Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.210-

kg ball with zero net charge was dropped from rest at a height of 1.00 m. The ball landed 0.450s later. Next, the ball was given a net charge of 7.80?C and dropped in the same way from the same height. This time the ball fell for 0.635s before landing.

What is the electric potential at a height of 1.00 m above the ground on this planet, given that the electric potential at ground level is zero? (Air resistance can be ignored.)

16g of nitrogen gas at STP are pressurized in an isochoric process to a pressure of 25atm .

A-What is the final temperature?

B-What is the work done on the gas? W=0 I got that , it's the correct answer

C-What is the heat input to the gas?

D-What is the pressure ratio pmax/ pmin ?

please answer this problem not simaler problems. thank u

Consider a pipe that is closed at one end. Sketch the standing wave pattern in each of the following situations; showing the regions of high and low air pressure variations (pressure antinodes and pressure nodes). Then formulate equations that relate the wavelength and frequency to the length of the pipe.

A. Tube with one end open ("closed tube"): fundamental

B. Tube with one end open ("closed tube"): first overture (3rd harmonic)

C. Find the ratio of the first overture and fundamental frequencies

D. Tube with both ends open ("open tube"): fundamental

E. Tube with both ends open ("open tube"): first overture (2nd harmonic)

F. Find the ratio between fundamental and first overture frequencies

A large crate is suspended by a light string. A bullet is fired horizontally into the crate and becomes firmly lodged inside it. After being struck by the bullet, the crate swings upward to a maximm height and then swings back up.

Just before the collision (time t1), the crate is at rest and the bullet moves horizontally with speed v0. Immediately after the bullet becomes lodged inside the crate (time t2) the bullet and crate move together with speed v. The crate reaches its maximum height at time t3.

1. Consider the time interval between times t1 and t2 (i.e., the collision between the bullet and crate).

A) During the collision, how does the force exerted on the crate by the bullet compare to the force exerted on the bullet by the crate? Discuss both magnitude and direction. Explain?

B) Is the total momentum of the bullet-and-crate system conserved during the collision? Explain how you can tell.

C) Is the total kinetic energy of the system conserved during the collision? Explain how you can tell.

2. Now consider the time interval from t2 to time t3 for the situation described (when the bullet and crate move together to a maximum height after the collision).

A) Draw a free body diagram for the bullet-crate system for an instant between times t2 and t3. Clearly label all forces.

Is the total momentum of the system conserved from tme t2 to time t3? Explain.

B) For each force you indicated on your free body diagram in part a, indicate whether the work done by that force on the bullet-crate system is positive, negative, or zero. Explain your reasoning.

Is the total mechanical energy (kinetic + potential) of the bullet-crat system conserved from time t2 to time t3? Explain.

3. Is it incorrect to say that the total mechanical energy of the bullet-crate system remains conserved for the entire motion. Explain why this is so, and indicate other types of energy into which the initial energy of the bullet could have been transformed.

A student is observing the oscillations of a mass on the end of a spring.   The spring has a force constant of 6 x 10^-5N/m, and the mass is 0.15 kg.   She pulls it 6 cm below equilibrium and lets it go.   She now writes an equation which she believes describes the motion of the mass. In her description, the y axis is vertical, and UP is positive.   Her equation is   
y = (3 cm) sin ( 0.02 sec^-1 t   + 3.14)

    (A) Does she have the amplitude right?   If not, what was right? If yes, explain.
    (B) Does she have the frequency right?   If not, what was right? If yes, explain.
    (C) Does she have the phase angle right? If not, what was right? If yes, explain.

#4. A mass of 1.00 kg is sitting 10 m in the air above a spring of spring constant k=50 N/m. The mass is released and lands on the spring compressing it by a distance indicated by yf

a) What is the TE of this system?

b) What is the KE of the mass just as it makes contact with the spring?

c) What is the position of maximum compress (yf)?

#5. A 3.0 kg mass is sitting on a table attached by a string over a pulley to a 30 kg mass hanging off the table. The coefficient of friction between the mass on the table and the table is (mk=0.2). The mass hanging off the table falls 1m.

a) What is the change in PE for each mass?

b) How much work is done by friction?

c) What is the final KE for the entire system and what is the final velocity?

A 60.0-g object connected to a spring with a force constant of 20.0 N/m oscillates with an amplitude of 5.00 cm on a frictionless, horizontal surface.

(a) Find the speed of the object when its position is 1.15 cm. (Let 0 cm be the position of equilibrium.) At this point the energy is partially stored as potential energy of the spring and partially as kinetic energy of the object. m/s

(b) Find the kinetic energy when its position is 3.50 cm. mJ

(c) Find the potential energy when its position is 3.50 cm. mJ

Determine an expression for ∆x∆px for the second harmonic oscillator eigenstate. Does this obey the uncertainty principle?

Two bowlers, a man and a women, are standing on either end of the same well oiled bowling lane. The man throws a 16 ib (7.26 kg) ball down the middle of the alley at a velocity of 8.44 m/s. At the same time the women throws her 14 lb. ball down the middle of the alley at a velocity of 8.67 m/s. The balls collide in an elastic collision. Answer the following questions.

1. P14i

2.P 16i

3.P toti

4.Ek14i

5.Ek15i

6.Ektoti

7.V14f

8.V16f

9. P14f

10.P16f

11.Ptotf

12.Eki4f

13.Ek16f

14.Ek16f

15. Does this show conservation of momentum?

16. Does this show Conservation of Kinetic enery?

17. What was the force of impact of the two balls?

A parallel-plate capacitor made of circular plates of radius 65 cm separated by 0.30 cm is charged to a potential difference of 800 Volts by a battery. Then a sheet of mylar is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the mylar is inserted?

Two identical containers are open at the top and are connected at the bottom via a tube of negligible volume and a valve that is closed. Both containers are filled initially to the same height of 1.00 m, one with water, the other with mercury, as the drawing indicates. The valve is then opened. Water and mercury are immiscible. Determine the fluid level in the left container when equilibrium is reestablished.

A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by E_s = 8.0

For each of the pairs of objects below, decide which object has the larger moment of inertia, selecting from the following answers: A) the first B) the second C) neither D) can't tell E.g., if the answer for the first pair is B and for the rest, D, enter BDDDDD. The objects are of uniform density. Unless otherwise indicated, the flat objects rotate about an axis perpendicular to the plane in which they lie.

1.(A) A thin circular sheet of material of radius a/sqrt(2) rotating about its centre, or (B) a thin square sheet of the same material of side a, also rotating about its centre.

2.(A) A thin square sheet of material of side a rotating about its centre, or (B) a thin sheet of the same material in the form of an equilateral triangle of side a, also rotating about its centre.

3.(A) A thin circular sheet of material of radius a/2 rotating about a tangent, or (B) a thin square sheet of the same material of side a, rotating about its lower edge.

4.(A) A rod of mass m and length ℓ rotating about its centre, or (B) a rod of mass m and length 2ℓ, also rotating about its centre.

5.(A) A sphere rotating about its axis, or (B) the same sphere rotating about a parallel axis, tangent to the surface.

6.(A) A cylindrical shell rolling on a table, or (B) a solid cylinder of identical mass and size, also rolling.

We observe a glancing collision between two billiard balls of the same mass. The first ball is incident at a speed of 6.36 m/s, strikes the second ball (initially at rest) and moves off with a speed of 5.54 m/s at an angle of 29.5