1.

A student bikes to school by traveling first dN = 1.00miles north, then dW = 0.500miles west, and finally dS = 0.200miles south.

If a bird were to start out from the origin (where the student starts) and fly directly (in a straight line) to the school, what distance db would the bird cover?

Express your answer in miles.

2.

You will now find the same quantity algebraically, without the need to use much geometry. Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking.

Let d? N be the displacement vector corresponding to the first leg of the student's trip. Express d? N in component form.

Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first.

(a) The sublimation energy of bulk gold is 334 Kjmol-1 and the surface energy is 1.5 Jm2. What percentage of
the bulk bonding energy is lost by atoms at the (111) surface of gold.? The unit cell length of gold is 4.08 Ao

b) Further (to a) calculate the melting temperature for a 4 nm gold particle given a bulk melting temperature
of 1273 K and a density of 19500 kgm-3 and a latent heat of fusion of 12.2 Kjmol-1

A system undergoes a change from one state to another along two different pathways One being reversible and the other being irreversible. What can be said about the relative magnitudes of q reversible and q irreversible?

Please explain in detail.

In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air resistance can be neglected.

Part A

Find the maximum height that the stage-two rocket reaches above the launch pad.

the answer is 3090m

Part B

How much time after the stage-two firing will it take for the rocket to fall back to the launch pad?

Part C

How fast will the stage-two rocket be moving just as it reaches the launch pad?

The volume of a glass bottle is 500.00 ml at 18 ◦C and the longitudinal coefficient of expansion of the glass are 8.0*10−6
1 / ◦C. Benzene has a density of 0.880 g / cm3 at 20 ◦C and its volume expansion coefficient is 1.2 * 10−3
1 / ◦C. How much benzene mass (with 4 values) is contained in the above-mentioned glass bottle at 28 ◦C?

(Answer 435.9 g)

A 5.0 mL syringe has an inner diameter of 5.5 mm , a needle inner diameter of 0.22 mm , and a plunger pad diameter (where you place your finger) of 1.2 cm. A nurse uses the syringe to inject medicine into a patient whose blood pressure is 140/100. Assume the liquid is an ideal fluid.

Part A

What is the minimum force the nurse needs to apply to the syringe?

Part B

The nurse empties the syringe in 4.9 s . What is the flow speed of the medicine through the needle?

(a) A positive point charge Q is placed at the center of a cube. Draw the field lines for this charge configuration. Include at least 7 field lines and be sure to show them passing through the surface of the cube.

(b) What is the flux through one side of this cube? Hint: Do not under any circumstances integrate to find the flux. Think about how many sides the cube has and whether or not the flux through each face is equal.

(c) If another positive point charge Q is placed outside one of the sides of the cube, how would the flux through that one side of the cube change? How would the flux through the entire cube change?

A 0.17- kg block on a wooden table is given a sharp blow with a hammer. The block then slides across the table to a stop. The coefficient of friction between the block and table is 0.38. The hammer's force on the block as a function of time is well approximated by an isosceles triangle with it's base on the horizontal time axis. The length of the base is 0.0074 s and the maximum force is 48.5 N. How far does the block go? Use a graphical technique.

A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (see the figure). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 and (b) z = ∞? (c) In terms of R, at what positive value of z is that magnitude maximum? (d) If R = 2.19 cm and Q = 4.18 μC, what is the maximum magnitude?

In constructing a large mobile, an artist hangs an aluminum sphere of mass 5.1 kg from a vertical steel wire 0.51 m long and 2.4×10−3 cm2 in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 11.3 kg .

A-

Compute the tensile strain for the top wire.

Express your answer using two significant figures.

B-

Compute the tensile strain for the bottom wire.

Express your answer using two significant figures.

C-

Compute the elongation strain for the top wire.

Express your answer using two significant figures.

D-Compute the elongation strain for the bottom wire.

What is dispersion? Use dispersion to explain why white light is separtate into its individual colors when it exits a prism.

a. Consider a 1.5-kg mass of a block attached to a spring of spring constant 16.0 N/m on a frictionless table.

(i) At rest/At Equilibrium: The spring-mass system is at rest, the mass is at the equilibrium position. Calculate the potential energy (PEs), kinetic energy (KE) and total mechanical energy (Etot) of the spring-mass system.

(ii) At rest/Displaced from Equilibrium: The mass is displaced 6 cm to the left (negative X-direction) by compressing the spring, the spring-mass system is at rest at that position. Calculate the potential energy (PEs), kinetic energy (KE) and total mechanical energy (Etot) of the spring-mass system.

(iii) In motion/At Equilibrium: When the spring-mass system is released from - 6.0 cm position, it moves back to the equilibrium position. Calculate the potential energy (PEs), kinetic energy (KE), total mechanical energy (Etot) and velocity (v) of the spring-mass system as it reaches the equilibrium.

Blocks A (mass 4.00 kg ) and B (mass 6.00 kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 5.00 m/s . The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A. Find the maximum energy stored in the spring bumpers. Find the velocity of block A when the energy stored in the spring bumpers is maximum. Find the velocity of block B when the energy stored in the spring bumpers is maximum. Find the velocity of block A after they have moved apart. Find the velocity of B after they have moved apart.

A 3100 TeV photon strikes an electron at rest and scatters by an angle of 120°. Find the frequency of the reflected photon using 2.4 pm for the Compton wavelength. Also find the kinetic energy of the electron.

solve it using eV not  joule. Please show all the work with all the steps. I want to learn how to slove this kind of problem because similar one will ibe n my final exam.

Thank you

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m, y = 2.25 m; 34 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?