A cube of side s = 2m sits 1 meter from the origin along the y-axis, as shown. An electric field E = Eo(1+ y/s) j passes through the cube, where Eo = 100 N/C. The charge enclosed in the cube is

a) 6.20 nC

b) 5.31 nC

c) 4.43 nC

d) 3.54 nC

e) 0.00 nC

10) A shower pipe at the beach that is 10 cm in diameter carries water (density 1000 kg/m3 ) up a height of 2.0 m, at which point the pipe narrows to 5 cm and continues another 0.50 m up before the water squires out of the pipe 2.5 m above where it started. Ignore viscosity.

a) If the water moves at 1.5 m/s in the wider part of the pipe, what is its speed in the narrower part of the pipe?

b) What is the pressure change from the bottom of the pipe to the top?

c) What was the pressure of the water at the bottom of the pipe? (Hint: What does the pressure have to be when the water leaves the pipe and is exposed to the atmosphere?)

5. A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object reaches the bottom of the ramp first?

   (a) The hollow sphere (b) The solid cylinder

   (c) The hollow cylinder
   (d) They all reach the bottom of the ramp at the same time

6. A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object has the greatest speed at the bottom of the ramp?

   (a) The hollow sphere (b) The solid cylinder

   (c) The hollow cylinder
   (d) They all reach the bottom of the ramp at the same time

7. What is the formula for the moment of inertia of a hollow cylinder rotating about an axis at its edge?

   (a) I = 12MR2 (b) I = MR2

   (c) I = 32MR2 (d) I = 2MR2

8. A meter stick is held such that it rotates at its end. If the meter stick has a mass of 100g, how much torque does gravity produce?

   (a) 0 Nm (b) 0.5 Nm

   (c) 0.75 Nm (d) 1 Nm

Two speakers that are 16.0m apart produce sound waves of frequency 270Hz in a room where the speed of sound is 340m/s . A woman starts out at the midpoint between the two speakers. The room

An interference pattern is produced by light with a wavelength 600 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.560 mm .

If the slits are very narrow, what would be the angular position of the first-order, two-slit, interference maxima?

What would be the angular position of the second-order, two-slit, interference maxima in this case?

Let the slits have a width 0.280 mm . In terms of the intensity I0 at the center of the central maximum, what is the intensity at the angular position of θ1?

A 950 kg car turns around a curve of a radius 30 m on a level road. If the coefficient of static friction between the tires and the road is 0.55, how fast can the car go around the curve without sliding?

At a given latitude, ocean water in the so-called "mixed layer" (from the surface to a depth of about 50 m) is at approximately the same temperature due to the mixing action of waves. Assume that because of global warming, the temperature of the mixed layer is everywhere increased by 0.1 ∘C, while the temperature of the deeper portions of the ocean remains unchanged.Estimate the resulting rise in sea level. The ocean covers about 70 %of the Earth's surface.

Express your answer using one significant figure.

plz...

You attach a 1.50 kg block to a horizontal spring that is fixed at one end. You pull the block until the spring is stretched by 0.500 m and release it from rest. Assume the block slides on a horizontal surface with negligible friction. The block reaches a speed of zero again 0.500 s after release (for the first time after release). What is the maximum speed of the block (in m/s)?

System A has masses m and m separated by a distance r; system B has masses m and 2m separated by a distance 2r; system C has masses 2m and 3m separated by a distance 2r; and system D has masses 4m and 5m separated by a distance 3r.

Rank these systems in order of decreasing gravitational force.

If rank items are equivalent, state as such; if the correct ranking cannot be determined, state as such.

A ball of putty with mass 500 g and negligible size is moving at a speed of v = 3.2 m/s before it strikes a stationary rod of length L = 42 cm and mass 2 kg that is allowed to pivot around its center. What is angular speed of the putty and rod system if the putty sticks to the rod?

A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 200 kg and a radius of 1.6 m. A 34- kg child rides at the center of the merry-go-round while a playmate sets it turning at 0.15rpm. If the child then walks along a radius to the outer edge of the disk, how fast will the disk be turning? (in rpm - but enter no unit)

It is proposed to store 1.00kW?h=3.60

A thin uniform pole of length 30 m is pivoted at the bottom end. Calculate the most probable point of rupture on the pole as the pole falls.

STEP BY STEP PLEASE I am trying to understand this.

A 74.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 14.0 m. The jumper reaches reaches the bottom of her motion 40.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. Her overall motion can be separated into an 14.0-m free-fall and a 26.0-m section of simple harmonic oscillation.

(a) For the free-fall part, what is the appropriate analysis model to describe her motion.

-particle under constant angular acceleration

-particle under constant acceleration    

-particle in simple harmonic motion

(b) For what time interval is she in free-fall?s

(c) For the the simple harmonic oscillation part of the plunge, is the system of the bungee jumper, the spring, and the Earth isolated or non-isolated?

-isolated

-non-isolated    

(d) From your response in part (c) find the spring constant of the bungee cord.N/m

(e) What is the location of the equilibrium point where the spring force balances the gravitational force exerted on the jumper?
m below the bridge

(f) What is the angular frequency of the oscillation?rad/s

(g) What time interval is required for the cord to stretch by 26.0 m?s

(h) What is the total time interval for the entire 40.0-m drop? s