You are given a vector in the xy plane that has a magnitude of 89.0 units and a y component of -60.0 units.

What are the two possibilities for its x component?

Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction.

Specify the direction of the vector.

An explosion breaks an object into two pieces, one of which has 2.30 times the mass of the other. If 7700 J were released in the explosion, how much kinetic energy did each piece acquire(a) Calculate the velocity of the target ball after the collision.

heavier piece? ___J

lighter piece? ____J

A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. Afterward it is found that the incoming ball has bounced backward with a speed of 6.3 m/s.

(a) Calculate the velocity of the target ball after the collision
____m/s
(b) Calculate the mass of the target ball.
____ kg

A 707 kg car stopped at an intersection is rear-ended by a 1830 kg truck moving with a speed of 11.5 m/s. If the car was in neutral and its brakes were off, so that the collision is approximately elastic, find the final speed of both vehicles after the collision.
____ m/s (car)
____ m/s (truck)

If we dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

Pro Tips

Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3

Coefficient of drag (flat plate, NASA) = C(d) = 1.28

Weight = W = 4451 lbs

Gravitation constant = g = 32.2 ft/sec^2

Area = A = 197.5" long x 78.2" wide x (1 ft^2/ 144 in^2)

Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity

Horsepower needed to accelerate is AVERAGE - not peak

100% driveline efficiency

A hollow aluminum cylinder 24.5 cm deep has an internal capacity of 2.000 L at 17.0°C. It is completely filled with turpentine at 17.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 69.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10⁻⁶°C⁻¹, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10⁻⁴°C⁻¹.)

(a) How much turpentine overflows?

_______cm^3

(b) What is the volume of turpentine remaining in the cylinder at 69.0°C? (Give your answer to at least four significant figures.)

___________L

(c) If the combination with this amount of turpentine is then cooled back to 17.0°C, how far below the cylinder's rim does the turpentine's surface recede?
____________cm

a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north or east from the old oak tree. (2) Turn 45 degrees to your left (you should now be facing 75degrees north of east) and walk another fifty meters. You will find the treasure buried under a rock. What straight-line path would take you directly from the old oak tree to the rock with the treasure buried under it?

b) You followed the first direction on the treasure map correctly but after trying to follow the second direction, you do not find a rock with treasure buried under it. Instead, you are standing in a mudhole 92.4 meters 7.50 degrees north of east from the oak tree. What was the erroneous path (distance and direction) you took for the second part of the directions? What mistake did you make in following the directions on the treasure map?

Let's use the Bohr model equations to explore some properties of the hydrogen atom. We will determine the kinetic, potential, and total energies of the hydrogen atom in the n=2 state, and find the wavelength of the photon emitted in the transition n=2?n=1.

Find the wavelength for the transition n=5 ? n=4 for singly ionized helium, which has one electron and a nuclear charge of 2e. (Note that the value of the Rydberg constant is four times as great as for hydrogen because it is proportional to the square of the product of the nuclear charge and the electron charge.)

Express your answer in nanometers to three significant figures.

Calculate the binding energy per nucleon for 55Mn, 9Be, 14N, and 7Li. (For the atomic masses, see this table. Enter your answers to at least two decimal places.) (a) 55Mn MeV/nucleon (b) 9Be MeV/nucleon (c) 14N MeV/nucleon (d) 7Li MeV/nucleon

wasnt provided a table

14.4 15.0 L of an ideal monatomic gas at 3.00 atm and 450 K are contained in a cylinder with a piston. The gas first cools isochorically to 270 K (step 1). It then expands isobarically back to its original temperature (step 2), and then contracts isothermally back to its original volume (step 3). a) Show the series of processes on a pV diagram. b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the p and V values on the pV diagram. c) Compute the total work done by the gas on the piston during each step of the cycle in L - atm, and the total work done by the gas for one complete cycle. d) Compute the heat added during each step of the cycle in L - atm, and the net heat added for one cycle. Compare the total work done with the net heat added. e) Is this an engine or a refrigerator? If it is an engine, what is its efficiency; if it is a refrigerator, what is its coefficient of performance?

1.16 [1pt] Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric field lines and indicate the value of electric field 1 m away from the plane

1.16 ANSWER

1.17 [1pt] Let’s add a point charge of-1C, at a distance 1 m from the plane in problem 1.18. What would be the force onto the charge?

1.17 ANSWER

1.18 [2pt] How much work will it take to remove the point charge in 1.17 from where it was infinitely far away from the plain. Explain your answer to the best of your knowledge.

1.18 ANSWER

Consider a conducting sheet with dimensions 1m by 1m by 1mm. A charge of 1 C was deposited into it, assume it is spread uniformly along the surface.

1.19 [1pt] What is electric field inside the sheet?

1.19 ANSWER

1D Kinematics Problem: An object moves along the x axis according to the equation

x = 2.80t² − 2.00t + 3.00,

where x is in meters and t is in seconds.

(a) Determine the average speed between t = 2.10 s and t = 3.40 s.


(b) Determine the instantaneous speed at t = 2.10 s.


Determine the instantaneous speed at t = 3.40 s.


(c) Determine the average acceleration between t = 2.10 s and t = 3.40 s.


(d) Determine the instantaneous acceleration at t = 2.10 s.

Determine the instantaneous acceleration at t = 3.40 s.


(e) At what time is the object at rest?

A 3-kg mass of metal of specific heat = 0.1 kcal/kg°C at a temperature of 600°C is dropped into 1.0 kg water at 20°C. With no heat losses to the surroundings, determine the equilibrium temperature of the mixture, and if it is 100°C, calculate what mass of water is turned into steam at this temperature.

Group of answer choices 100°C and 110 g of steam 100°C and 150 g of steam 100°C and 130 g of steam 100°C and 70 g of steam The equilibrium temperature is not 100°C.

Calculate the necessary heat to take an ice cube (side length = 2.54cm) from -40.0degreesC to135.0 degrees C. Calculate the heat necessary to take the ice to melting point.

IP A charge of 21.0 μC is held fixed at the origin. Part A If a -7.00 μC charge with a mass of 3.50 g is released from rest at the position (0.925 m, 1.17 m), what is its speed when it is halfway to the origin? v = m/s Previous AnswersRequest Answer Incorrect; Try Again; 11 attempts remaining Part BPart complete Suppose the -7.00 μC charge is released from rest at the point x = 12(0.925m) and y = 12(1.17m). When it is halfway to the origin, is its speed greater than, less than, or equal to the speed found in part A? Greater than the speed found in part A Lee than the speed found part in A Equal to the speed found in part A Previous Answers Correct Part C Find the speed of the charge for the situation described in part B. v = m/s

Direction of ?⃗: For each of the following find the direction of ?, ?? ?? , and ?.

(a) An infinite sheet in the ?-? plane that has current density ? = ?? ̂?. Find the directions of the fields:

i. above the sheet

ii. below the sheet

(b) A long solenoid that has a current that changes linearly from ? = ??̂to ? = −??̂in some time ? . Find the directions of the fields:

i. inside the solenoid

ii. outside the solenoid

(c) A long thin wire along the ?-axis has a constant current ? ̂? running through it. The current is suddenly turned off such that it decreases to zero in a short amount of time. (Assume the decrease in current is linear). Find the directions of the fields:

i. before the current is turned off

ii. after the current has reached zero