A small boat with a speed of 23km/h relative to the water is sailing in a sea which has a speed of 15 km/h relative to the shore in a direction E 16 N. What direction is the boat heading (relative to the water) if it is going in a direction N 32.7 E (relative to the shore)?
Hint: Suggested steps: Interpret the situation in terms of the relative velocity equation, indicating the meaning of all the subscripts. Draw a diagram roughly to scale, including all of the known information and using the parallelogram rule, on the coordinate system below. Solve for unknowns using geometry and sine and cosine laws.

A charge of -3.50 nCnC is placed at the origin of an xy-coordinate system, and a charge of 1.90 nCnC is placed on the yy axis at yy = 3.65 cmcm .

Part A: If a third charge, of 5.00 nCnC , is now placed at the point xx = 2.75 cmcm , yy = 3.65 cmcm find the xx and yy components of the total force exerted on this charge by the other two charges.

Part B: Find the magnitude of this force.

Part C: Find the direction of this force.

PLEASE ACTUALLY DO IT OUT! I TRIED TO DO THE BOTTOM ANSWERS AND KEPT GETTING WRONG FOR LAST TWO.

The heating coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 375 turns.

(a) What is their total self-inductance assuming they act like a single solenoid?
H
(b) How much energy is stored in them when 11.5 A flows?
J
(c) What average emf opposes shutting them off if this is done in 4.17 ms (one-fourth of a cycle for 60 Hz AC)?
mV

Newton's 2nd law says that when a larger force is applied to an object of mass m, the object will experience a larger acceleration. At the same time, you've learned that all objects experience the same acceleration in a free fall, even if their weights (the forces of gravity acting on them) are different. That sounds like a contradiction: on one hand, from the Newton's 2nd law, a larger force means larger acceleration, on the other hand when applied to motion under gravity - a larger weight (force) means the same acceleration for all objects. How do you reconcile these statements? Why isn't it a contradiction? Does gravity violate the Newton's second law or is there another explanation. Be as thorough and clear in your explanation as possible.

A student runs an experiment with two carts on a low-friction track. As measured in the Earth reference frame, cart 1 (m = 0.48 kg ) moves from left to right at 1.0 m/s as the student walks along next to it at the same velocity. Let the +x direction be to the right.

a) What velocity v⃗ E2,i in the Earth reference frame must cart 2 (m = 0.16 kg ) have before the collision if, in the student's reference frame, cart 2 comes to rest right after the collision and cart 1 travels from right to left at 0.33 m/s?

b) What does the student measure for the momentum of the two-cart system?

c) What does a person standing in the Earth reference frame measure for the momentum of each cart before the collision?

At a particular location in your house, three appliances make sound intensity levels of 73.2 dB, 76.1 dB, and 69.2 dB individually. What is the sound intensity level at that location when they are all running at the same time?

A watermelon seed has the following coordinates: x = -6.4 m, y = 5.0 m, and z = 0 m. Find its position vector as (a) a magnitude and (b) an angle relative to the positive direction of the x axis. If the seed is moved to the xyz coordinates (3.0 m, 0 m, 0 m), what is its displacement as (c) a magnitude and (d) an angle relative to the positive direction of the x axis? Put the angles in the range (-180°, 180°].

A long, straight, copper wire with a circular cross-sectional area of
2.1 mm2
carries a current of 22 A. The resistivity of the material is 2.00 10-8?

How did Galileo use inclined planes to discover the idea of inertia?

Please respond no later than 9:00 am Saturday, June 16, 2018. Thank you.

Part 1

QUESTION How would the time of the jump and the horizontal distance traveled change if g were changed, for example if the jump could be repeated with the same initial velocity on a different planet? (Select all that apply.)  

Note: I answered b and c from one of your previous post, and got the answer wrong.

a. The time of the jump increases when g is smaller.

b. The displacement increases with increased time of the jump.

c. The time of the jump decreases when g is smaller.

d. Increasing the time of the jump has no effect on the displacement.

e. The displacement decreases with increased time of the jump.

Part 2

A bartender slides a beer mug at 1.2 m/s towards a customer at the end of a frictionless bar that is 1.3 m tall. The customer makes a grab for the mug and misses, and the mug sails off the end of the bar.

(a) How far away from the end of the bar does the mug hit the floor? 0.6181m (This is correct)

(b) What are the speed and direction of the mug at impact?

Speed____________m/s

Direction __________degree below the horizontal

How thick (minimum) should the air layer be between two flat glass surfaces if the glass is to appear bright when 510 nm light is incident normally?
nm
What if the glass is to appear dark?
nm

A magnifying glass is a single convex lens with a focal length of f = +9.50 cm. (Assume the person using the magnifying glass has a near point of 25 cm and the magnifying glass is directly in front of the person's eyes.)

(a) What is the angular magnification when this lens forms a (virtual) image at ???


How far from the object should the lens be held?


(b) What is the angular magnification when this lens forms a (virtual) image at the person's near point?


How far from the object should the lens be held in this case?

The figure is an overhead view of a thin uniform rod of length 0.467 m and mass M rotating horizontally at angular speed 15.7 rad/s about an axis through its center. A particle of mass M/3 initially attached to one end is ejected from the rod and travels along a path that is perpendicular to the rod at the instant of ejection. If the particle's speed v_p is 3.32 m/s greater than the speed of the rod end just after ejection, what is the value of v_p?

Two converging lenses, each of focal length 14.9 cm, are placed 39.3 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed?

The image is located
cm  ---Location--- behind the second lens. in front of the first lens. in front of the second lens.

What is the magnification of the system?
M =  ?

An electron is released from rest at the negative plate of a parallel plate capacitor and accelerates to the positive plate (see the drawing). The plates are separated by a distance of 1.4 cm, and the electric field within the capacitor has a magnitude of 2.0 x 10^6 V/m. What is the kinetic energy of the electron just as it reaches the positive plate?