Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasing at a constant rate of 14.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.900 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.

Find the magnitude of the emf E induced in the loop after exactly time 9.00 s has passed since the circumference of the loop started to decrease. Express your answer numerically in volts to three significant figures.

A projectile is launched from ground level at angle θ and speed v_0 into a headwind that causes a constant horizontal acceleration of magnitude a opposite the direction of motion.

Find an expression in terms of a and g for the launch angle that gives maximum range.

The answer is θ = 45 - (1/2)tan^-1(a/g)

The problem that I'm having is I have no idea how to get to that answer. Please do the problem and tell me where you got each equation and what you are doing on each step. I'm beyond confused as to how to get to that answer.

Thanks

Discuss the following topics:

1. Rotational Dynamics : Angular displacement, Angular velocity, angular acceleration.

2. Rigid Body and Moment of Inertia

3. Angular Momentum, conservation of Angular Momentum and Torque with some examples of applications.

4. Mechanical Equilibrium and conditions of equilibrium

5. Elasticity, Plasticity and Hooke's Law

6. Parallel Forces and net torque

7. Coefficient of Elasticity, stress, and strain.

A ball of mass 2.00 kg, resting on a horizontal frictionless surface, gets hit by another ball of mass 1.50 kg moving in the +x-direction with a speed 4.00 m/s. After the collision, the 1.50 kg ball has a speed of 2.00 m/s at an angle 60.0° counterclockwise from the +x-direction.

1. a) Find the velocity of the 2.00 kg ball just after the collision. Express your answer in vector form.

2. b) Compute the percent of kinetic energy lost in the collision.

1. With the aid of a simple diagram: (i) illustrate how interference is observed with Llyod's mirror apparatus. Describe expressions to locate the minima and maxima in the interference pattern.

With the aid of a suitable diagram (ii) explain how a thin film of refractive index n can be used as an anti-reflective coating on a glass lens with refractive index ng.

One of the most important recent discoveries in astronomy has been our finding thousands of exoplanets, planets that orbit other stars besides the Sun. When a massive planet orbits a star, it will cause a wobble in its motion affecting the ____________ we measure over time. When a bigger planet blocks the light of the star as it _______, that can tell us the size of the planet and its __________. A type of planet that we don’t have in the solar system, but turns out to be common elsewhere is one that has two to ten times the mass of the planet we live on, called a ______________. One of the most challenging categories of exoplanets that we don’t have in our solar system is a type of planet with the mass of a giant planet in our system but orbiting very close to its star, called a ______________.

At a tensile strength of 1000 MPa, the material with the lowest embodied energy is

can you please describe how SHM is different from general oscillation?

Explain hydrolysis, i.e, what types of molecules undergo hydrolysis (be specific) and show equations for reactions of acid, base, and salt hydrolysis not used as examples in the introduction to this experiment.

write two pages presentation about accelerator physics.

Why are stars visible from the northern cities different from the stars that are visible in southern cities?

Four identical masses of mass 700 kg each are placed at the corners of a square whose side lengths are 15.0 cm.

Part A) What is the magnitude of the net gravitational force on one of the masses, due to the other three?

Part B) What is the direction of the net gravitational force on one of the masses, due to the other three?

-toward the center of the square

-outward the center of the square

Free Fall on Different Worlds Objects in free fall on the earth have acceleration ay=−9.8m/s2ay=−9.8m/s2. On the moon, free fall acceleration is approximately 1/61/6 of the acceleration on earth. This changes the scale of problems involving free fall. For instance, suppose you jump straight upward, leaving the ground with velocity vivi and then steadily slowing until reaching zero velocity at your highest point. Because your initial velocity is determined mostly by the strength of your leg muscles, we can assume your initial velocity would be the same on the moon. But considering the equation h=v22gh=v22g we can see that, with a smaller free-fall acceleration, your maximum height would be greater. The following questions ask you to think about how certain athletic feats might be performed in this reduced-gravity environment.

A) If an astronaut can jump straight up to a height of 0.6 mm on earth, how high could he jump on the moon?

B) On the earth, an astronaut can safely jump to the ground from a height of 1.2 mm ; her velocity when reaching the ground is slow enough to not cause injury. From what height could the astronaut safely jump to the ground on the moon?

C) On the earth, an astronaut throws a ball straight upward; it stays in the air for a total time of 2.3 ss before reaching the ground again. If a ball were to be thrown upward with the same initial speed on the moon, how much time would pass before it hit the ground?

As a 16,000 kg jet plane lands on an aircraft carrier, it’s tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 6.0 x 10⁴ N/m.

(a) If the spring stretches 32 m to stop the plane, what was its landing speed.

（b) A second, identical plane, attempts to land with the same speed, but when the spring is stretched halfway, to only 16 m, a defect causes the cable to snap. What speed had the plane slowed to before the cable broke?