and to-the-right directions to be positive (so down and to-the-left are negative).

The vertical forces acting on the object cancel, 6 N - 6 N = 0.

The horizontal forces exert a net force of 20 N - 3 N = 17 N. This net force is positive, so it points to the right. So the answer is A.

Answer:

A molecule is an electrically neutral group of two or more atoms held together by chemical bonds. Molecules are distinguished from ions by their lack of electrical charge.

Explanation:

Answer:

Drinking water

Our foods

Washing clothes

Answer:

3.26 m/s²

Explanation:

Draw a free body diagram.  There are four forces:

Weight force mg pulling down,

Normal force N pushing up,

Applied force F pushing right,

Friction force Nμ pushing left.

Sum of forces in the y direction:

∑F = ma

N − mg = 0

N = mg

Sum of forces in the x direction:

∑F = ma

F − Nμ = ma

F − mgμ = ma

Plug in values:

102 N − (2.8 kg + 12.8 kg) (9.8 m/s²) (0.335) = (2.8 kg + 12.8 kg) a

a = 3.26 m/s²

The required rank is; a. Mars, b. Earth, c. Moon, d. Venus,e. Mercury

The natural process of wind erosion involves the movement of dirt from one place to another. Significant economic and environmental harm may result from it.

Wind erosion is primarily caused by the combination of wind speed and wind duration. On Mars, wind speeds can reach up to 60 meters per second and has a thin atmosphere which allows it to erode the surface. Earth has strong winds in certain regions, but not enough to cause significant erosion.

The Moon and Venus have very little or no atmosphere, therefore no wind erosion occurs.

Mercury has a very thin atmosphere, but wind speeds are not enough to cause significant erosion.

Thus, required rank is;

a. Mars

b. Earth

c. Moon

d. Venus

e. Mercury

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The impulse delivered to the roof is  -0.115 Ns and the magnitude of the force of the impact is -31.17 kN.

a. Impulse is defined as the product of the force acting on an object and the time over which the force is applied. In this case, the impulse delivered to the roof is the product of the force acting on the raindrop and the time it takes for the raindrop to come to a stop after hitting the roof. Since we don't know the time of impact, we can use the impulse-momentum theorem which states that the impulse of a force acting on an object is equal to the change in momentum of the object.

The impulse delivered to the roof is given by J = Δp = pf - pi

The initial momentum of the raindrop is given by pi = m * vi = 0.014g * 8.1 m/s = 0.115 Ns

Since the final velocity of the raindrop is zero (it comes to rest), the final momentum is zero. Therefore, the impulse delivered to the roof is J = pf - pi = 0 Ns - 0.115 Ns = -0.115 Ns

b. To find the force of the impact we can use the equation: F = J/t

where F is the force of the impact, J is the impulse delivered to the roof, and t is the time it takes for the raindrop to come to a stop after hitting the roof.

We have that t = 0.37 ms = 0.00037 s

So F = J/t = -0.115 Ns / 0.00037 s = -31167.57 N or -31.17 kN

Here, the negative sign of the force tells us that the force is opposite to the direction of motion, which means that the force is acting to stop the motion of the raindrop.

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Answer:

B

explanation:

The car is not making a change in speed.

Answer:

C: Maximum potential energy is at point R

Explanation:

Just did test

If a third bulb is added in series to two light bulbs wired in series and connected to a 12-volt battery, the current through the battery will decrease and the power will decrease as well.

The voltage of a battery in a circuit is distributed among the bulbs in series. Since there is an increase in the number of bulbs, this means that the voltage of the battery has to be shared among more bulbs.

As a result, the voltage that each bulb receives will be smaller than the voltage received when only two bulbs are in the series.

As a result, the current flowing through the battery will decrease if a third bulb is added in series with two light bulbs wired in series and connected to a 12-volt battery. If a third bulb is added, the resistance in the circuit increases, causing the current to decrease.

The power will also decrease because the power produced in a circuit is proportional to the current and voltage.

This means that the power produced will decrease as the current and voltage decrease due to the addition of a third bulb in the series.

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The time needed for the hammer to reach the surface of the Earth is 3.54 s.

The time of motion is calculated as follows;

t = √(2h/g)

where;

t = √(2 x 10 / 1.6)

t = 3.54 s

Thus, the time needed for the hammer to reach the surface of the Earth is 3.54 s.

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Answer:

Advantages. It is suitable to measure low temperatures because of its freezing point is low. It is less toxic than mercury thermometer and hence high on safety factor for human and environment. It has a greater value of temperature coefficient of expansion than a mercury thermometer.

Answer:

Explanation:

What???

The statement best describes deena's error is: Find acceleration by finding the area of the rectangle above the line.

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.

In the  velocity time graph, the area under the curve shows the displacement of the object and the slope represents the acceleration.

Thus, the deena's error is  Find acceleration by finding the area of the rectangle above the line.

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Answer:

What the other dude said

Explanation:

If you had a sugar cube that was made of white dwarf matter, it would weigh about as much as an elephant.

White dwarfs are the smallest type of stars in the universe, and they have a density of around 100 million times greater than that of water. This means that if you took a sugar cube that was made entirely out of white dwarf matter and put it on your kitchen counter, it would weigh about as much as an elephant!

