Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude 98 N inclined at 139 o , measured from the positive x axis with counterclockwise positive.

Find the direction of this resultant vector (between the limits of 0 and −180◦ from the positive x-axis). Answer in units of o . Your answer must be within ± 5.0%

Kirchhoff’s Junction Rule is a consequence of the law of Conservation of Electric Charge. Explain why.

a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m . At t=0.2s, the displacement x=-0.3m, and the velocity v=-2.0m/s

a) find the equation of displacement as a function of time

b) sketch the displacement as a function of time for the first cycle starting t=0s

A diverging lens has a focal length of -30.0cm. Located the images for object distances of (a) 60.0cm (b) 30.0cm (c) 15.0cm. What kind of images are they (real or virtual; upright or inverted)? (d) Draw a ray diagram for part (a).

1- What is the maximum voltage that can be applied across a 2.3-kΩkΩ resistor rated at 1414 watt?

Express your answer to two significant figures and include the appropriate units.

2- A certain copper wire has a resistance of 19.0 ΩΩ . At some point along its length the wire was cut so that the resistance of one piece is 7.0 times the resistance of the other.

Determine the length of the short piece.Express your answer using two significant figures.----------- %%of the length of the wire.

3-

Calculate the ratio of the resistance of 11.0 mm of aluminum wire 2.3 mmmm in diameter, to 23.0 mm of copper wire 1.6 mmmm in diameter. The resistivity of copper is 1.68×10−8Ω⋅m1.68×10−8Ω⋅m and the resistivity of aluminum is 2.65×10−8Ω⋅m2.65×10−8Ω⋅m.

Express your answer using two significant figures.

Two stationary positive point charges, charge 1 of magnitude 3.10 nC and charge 2 of magnitude 1.80 nC , are separated by a distance of 42.0 cm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. What is the speed vfinal of the electron when it is 10.0 cm from charge 1?

A box of mass sits on the floor of an elevator. The area of the bottom surface of the box is 0.250 m2. When the elevator is moving upward at a constant speed of 2.00 m/s the pressure the box exerts on the floor is 981 pascal. (Note: One Pascal equals one Newton per square meter; 1 Pa = 1 N/m2). Calculate the pressure the box exerts on the floor while the elevator a. slows uniformly from an upward speed of 2.00 m/s to zero in 3.00 seconds. b. accelerates uniformly from rest to a downward speed of 2.00 m/s in 3.00 seconds. c. slows uniformly from a downward speed of 2.00 m/s to zero in 3.00 seconds. d. is moving downward at a constant speed of 2.00 m/s e. accelerates uniformly from rest to an upward speed of 2.00 m/s in 3.00 seconds f. is at rest.

How effective would a thermonuclear device of 47 megatons or higher like the zsar bomba be in space?

Could we use as planetary defence on somthing like an asteroid as long as it is detected in time and what effect if any would it have on our planet and our satellites in orbit?

A model rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 91.3 m/s2 for 1.79 seconds, at which point its fuel abruptly runs out. Air resistance has no effect on its flight. What maximum altitude (above the ground) will the rocket reach?

A device connected in a parallel circuit will undergo a higher voltage drop compared to the same device connected in a series circuit. is this true or false, and also why does this occur?

In two paragraphs, compare and contrast the atmospheres of the inner planets. Explain the important conditions leading to the differences of these atmospheres.

Keep in brief and short. Thank you.

A charge of -2.75 µC is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass, which has a radius of 0.092 m. The charges on the circle are -4.3 µC at the position due north and +5.25 µC at the position due east. What are the magnitude and direction of the net electrostatic force acting on the charge at the center? Specify the direction relative to due east.

Assume you have a somewhat idealized J-band system with spectral response of 0.8 from 1.15 through 1.35 mm and zero outside this range.

What is the effective (mean) wavelength?

Select the situations from the list below in which mechanical energy is conserved.

A ball sliding down a hill with friction.

The Moon orbiting the Earth.

A ball sliding down a frictionless hill.

A child swinging on a frictionless swing, ignoring air resistance.

A ball that is dropped from a certain height and bounces back to a lower height.

An ice skater gliding along the ice.

Someone else posted this but the answer isn't correct.

You are an astronaut in the space shuttle pursuing a satellite in need of repair. You are in a circular orbit of the same radius as the satellite (420 km above the Earth), but 24 km behind it.

(a) How long will it take to overtake the satellite if you reduce your orbital radius by 1.0 km?

___________ hr

(b) By how much must you reduce your orbital radius to catch up in 7.0 hours?
___________ m