In Figure 9-69, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m2 = 3m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction is μk and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? Express your answer in terms of the variables given and g.

A bumper car with mass m1 = 106.0 kg is moving to the right with a velocity of v1 = 4.5 m/s. A second bumper car with mass m2 = 98.0 kg is moving to the left with a velocity of v2 = 3.1 m/s. The two cars have a completely elsatic collision. Assume the surface is frictionless.

1. What is the initial velocity of car 1 in the center of mass reference frame?

2. What is the final velocity of car 1 in the center of mass reference frame?

3. What is the final velocity of car 1 in the ground (original) reference frame?

4. What is the final velocity of car 2 in the ground (original) reference frame?

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.260 rev/s . The magnitude of the angular acceleration is 0.881 rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.750 m .

What is the tangential speed vtan(t) of a point on the tip of the blade at time t = 0.203 s ?

What is the magnitude a of the resultant acceleration of a point on the tip of the blade at time t = 0.203 s ?

explain electric charge and electric field. Also give examples.

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched?

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)