Two isotopes of carbon, carbon-12 and carbon-13, have masses of 1.993 10-26 kg and 2.159 10-26 kg, respectively. These two isotopes are singly ionized (+e) and each is given a speed of 7.88 105 m/s. The ions then enter the bending region of a mass spectrometer where the magnetic field is 0.8400 T.

Determine the spatial separation between the two isotopes after they have traveled through a half-circle.

Straws work on the principle of the outside atmospheric pressure pushing the fluid (for example water) up the straw after you have lowered the pressure at the top of the straw (in your mouth). Assuming you could create a perfect vacuum in your mouth, what is the longest vertical straw you could drink water from?

1.65 m

4.28 m

7.71 m

10.3 m

8)  How would this answer change if you were on a planet with a much lower atmospheric pressure?

increases

decreases

remains the same

9)  A block of wood (density 550 kg/m³) and a block of metal (density 2700 kg/m³) with equal volume are placed 1 m under water in a swimming pool. Which has a greater buoyant force on it?

the metal

the wood

they have the same buoyant force

10)  Which has a greater force of gravity on it?

the metal

the wood

they have the same force of gravity

11)  Compare the buoyant force to the force of gravity for each object.

In both cases the buoyant force is greater.

In both cases the force of gravity is greater.

For the metal, the buoyant force is greater; for the wood, the force of gravity is greater.

For the wood, the buoyant force is greater; for the metal, the force of gravity is greater.

12)  If they were taken to a depth of 10 m what would happen to the buoyant force on each (assume the density of water is constant and the objects are incompressible)?

they increase

they decrease

they remain the same

13)  If the objects were connected together, would they sink or float?

they would sink

they would float

they would stay right where the are!

14)  Water is flowing through a pipe that slowly gets smaller as it rises to the bathroom on your second floor (10 m high). The pipe coming into your house is 3 cm in diameter, the pressure there is 3x10⁵ Pa, and the water is moving at .8 m/s. The diameter of the pipe in the upstairs bathroom is 1.5 cm. How fast is the water moving right before it leaves the pipe in the bathroom?

.2 m/s

.4 m/s

1.6 m/s

3.2 m/s

15)  What is the pressure of the water in the pipe right before it leaves the pipe?

1.50x10⁵ Pa

1.97x10⁵ Pa

2.88x10⁵ Pa

3.67x10⁵ Pa

Given the vectors A= 2.00i + 6.00j and B= 3.00i - 2.00j, (a) draw the vector sum C= A + B and the vector difference D = A - B. (b) Calculate C and D in terms of unit vectors. (c) Calculate C and D in terms of polar coordinates, with angles measured in respect to the positive x-axis.

Baked potatoes are normally wrapped in aluminum foil. How does this affect the cooling of the potato after it is removed from the oven? (Consider radiation)

A road with a radius of 72 m is banked so that a car can navigate the curve at a speed of 13 m/s without any friction. When a car is going 25 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping?

A room with 2.7-m-high ceilings has a metal plate on the floor with V = 0V and a separate metal plate on the ceiling. A 1.5 g glass ball charged to 5.0 nC is shot straight up at 4.7 m/s .

How high does the ball go if the ceiling voltage is 2.9×10⁶ V ?

How high does the ball go if the ceiling voltage is −2.9×10⁶ V ?

A rescue helicopter lifts a 70.6-kg person straight up by means of a cable. The person has an upward acceleration of 0.728 m/s² and is lifted from rest through a distance of 11.5 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person.

An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity β. The distance between the plates is 11.0 cm, and the voltage difference is 147 kV. Determine the final velocity β of the electron using classical mechanics. (The rest mass of the electron is 9.11×10^-31 kg, the rest energy of the electron is 511 keV.)

What is the final velocity β of the electron if you use relativistic mechanics?

There is a region with a constant magnetic field 6.31T . The magnetic field is directed out of the page. A conducting rod moves with a velocity of 1.58m/s , along a V shaped wire that is in the shape of a right triangle. At time = 0 s the rod is at the vertex of the triangle where the angle at the vertex is 19degrees . The right angle is where the conducting rod is. This means the rod is moving along the x axis and the rod is the y axis.

What is the emf induced in the rod after it has moved from the vertex for a time of 10.9s ?

What is the current induced in the rod if the resistance is 5.31ohms ?

What is the power in the rod?

It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 120 m above a raging river and attach a 30-m -long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 45 N/m . Assume that your mass is 71 kg . After a long hesitation, you dive off the bridge.

Part A

How far are you above the water when the cord reaches its maximum elongation?

Express your answer with the appropriate units.

I need an equation for finding the veocity of water at the end of an incline.

• the velocity at the top is 0
• the incline is a right triangle with a hieght of 3000ft and a base of 9 miles
• the fluid is water
• the depth of the water is 3ft

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7530 km. Satellite B is to orbit at an altitude of 24200 km. The radius of Earth R_Eis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 28.5 kg? (d) By how much?

• Explain decomposition and superposition of force vectors.
• Give applications of Newton's Laws of Motion in daily lives.

you jump from a 20 meter tall building to a 12 meter tall building you jump horozontally with a speed of 5.0 m/s.

all must be answered using ther following equations v = dx/dt;   a = dv/dt;    v = v₀ + at;    x = x₀ + v_ot + at²/2;    v² = v_o² + 2aD

how long in seconds are you in the air?

how far apart are the two buildings assuming you jumped from the edge and landed on the edge?

what is your speed when you land?

for this question you must use the pythagrium therm