A hiker starts at his camp and moves the following distances while exploring his surroundings: 74.0 m north, 2.20 ? 10² m east, 1.20 ? 10² m at an angle 30.0

how does the prescence of an idler gear affect the relationship between a driver gear and a driven gear in a gear train?

Inside a NASA test vehicle, a 3.50-kg ball is pulled along by a horizontal ideal spring fixed to a friction-free table. The force constant of the spring is 227 N/m . The vehicle has a steady acceleration of 5.00 m/s2, and the ball is not oscillating. Suddenly, when the vehicle's speed has reached 45.0 m/s, its engines turn off, thus eliminating its acceleration but not its velocity.

A. Find the amplitude.

B. Find the frequency of the resulting oscillations of the ball. (i already found the answer for this to be 1.28 Hz)

C. What will be the ball's maximum speed relative to the vehicle?

Where is the image in a plane mirror formed?

Your friend Noelle suggests the following hypothesis: "The image of an object formed by a plane mirror is formed on the surface of the mirror." Design an experiment to test Noelle's hypothesis.

Available equipment: Plane mirror, object, masking tape, paper, meter stick.

Design and describe the experiment that you plan to perform. Remember that your prediction of the outcome if the expirement must allow from the hypothesis you are testing. Then perform the experiment and record the outcome. Explain the outcome using a ray diagram. Discuss whether the outcome agrees or disagrees with the prediction. If it disagrees, how would you convince Noelle that her idea has been disproven?

Calculate the maximum rate at which a rocket can expel gases if its acceleration cannot exceed seven times that of gravity. The mass of the rocket just as it runs out of fuel is75800 kg, and its exhaust velocity is 2.00 ? 10³ m/s. Assume that the acceleration of gravity is the same as on the earth's surface (9.80 m/s²).

A cart with mass 330 g moving on a frictionless linear air track at an initial speed of 2.1 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 1.05 m/s. 1.) What is the mass of the second cart? 2.)What is its (second cart) speed after impact? 3.)What is the speed of the two-cart center of mass?

Consider a small sized company that is interested in setting up a network for their business. The company has a total of 350 employees: 250 employees are located on five floors of the HQ building based in Chicago, and the other 100 employees are located on two floors in a building in Seattle. The two sites are connected using a WAN link. Each employee has a desktop and an IP phone on their desk. In each office (building), there are four servers, the first for engineering development, the second for manufacturing, the third for the company’s external website, and the fourth for management, sales, marketing, and personnel databases. The servers in the Seattle office are backup servers for the servers in the Chicago HQ; if any server fails in HQ, its functionality fails over to the corresponding server in Seattle. There should be three LANs, one for the engineering department, one for manufacturing department, and one for marketing and administration. The engineering department has 200 employees in total (150 in Chicago, 50 in Seattle), and its LAN hosts the engineering development server. The manufacturing department has 100 employees in total (70 HQ, 30 Seattle), and its LAN hosts the manufacturing server. The last LAN hosts the remaining two servers, and has 30 employees in Chicago and 20 employees in Seattle. All these LANs are wired LANs. Additionally, the Chicago office has a guest WLAN that can serve up to 63 connections, while the Seattle office has a guest WLAN which serves up to 30 connections. The company has been assigned the IP address range 216.244.168.0 to 216.244.175.255. The IP addresses 216.244.175.254 and 216.244.175.253 are reserved for the two end points of the WAN link.
1. Describe the networking requirements for this company as a Network Administrator.
2. Design a network and specify the IP address range for each LAN/WLAN.

3. Suppose an engineer in HQ opens a telnet session with the engineering development server (in HQ). Describe in detail the traffic flow.
4. Suppose an engineer in HQ pings the manufacturing server in the manufacturing LAN in HQ. Describe in detail the traffic flow.
5. Suppose an engineer in HQ pings the manufacturing server in the manufacturing LAN in Seattle. Describe in detail the traffic flow.
6. Write down the routing table of the router to which the engineering LAN is connected to in HQ. The routing information in this table should ensure network-wide IP connectivity between any pair of hosts. The table should include these fields: destination network address, netmask, next hop address/outgoing interface, hop count to destination (including the destination subnet).

1. An object is 30 cm in front of a converging lens with a focal length of 10 cm. Use ray tracing to

determine the location of the image. Is the image upright or inverted? Is it real or virtual?

2. An object is 6.0 cm in front of a converging lens with a focal length of 10 cm. Use ray tracing to

determine the location of the image. Is the image upright or inverted? Is it real or virtual?

3. An object is 20 cm in front of a diverging lens with a focal length of 10 cm. Use ray tracing to

determine the location of the image. Is the image upright or inverted? Is it real or virtual?

4. An object is 15 cm in front of a diverging lens with a focal length of 10 cm. Use ray tracing to

determine the location of the image. Is the image upright or inverted? Is it real or virtual?

A standard violin string is 32.8 cm long from the tuning peg to the bridge. When played open(without pressing a finger against the fingerboard), this string has a fundamental (lowest)frequency of 440 Hz.

(a) What is the wavelength of the wave at this frequency? (Hint: the lowest frequency is alsothe longest wavelength that can produce a standing wave.) b.

(b) What is the speed of the wave on the string? (Hint: this is not the speed of sound!)c.

(c) How far from the end of the string should a finger be placed in order to produce afundamental frequency of 523 Hz.

1) Two planets, A and B, with unknown masses are uniformly rotating around a star maintaining a fixed distance of 4 million kilometers and 5 million kilometers respectively from the star. In the following answer boxes, enter the work done by that star on the two planets, A and B, respectively:

Answer 1 of 2:

Answer 2 of 2:

Can an eccentricity be negative?

3 During a lunar eclipse the moon is in the shadow of the Earth. Why does the moon have a faint red color during the eclipse?

4 Why is the lettering on the front of an ambulance “backwards”

A student on a piano stool rotates freely with an angular speed of 3.05 rev/s . The student holds a 1.05 kg mass in each outstretched arm, 0.779 m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.53 kg⋅m2 , a value that remains constant.

Calculate the initial kinetic energy of the system.

Calculate the final kinetic energy of the system.

Please list every steps

From the end of a string (whose other end is firmly attached to the ceiling) we attach a mass m1.Similarly, we attach a mass m2 from the end of a different string. Both strings have equal lengths and the masses are barely in contact when they are hanging freely. We pull out both masses so that they form angles θ1and θ2, respectively, with their equilibrium (vertical) positions. We then release the masses such that there is an elastic, heads-on collision when they reach their lowest point. If, after this collision, the masses return to their initial positions given by those angles θ1and θ2, find the ratio of the two masses, m1/m2.

If you spill some water on the kitchen floor, it's obviously very slippery. Yet when you want to turn the pages over in a magazine, you put some water on your hands and it becomes really easy to grip!