A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance , from the left end. A woman of mass m starts at the left end and walks toward the right end. When the beam is on the verge of tipping, find symbolic expressions for (a) the normal force exerted by the second pivot in terms of M, m, and g and (b) the woman

Determine the expression of the electric field and the electric potential from 0 to infinity along a hollow conductive disk and assuming that a point charge Q is placed in its center. R1 and R2 are the inner and outer radius of the disk respectively.

Apply the continuity equation in the following scenario to determine the fluid velocity at the outlet of the pipe shown in the drawing below. State all reasonable assumptions and show ALL of your work, Ensure that you provide the appropriate units for your answer.

Working fluid: water at STP

Inlet mass flow rate: 500lb_m/hr                        

inlet pipe diameter: 24 inches                        outlet pipe diameter: 9 inches

inlet fluid velocity: 200 feet/sec                        Outler fluid velocity:????

What is electrical potential? How is it related to electric potential energy? How is it related to electric field? How can you calculate the electrical potential?

A 3.36 µC charge is 1.17 cm from a 5.67 µC charge. How far from the larger charge will the electric field be zero? Answer in cm.

A net torque of 2.84 N*m is applied on a solid sphere for 5.32 seconds. If the solid sphere has a moment of inertia of 2.96 kg*m^2 and it starts from rest, what is its final rotational kinetic energy?

What dB level corresponds to a 500 Hz tone that is perceived to be at 40 phons?

A catapult launches a rock at a 31° angle with respect to the horizontal. Find the maximum height attained if the speed of the rock at its highest point is 26.5 m/s.
  m

An athlete throws a javelin at a 36.2 degree angle with an initial velocity of 17.4 m/s.

Find the horizontal and vertical components of the initial velocity.

v_x =  m/s

v_y =  m/s

If she releases the javelin 1.92 m above the ground, what is the vertical displacement of the javelin when it hits the ground?

m Select an answer neither down up  (up or down)

How much time will the javelin spend in the air?

s.

How far will the javelin travel (horizontally) before sticking into the ground?

m.

You throw a ball for your dog to fetch. The ball leaves your hand with a speed of 2 m/s, at an angle of 30◦ to the horizontal, and from a height of 1.5 m above the ground. The mass of the ball is 0.5 kg. Neglect air resistance in what follows.

(a) What is the acceleration of the ball while it is in flight? Report it as a vector, that is, specify magnitude and direction (or vertical and horizontal components; if the latter, specify which direction(s) you take as positive).

(b) What is the kinetic energy of the ball as it leaves your hand?

(c) Consider the Earth as being in the system. What is the potential energy of the Earth-ball system (1) as the ball leaves your hand, (2) at its maximum height, and (3) as it finally hits the ground?

(d) How high does the ball rise above the ground?

(e) What is the kinetic energy of the ball as it hits the ground?

(f) Now let the system be the ball alone. How much work does the Earth do on the ball while it is in flight? (from start to finish)

(g) What is the velocity of the ball as it hits the ground? Report it as a vector.

(h) How far away from you (horizontally) does the ball land?

A jet is flying with an air speed of 500 m/s. A parcel is dropped out of the plane. Assume that it takes 40 seconds for the parcel to hit the ground.. Assume no air resistance.a. How high is the jet?b. How far forward horizontally from the spot where it leaves the jet, does the parcel move during those 40 seconds?c. Where is the parcel relative to the jet?

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with her legs from a 1600-kg space capsule. Use the reference frame in which the capsule is at rest before the push. Part A: What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the velocity is in the direction of the velocity of the astronaut and negative value if the direction of the velocity is in the direction opposite to the velocity of the astronaut. Part B: If the push lasts 0.600 s , what is the magnitude of the average force exerted by each on the other? Express your answer to three significant figures and include the appropriate units. Part C: What is the kinetic energy of the astronaut after the push in the reference frame? Express your answer to three significant figures and include the appropriate units. Part D What is the kinetic energy of the capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units.

Three identical very dense masses of 4300 kg each are placed on the x axis. One mass is at x1 = -120 cm , one is at the origin, and one is at x2 = 400 cm .

Part A

What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses?

Take the gravitational constant to be G = 6.67×10⁻¹¹ N⋅m2/kg2 .

Express your answer in Newtons.

From t = 0 to t = 3.30 min, a man stands still, and from t = 3.30 min to t = 6.60 min, he walks briskly in a straight line at a constant speed of 2.67 m/s. What are (a) his average velocity vavg and (b) his average acceleration aavg in the time interval 1.00 min to 4.30 min? What are (c) vavg and (d) aavg in the time interval 2.00 min to 5.30 min?

A blood flow meter measures a potential difference of 9.0