In reaching her destination, a backpacker walks with an average velocity of 1.38 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.52 m/s, due west, turns around, and hikes with an average velocity of 0.405 m/s, due east. How far east did she walk?

A 50.0 g object is attached to a horizontal spring with a force constant of 5.0 N/m and released from rest with an amplitude of 20.0cm. What is the velocity of the object when it is halfway to the equilibrium position if the surface is frictionless?

(please write out formula used)

A 25 kg suitcase is being pulled with constant speed by a handle that is at an angle of 26 ∘ above the horizontal. If the normal force exerted on the suitcase is 170 N , what is the force F applied to the handle?

An air-filled parallel-plate capacitor has a capacitance of 2.0 F when the plate spacing is 1.6 mm. (a) What is the area of the plates? (b) What is the maximum voltage Vmax that can be applied to this capacitor (before dielectric breakdown occurs)? (c) How much charge is stored on the capacitor when Vmax is across it? (d) How much energy is stored on the capacitor when Vmax is across it? (e) A piece of Plexiglas (with a dielectric constant of 2.1) is inserted between the plates, completely filling the space between the plates, while the capacitor remains connected to a battery of emf equal to Vmax. What are the final, new capacitance, charge, and energy?

Two wooden crates rest on top of one another. The smaller top crate has a mass of m1 = 22 kg and the larger bottom crate has a mass of m2 = 93 kg. There is NO friction between the crate and the floor, but the coefficient of static friction between the two crates is μs = 0.87 and the coefficient of kinetic friction between the two crates is μk = 0.68. A massless rope is attached to the lower crate to pull it horizontally to the right (which should be considered the positive direction for this problem).

1) The rope is pulled with a tension T = 481 N (which is small enough that the top crate will not slide). What is the acceleration of the small crate?

2) In the previous situation, what is the frictional force the lower crate exerts on the upper crate?

3) What is the maximum tension that the lower crate can be pulled at before the upper crate begins to slide?

4) The tension is increased in the rope to 1286 N causing the boxes to accelerate faster and the top box to begin sliding. What is the acceleration of the upper crate?

5) As the upper crate slides, what is the acceleration of the lower crate?

Just before it landed on the moon, the Apollo 12 lunar lander had a mass of 1.4×10⁴ kg.

Part A

What rocket thrust was necessary to have the lander touch down with zero acceleration?

Express your answer with the appropriate units.

Two forces, 80 N and 100 N acting at an angle of 60° with each other, pull on an object. a) What single force would replace the two forces? b) What single force (called the equilibrant) would balance the two forces? Solve graphically (using protractor and ruler) and algebraically (components method).

please anserw in a way i can understand and please do the graph.

An indy 500 driver is doing 105 m/s, with 100,000 meters and 10s left in a race. Her car can do a maximum acceleration of 15 m/s^2. Can she finish the race? Does she need to accelerate the entire time? If not, what is the minimum amount of time she must accelerate in order to finish the race in 10s?

The figure below shows a Ferris wheel that rotates five times each minute. It carries each car around a circle of diameter 20.0 m.What force (magnitude and direction) does the seat exert on a 53.0-kg child when the rider is halfway between top and bottom? (direction is measured inward from the vertical)

I got 588.7365. It is telling me i am within 10% of the correct value but i cant seem to get the right answer. i tried again and got 538 which obviously isnt right because the correct answer is within 10% of 588

A particle with rest energy 8.940 GeV decays at rest into two daughter particles, one with rest energy 6.720 GeV and the other with rest energy 130.000 MeV.

(a) What is the mass of the parent particle?

(b) How much energy is released in the decay?

1). A car is moving along a straight line defined to be the positive x direction. Its velocity is measured and found to be a function of time given by Vx(t)=(alpha)t^2 , where alpha is a known constant. The car was at the point x = A at the time t = 2sec. Find the car's position as a function of time. How fast would the car be going just before it hits a wall located at x = L? (Give Law or Definition. Give Application. Give Result.) (The professors answer is v(t*)= (alpha)((3(L+8alpha/3-A))/alpha)^2/3) Please give as much explanation as possible!

why dont we see interference fringes when light shines through a window?

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown in FIGURE 19-51. (a) If q = 1.8 mC and r = 0.50 m, find the magnitude and direction of the electric field at point A, the other vertex of the triangle. Let the direction angle be measured counterclockwise from the positive x axis. (b) What is the total electric flux through the surface indicated in the figure? (c) Explain why Gauss’s law cannot easily be used to find the magnitude of the electric field at point A.

Calculate the rate of energy emitted from an incandescent tungsten halogen light bulb as a function of wavelength (W/m2 per µm versus wavelength in µm). Assume the tungsten filament has a temperature of 3300 K.

c. What fraction of the total energy emitted by the bulb produces light that we can see and what fraction is wasted as heat (λ > 800 nm)?

d. Compare total area under your emissive power plot to theoretical area. Given the total power emitted (area under curve) estimate the surface area of the tungsten filament if the bulb is rated for 100 watts

A very small object with mass 8.10×10−9 kg and positive charge 6.20×10−9 C is projected directly toward a very large insulating sheet of positive charge that has uniform surface charge density 5.90×10−8C/m2. The object is initially 0.590 m from the sheet.

What initial speed must the object have in order for its closest distance of approach to the sheet to be 0.330 m ?

An electron is released from rest at a distance of 0.530 m from a large insulating sheet of charge that has uniform surface charge density 3.30×10⁻¹²C/m2 .

What is the speed of the electron when it is 2.00×10⁻² m from the sheet?