But don't worry—you're not going to find any white dwarfs at your local grocery store or restaurant. White dwarfs are formed when red giants collapse in on themselves after burning through their fuel. And if you did happen to find one, you'd need a really big countertop.

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Solar nebula flattening is a natural consequence of collisions between particles in a spinning cloud. therefore, option B is correct.

When a solar nebula collapses under its own gravity, it begins to spin due to the conservation of angular momentum. As the cloud spins, particles within it collide and interact. These collisions cause the cloud to flatten into a disk shape rather than remaining spherical.

Angular momentum plays a crucial role in this process. The initial slight asymmetry or irregularity in the nebula's shape leads to variations in the speeds and directions of the particles' motions. As particles collide and transfer momentum, their motion tends to align along the rotational axis of the cloud, promoting the formation of a flattened disk structure.

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The maximum tensile force exerted on any coupling in a given train, one needs to consider the factors involved and ensure that the coupling design and manufacturing meet the necessary strength requirements.

Understand the scenario
The standard coupling between railroad cars must be capable of withstanding the maximum tensile force exerted on any coupling in a given train.

Identify the factors involved
- Maximum tensile force: The highest pulling force that can be applied to a coupling without causing it to break or fail.
- Coupling: The device that connects railroad cars together, allowing them to function as a single unit.

Determine the requirements
The standard coupling between railroad cars must be designed and manufactured to be strong enough to withstand the maximum tensile force that can be exerted on it during the train's operation. This ensures the safety and reliability of the train and prevents any accidents or issues caused by a coupling failure.

In summary, to address the requirement that the standard coupling between railroad cars must be capable of withstanding the maximum tensile force exerted on any coupling in a given train, one needs to consider the factors involved and ensure that the coupling design and manufacturing meet the necessary strength requirements.

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Answer:

The penguins are gliding foward without stopping because there is no external force changing their state.

Explanation:

Newtons first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Answer:

Probably not my guy

Explanation:

Answer:

18

Explanation:

EDGE2021

The amount of compression the femur can withstand before breaking can be calculated using the following formula:

Compression = Young's Modulus x Length / \((3 x 10^8)\)

Using the given values, the amount of compression is calculated to be 8.97 mm.

To further explore this topic, you may want to learn more about Young's Modulus, which is a measure of the stiffness of a material. You can also learn about the different ways that compression can affect bones, such as by causing them to become more brittle, or increasing the risk of fracture.

Additionally, you can learn about the different types of fracture, such as compression fractures and stress fractures, and how they are treated. Finally, you can explore the effects of different types of loading on bones, such as the impact of compressive forces and the effects of repeated loading.

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Answer:

To make it around the circle, the tension in the string must provide the necessary centripetal force to keep the ball moving in a circle. At the top of the circle, the tension in the string must provide all the force to keep the ball moving in a circle. At the bottom of the circle, the tension in the string must provide the centripetal force in addition to the force of gravity.

We can use the centripetal force formula to solve for the minimum velocity: F_c = m * a_c

where F_c is the centripetal force, m is the mass of the ball, and a_c is the centripetal acceleration.

At the top of the circle, the centripetal force is equal to the tension in the string: F_c = T

where T is the tension in the string.

At the bottom of the circle, the centripetal force is equal to the sum of the tension in the string and the force of gravity:

F_c = T + mg

where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2), and T is the tension in the string.

The centripetal acceleration is given by: a_c = v^2 / r

where v is the velocity of the ball and r is the radius of the circle.

Since the circle has a radius of 0.33 m, we can substitute this into the equation for a_c: a_c = v^2 / 0.33

Combining these equations, we get:

At the top of the circle: T = m * v^2 / 0.33

At the bottom of the circle: T + mg = m * v^2 / 0.33

We can solve for the minimum velocity by using these two equations to eliminate the tension in the string: m * v^2 / 0.33 + mg = m * v^2 / 0.33

Simplifying this equation, we get: v = sqrt(0.33 * g)

Plugging in the values, we get: v = sqrt(0.33 * 9.8) = 1.81 m/s

Therefore, the minimum velocity that the ball must have to make it around the circle is 1.81 m/s

Answer:

The diameter of the gold nucleus is 3.0 × 10⁻⁵ nm

Explanation:

The given parameter of the gold atom are;

The diameter of the gold atom = 1/6,000 × The diameter of the atom

The diameter of a gold atom = 0.18 nm

The diameter of the gold nucleus, \(d_{Gold -nucleus}\) = 1/6,000 × 0.18 nm = 0.00003 nm

∴ The diameter of the gold nucleus, \(d_{Gold -nucleus}\) = 0.00003 nm = 3.0 × 10⁻⁵ nm.

Answer:

2.04m

Explanation:

PE=mgh

h= PE/mg

h= 40/2(9.82)

h=40/19.64

h=2.04

Answer:

\(20m\)

Explanation:

Formula to find the potential energy is,

Potential Energy = mgh

Here,

m = mass

g = gravitational field

h = height

According to the question, we have to find the height.

Usually, we get g is \(10ms^{-2}\)

Let us solve for the answer now.

\(P.E. =mgh\\40J =2kg*10ms^{-2} *h\\40 = 20h\\\frac{40}{20}= \frac{20h}{20} \\20m=h\)

Hope this helps you.

Let me know if you have any other questions :-)