Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small cart has mass m, and the mass of the larger cart is M = 5.29m. NOTE: Every velocity needs magnitude and direction (given by the sign).

a) Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity v = +4.88 m/s. - Find the velocity of the larger cart. V =

Assume now that the mass of the smaller cart is m = 8.91 kg. Assuming there is no loss of energy: find the energy stored in the spring before the explosion. Wk =

If the spring has spring constant k = 935 N/m: find x, the distance the spring was compressed before the "explosion".

b) Suppose the carts are initially moving together, with the spring compressed between them, at constant velocity vo = +9.39 m/s. After the "explosion", the smaller cart is moving at velocity v = +4.88 m/s. Find the velocity of the larger cart.

c) Suppose now that the small cart (mass m) is initially moving at velocity vo = +3.3 m/s. At what velocity would the large cart (mass 5.29m) have to be moving so, when they collide and stick together, they remain at rest?

If you can show the work/ provide explanation I would greatly appreciate it :) Thanks

How much of a gravitational redshift should you expect for a spectral line of the Sun observed in deep space if it has a rest wavelength of 121.6nm?

The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 12.6 V and b = -7.90 V/m.

(a) Determine the potential at x = 0.
______ V

Determine the potential at x = 3.00 m.
______ V

Determine the potential at x = 6.00 m.
______ V

(b) Determine the magnitude and direction of the electric field at x = 0.

Determine the magnitude and direction of the electric field at x = 3.00 m.

Determine the magnitude and direction of the electric field at x = 6.00 m.

A square insulating sheet 70.0 cm on a side is held horizontally. The sheet has 3.50 nC of charge spread uniformly over its area. Part A Calculate the magnitude of the electric field at a point 0.100 mm above the center of the sheet. Express your answer with the appropriate units. E E = nothing nothing Request Answer Part B Estimate the magnitude of the electric field at a point located a distance 200 m above the center of the sheet. Estimate the magnitude of the electric field at a point located a distance 200 above the center of the sheet. E = 2.25×10−5 N/C E = 9.83×10−5 N/C E = 7.87×10−4 N/C E = 1.10×10−2 N/C Request Answer Part C Would the answers to parts A and B be different if the sheet were made of a conducting material? Select the correct answer and explanation. Would the answers to parts and be different if the sheet were made of a conducting material? Select the correct answer and explanation. The charge would automatically spread out evenly over both faces, giving it half the charge density on either face as the insulator and the same electric field only close to the sheet. The answer to part A would not change, but the answer to part B would change. The charge would automatically spread out evenly over both faces, giving it half the charge density on either face as the insulator and changing the sign of the electric field. Both answers would change. The charge would automatically spread out evenly over both faces, giving it half the charge density on either face as the insulator and changing the electric field. Far away, they both look like points with the same charge. The answer to part B would not change, but the answer to part A would change. The charge would automatically spread out evenly over both faces, giving it half the charge density on either face as the insulator but the same electric field. Far away, they both look like points with the same charge. Neither answer would change.

Which of the following statements are true for the photoelectric effect? Give all the correct answers, e.g., enter ABC.

1. 
   
2. The maximum kinetic energy of the ejected electrons is proportional to the velocity of the incoming photons.
3. The maximum kinetic energy of the ejected electrons increases linearly with the frequency of the incident light.
4. The frequency of the incoming photons must be larger than a certain minimum value in order to eject electrons from the metal.
5. The maximum kinetic energy of the ejected electrons increases linearly with the intensity of the incident light.

What does "Electric potential is the negative line integral of electric field" mean?

Vector A has a magnitude of 4 m/s and it is on the positive x axis .

Vector B has a magnitude of 6 m/s and forms a 30 degrees angle with the positive x axis.

Vector C has a magnitude of 8 m/s and forms a 60 degree angle with the negative x axis.

Find:

a) The magnitude of A + B + C = D

Give your answer with two significant figures.

b) The angle vector D form with the x axis.

Give the answer with two significant figures.

c) What quadrant is vector D?

A potential difference of 3.60 V will be applied to a 33.00 m length of 18-gauge platinum wire (diameter = 0.0400inches). Calculate the current.

Calculate the current density.

Calculate the electric field.

Calculate the rate at which thermal energy will appear in the wire.

If 250 g of water is heated by 6 K during the experiment and the water-mass equivalent of the coil is 2.5 g, how many calories of energy has the water (and coil) absorbed? The specific heat capacity (using the archaic units of calories) is: 1 cal/(g K).

a box of mass m = 66.0 kg (initially at rest) is pushed a distance d = 54.0 m across a rough warehouse floor by an applied force of FA = 218 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) * I already solved parts b and c so I didn't include them.

a)work done by the applied force WA =

d)work done by the force of friction Wf =

e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNet = J

f)Now find the net work by first finding the net force on the box, then finding the work done by this net force. WNet = J

A ring of charge with radius 1.5 cm and a charge of 100nC has the electric field along the primary axis of the ring as E=kQx/(R^2+x^2)^3/2

1. find electric field 2.25 cm from the center of the ring along the primary axis
2. what force would a charge of -5nC experience at this point
3. what point charge would you have to place at x=-5cm to make the electric field zero at this location?

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 3.37 m/s² for a distance of 50.0 m to the edge of the cliff, which is 30.0 m above the ocean.

(a) Find the car's position relative to the base of the cliff when the car lands in the ocean.
m

(b) Find the length of time the car is in the air.
s

A spherical conductor carries a charge −30 μC and has a radius of 20 cm.

a) Determine the electric field and potential at all points in space.

b) Calculate the values of the field and potential at the following points:

i) r = 20 cm, ii) r = 15 cm, iii) r = 40 cm.