How much energy Δ? would be required to move the Moon from its present orbit around Earth to a location that is twice as far away? Assume the Moon’s orbit around Earth is nearly circular and has a radius of 3.84×108 m.

Children playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 4.80 m above the parking lot, and the school building's vertical wall is h = 6.30 m high, forming a 1.50 m high railing around the playground. The ball is launched at an angle of θ = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) A man on the ground kicking a ball to children on a flat rooftop is shown. The distance between the man and the building is labeled d. The height of the building is labeled h. The motion of the ball is depicted as a parabola originating from the man on the ground and ending at the rooftop. The vector of the initial motion of the ball makes an angle θ with the horizontal. (a) Find the speed (in m/s) at which the ball was launched. 18.12698 Correct: Your answer is correct. m/s (b) Find the vertical distance (in m) by which the ball clears the wall. 1.833 Correct: Your answer is correct. m (c) Find the horizontal distance (in m) from the wall to the point on the roof where the ball lands. 4.06 Correct: Your answer is correct. m (d) What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(θ) = 1 + tan2(θ).) 37.45 Incorrect: Your answer is incorrect. What is the final x-position? The final y-position? How much time does it take the ball to travel to the final x-position in terms of the angle? Using this result in the equation for the final y-position, you should be able to write a quadratic equation for tangent of the angle. Be sure to use the trigonometric identity in the hint. ° above the horizontal (e) What would be the horizontal distance (in m) from the wall to the point on the roof where the ball lands in this case?

Two cannons are mounted as shown in the drawing and rigged to fire simultaneously. They are used in a circus act in which two clowns serve as human cannonballs. The clowns are fired toward each other and collide at a height of 1.05 m above the muzzles of the cannons. Clown A is launched at θA = 76.0° angle, with a speed v0A = 9.50 m /s. The horizontal separation between the clowns as they leave the cannons is d = 5.55 m. Find the launch speed v0B and the launch angle θB (>45.0°) for clown B. magnitude m/s direction °.

I need an analysis and a complete description of the physics of the mass and magnet falling through the conducting tube demonstration.

1. Describe what a grounding wire does. ( In detail)

2. Is electrostatics a contact or field force? And how do we know that?

Consider a particle with initial velocity v? that has magnitude 12.0 m/s and is directed 60.0 degrees above the negative x axis.

A) What is the x component v? x of v? ? (Answer in m/s)

B) What is the y component v? y of v? ? (Answer in m/s)

C) Now, consider this applet. Two balls are simultaneously dropped from a height of 5.0 m.How long tg does it take for the balls to reach the ground? Use 10 m/s2 for the magnitude of the acceleration due to gravity.

To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as in the figure below. The belt is a 160 turn coil. When the patient inhales, the area encircled by the coil increases by 40.0 cm2. The magnitude of earth's magnetic field is 50.0

At the Earth's surface, a projectile is launched straight up at a speed of 10.5 km/s. To what height will it rise? Ignore air resistance

The interior of a refrigerator has a surface area of 4.8 m2. It is insulated by a 2.2 cm thick material that has a thermal conductivity of 0.0115 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done

What does taking the derivative of a function tell you about the function? Is a derivative a local property in the sense that you can define the derivative of a function f(x) at x?

What does integrating a function tell you? Is an integral a local property in the sense that you can define the integral of a function f(x) at x?

If you first differentiate a function and then integrate it, are you going to get the same function back that you started with?

Find the magnetic field B inside of an infinite cylinder of radius R with uniform current density J

Your apparent weight is the force you feel on the bottoms of your feet when you are standing. Due to the Earth's rotation, your apparent weight is slightly more when you are at the South Pole than when you are at the equator. What is the ratio of your apparent weights at these two locations? Carry three significant figures in your calculation.

Derive the formula for the magnetic field of a solenoid using Ampere’s

law. Be sure to draw a diagram showing the solenoid, magnetic field and Amperean loop.

Explain how you use the loop to compute the enclosed current and circulation of the B field.

(On which sides is the dot product of B and dl zero, and why?)

A charge of -3.40 nC is placed at the origin of an xy-coordinate system, and a charge of 1.60 nC is placed on the y axis at y = 4.50 cm .

a-If a third charge, of 5.00 nC , is now placed at the point x = 3.15 cm , y = 4.50 cm find the x and y components of the total force exerted on this charge by the other two charges. ?

b-Find the magnitude of this force.

c-Find the direction of this force.

The time of flight of a ball thrown horizontally change if the initial velocity change? If it does why?