1. A)how would parallax effect a measurement

1. B) Give several instances when error can be introduced while making a measurement.

1.C) Elaborate on the statement that "all measurements have a degree of uncertainty".

A proton with a velocity V = (2.00 m / s) i - (4.00 m / s) j - (1.00 m / s) k, a B = (1.00 T) i + (2.00 T) j- (1.00 T) k it moves within the magnetic field. What is the magnitude of the magnetic force (Fe) acting on the particle? (Qproton = 1.6x10-19 C)

A tuna with a mass of 100kg swims at a level depth of 20m below the surface of the sea.

1) Draw a free body diagram for the tuna.

2) Calculate the buoyant force on the tuna, and with that the tuna’s volume.

3) Some fish are able change their volume in order to move up and down by inflating a specilized organ within them called a swim bladder. Calculate how much the volume of the tuna must be changed in order for the buoyant force to grow by 30N.

4) By modeling the tuna as a spherical object, estimate the resultant upward terminal velocity of the tuna in this case

**Please answer this to the best of your ability, I've been having a lot of trouble with it

Electric Potential (Parallel Plate Capacitor Potential Energy and Potential)

A parallel plate capacitor has two terminals, one (+) and the other (-). When you move a test positive charge, q at uniform velocity from the negative terminal (Ui and Vi) to the positive terminal (Uf and Vf), work W = ΔU = qΔV is done on the charge, increasing the energy of the field by this amount. The work done by the field on the charge is – W. (V = U/q, all have their usual meaning)

QUESTIONS on the above observations:

(i) What is the work done to move a negative charge, q at uniform velocity from the positive to the negative terminal? Increasing the potential energy, a push (work) is needed to move the object.

(ii) Which terminal is the high potential for the plus charge?

(iii) Which terminal is the high potential for the negative charge?

(iv) If you do work 1.0 eV to move a proton from the negative to the positive terminal of a capacitor, how much work will you do to move an electron in the exact same manner from the positive the negative terminal of the same capacitor?

(v) What is the potential difference across the above capacitor?

Consider a flat expanding universe with no cosmological constant and no curvature (k=0 in the Einstein equations). Show that if the Universe is made of "dust", so the energy density scales like 1/a^3, then the scale factor, a(t), grows as t^(2/3). Show if it is made of radiation (so the energy density scales as 1/a^4 -- the extra factor of a comes from the redshift), then it grows as t^(1/2). In both cases, show that for early times, the scale factor grows faster than light. Is this a problem?

A puma leaps from one cliff ledge to another, the second ledge leapt to is 0.7m higher than the first, as well as 2.4m further along the cliff. (10)

1) Calculate the velocity with which the puma must take off in order to barely reach the second ledge.

2) If the puma weighs 50kg, calculate the impulse that the puma exerts on the first ledge in order to make this jump.

3) If the maximum force exerted by any one of the puma legs is 60N, calculate the minimum time which the puma's feet must spend in contact with the first ledge.

Briefly describe Millikan’s oil drop experiment and what do the results tell us about electric charge.

There are many subtle effects that must be taken into account in calculations involving GPS satellites. Estimate just the effect of the time dilation of special relativity.

(a) Find the speed of a GPS satellite (height is 20,200 km above the surface of Earth). Hence, find the time difference between a clock in the satellite and one on the ground after one complete orbit, assuming they were originally synchronized (ignore all effects except time dilation).

(b) Suppose we forgot to allow for this time difference. Estimate the resulting error in the calculation of our position.

A hollow sphere of radius 0.230 m, with rotational inertia I = 0.0739 kg·m² about a line through its center of mass, rolls without slipping up a surface inclined at 22.5° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 18.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.840 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass?

At a particular moment, three charged particles are located as shown in the figure below. Q1 = −4.5 μC, Q2 = +5.5 μC, and Q3 = −7.0 μC. Your answers to the following questions should be vectors. (Recall that 1 μC = 1 ✕ 10−6 C. Assume that the +x axis is to the right, the +y axis is up along the page and the +z axis points into the page. Express your answers in vector form.) (a) Find the electric field at the location of Q3, due to Q1. E1 = −2.5e7 Incorrect: Your answer is incorrect. N/C (b) Find the electric field at the location of Q3, due to Q2. E2 = N/C (c) Find the net electric field at the location of Q3. Enet = N/C (d) Find the net force on Q3. Fnet,3 = N (e) Find the electric field at location A due to Q1. E1 = N/C (f) Find the electric field at location A due to Q2. E2 = N/C (g) Find the electric field at location A due to Q3. E3 = N/C (h) What is the net electric field at location A? EA = N/C (i) If a particle with charge −6.0 nC were placed at location A, what would be the force on this particle? Fon A =

3 moles of an ideal gas with 2 atoms under 308 K temperature and 5 atm are expanded reversible to 1 atm end pressure. Calculate w, q, ΔU, ΔH values ​​in case of expansion of this expansion by isothermal and adiabatic way.

A block with mass 0.460 kg sits at rest on a light but not long vertical spring that has spring constant 85.0 N/m and one end on the floor.

a)How much elastic potential energy is stored in the spring when the block is sitting at rest on it?

b) A second identical block is dropped onto the first from a height of 4.10 mm above the first block and sticks to it. What is the maximum elastic potential energy stored in the spring during the motion of the blocks after the collision?

c)What is the maximum distance the first block moves down after the second block has landed on it?

Two metal spheres of identical mass m = 3.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.765 µC, and the right-hand sphere carries a charge of 1.61 µC. What is the equilibrium separation between the centers of the two spheres?

At time t = 11.5 sec, a particle of mass M = 5 kg is at the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.

1) What is the x component of the particle's angular momentum about the origin?

Answer: -70 kg m²

2) What is the y component of the particle's angular momentum about the origin?

Answer:100 kg m²

3) What is the z component of the particle's angular momentum about the origin?

Answer: -20 kg m²

4) Now an identical particle is placed at (x,y,z) = (-4,-4,-6) m, with velocity (-2,-1,2) m/s. What is the x component of the pair's total angular momentum about the origin?

Answer: -140 kg m²

5) What is the y component of the pair's total angular momentum about the origin?

Answer: 200 kg m²

6) What is the z component of the pairs's total angular momentum about the origin?

Answer: -40 kg m²

7) Finally a thin rod of mass 11 kg is added between the two particles Since the particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass. What the angular frequency of rotation of the rod + particles system? (Note: The particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass.)

Answer: 0.364 rad/sec

8) What is the magnitude of the total angular momentum of the system (particles plus rod)?

Please solve number 8!