The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m, y = 2.25 m; 34 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?

Ball 1, with a mass of 110g and traveling at 10m/s, collides head on with ball 2, which has a mass of 340g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic? What are the final velocities of each ball if the collision is perfectly inelastic?

A -12.0 nC point charge and a +24.0nC point charge are 18.0 cm apart on the x axis

What is the electric potential at the point on the x axis where the electric field is zero?

What is the magnitude of the electric field at the point on the x-axis, between the charges, where the electric potential is zero?

A woman rides a carnival Ferris wheel at radius 21 m, completing 4.5 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?

Standing sound waves are produced in a pipe that is 2.00 m long.

Part A

If the pipe is open at both ends , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

Part B

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

Part C

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

Part D

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

If there is more than one value, separate your answers with commas.

Part E

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

If there is more than one value, separate your answers with commas.

Part F

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

If there is more than one value, separate your answers with commas .

Q.1 Differentiate between single crystal and polycrystalline. ( in details)

Three point charges are arranged along the xx axis. Charge q1q1q1 = -4.70 nCnC is located at x=x= 0.220 mm and charge q2q2q2 = 2.70 nCnC is at x=x= -0.350 mm . A positive point charge q3q3 is located at the origin.

a) What must the value of q3q3 be for the net force on this point charge to have magnitude 3.40 μNμN ?

b)What is the direction of the net force on q3q3?

c)Where along the x axis can q3q3 be placed and the net force on it be zero, other than the trivial answers of x=+∞x=+∞ and x=−∞x=−∞?

We talked about the Doppler Effect for sound waves. Electromagnetic waves exhibit the same type of effect. Explain in detail how Doppler shift is used in astronomy, weather forecasting and radar.

what is the implication of the third law of thermodynamics and the fate of the universe? (give evidence please)

Derive Lens equation of two convex lenses (L1 and L2) separated by 5 cm in Air. Write down the System Matrix equation and define each matrix elements.

On a frictionless horizontal air table, puck A (with mass 0.255 kg ) is moving toward puck B (with mass 0.375 kg ), which is initially at rest. After the collision, puck A has velocity 0.117 m/s to the left, and puck B has velocity 0.650 m/s to the right.

What was the speed vAi of puck A before the collision?

Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.

A length of 20-gauge copper wire (of diameter 0.8118 mm) is formed into a circular loop with a radius of 24.0 cm. A magnetic field perpendicular to the plane of the loop increases from zero to 18.0 mT in 0.20 s. Find the average electrical power dissipated in the process.

What will the temperature of the cosmic microwave background be when the average distances between galaxies are 1.7 times as large as they are today? (Hint: The peak wavelength of photons in the background will then also be 1.7 times as large as it is today.)