A system of point charges includes q₁= +1 microC at x₁= 2m, y₁= 2m; q₂= -1 micro C at x₂= -3m, y₂= -3m; q₃= +3 microC at the origin.

a) What is the electrical potential (i.e. the voltage) at location x=1m, y= -1m?

b) What is the electrical potential energy UE (i.e. PE) of the system of charges?

c) What is the electrical field E_x and E_y components, magnitude E, and directional angle at x= -2m, y= 3m?

An artificial satellite of the Earth releases a bomb. Neglecting air resistance, the bomb will never strike Earth

Why never striking earth? can you explain deeply? why it will continue to orbit and never actually fall to earth?

An astronaut in an orbiting space-craft feels weightless because she has the same acceleration as the space-craft why both in free fall?

A placekicker is about to kick a field goal. The ball is 25.3 m from the goalpost. The ball is kicked with an initial velocity of 20.8 m/s at an angle θ above the ground. Between what two angles, θ₁ and θ₂, will the ball clear the 2.86-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful:
sec θ = 1/(cos θ) and sec²θ = 1 + tan²θ.)

Please help, I don't understand how to answer this question.

An insulated Thermos contains 128 g of water at 81.3 ˚C. You put in a 12.5 g ice cube at 0.00 ˚C to form a system of ice + original water. The specific heat of liquid water is 4190 J/kg•K; and the heat of fusion of water is 333 kJ/kg. What is the net entropy change of the system from then until the system reaches the final (equilibrium) temperature?

championship swimmers take about 22 seconds and about 30 arm strokes to move through the water in a 50 meter freestyle race.

A) A swimmers metabolic power is 800 W. if the efficiency for swimming is 25%, how much energy is expended moving through the water in a 50 m race?

B) if half the energy is used in arm motion and half in leg motion, what is the energy expenditure per arm stroke?

C) Model the swimmers hand as a paddle. During one arm stroke, the paddle moves halfway around a 90 cm radius circle. If all the swimmers forward propulsion during an arm stroke comes from the hand pushing on the water and none from the arm, what is the average force of the hand on the water?

D) How much cal should the swimmer consume from food for such a race?

E) How much energy would be lost in form of thermal energy?

12. Object 1 has twice the mass of Object 2. Object 2 has the same momentum as Object 1. Which of the following is true? a. One object has 0.707 times the kinetic energy of the other. b. One object has twice the kinetic energy of the other. c. One object has 4 times the kinetic energy of the other. d. Both objects have the same kinetic energy.

An object has a relativistic momentum that is 7.3 times greater than its classical momentum.

What is its speed?

Express your answer using two significant figures.

v=__________c

A worker pours 1.250kg of molten lead at a temperature of 327.3 ?C into 0.5050kg of water at a temperature of 75.00 ?C in an insulated bucket of negligible mass.

Assuming no heat loss to the surroundings, calculate the mass of lead and water remaining in the bucket when the materials have reached thermal equilibrium.

Express your answer using four significant figures.

Draw one arrangement of a current induced in a coil with a second coil and a battery. Include the way the galvanometer was hooked up. Show the current direction and how the galvanometer was used to indicate the current. Then illustrate how you can predict this using Len's Law and the Right hand rule?

Draw please.

You have two ropes with different Young’s modulus, but the same area of cross section and length. You apply the same force on both of these. The change in the length is -

A) More for the rope with higher Young’s modulus

B) Less for the rope with higher Young’s modulus

C) Same for both the ropes.

Q1: Consider the simple pendulum system, the length of the pendulum is ‘l’ and mass ‘m’ has simple harmonic motion.

1. Find the equation of motion using 2 approaches: Newtonian and Lagrangian.
2. What do you conclude?

1- A long jumper leaves the ground at an angle of 17.0

You are in a helicopter towing a 127-kg laser detector that is mapping out the thickness of the Brunt Ice Shelf along the coast of Antarctica. The original cable used to suspend the detector was damaged and replaced by a lighter one with a maximum tension rating of 304 pounds, not much more than the weight of the detector. The replacement cable would work without question in the case that the detector and helicopter were not accelerating. However, some acceleration of the helicopter is inevitable. In order to monitor the tension force on the cable to make sure the maximum is not exceeded (and therefore to not lose the very expensive detector) you calculate the maximum angle the cable can make with the vertical without the cable exceeding the tension limit. (a) Assuming straight and level flight of the helicopter, what is that maximum angle? (b) What is the corresponding acceleration? (c) Your colleague wants to add a 8.00-kg infrared camera to the detector. What is the maximum allowable angle now?

Please make sure to check your work majority of the answers I recieve on here are wrong

A steel ball is dropped from a building's roof and passes a window, taking 0.131 s to fall from the top to the bottom of the window, a distance of 1.12 m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 0.131 s. Assume that the upward flight is an exact reverse of the fall. The time spent below the bottom of the window is 1.94 s. How tall is the building?