A horizontal spring with a spring constant of 190 N/cm is compressed 6.3 cm. A wooden block with a mass of 1.5 kg is placed in front of and in contact with the spring. When the spring is released it pushes the block, which slides on a frictionless horizontal surface for some distance. The block then slides up a frictionless incline of 27 degrees above the horizontal and comes to a momentary stop before sliding back down. The system is the spring, the block, the incline, and the Earth. Ignore air resistance.

A) What is the potential energy of the spring before it is released?

B) What is the kinetic energy and the speed of the block as it slides on the horizontal surface after the spring has pushed it?

C) At what height does the block stop on the incline?

D) If the incline were rough, how would the stopping height of the block compare to the stopping height when the incline is frictionless? Explain using energy.

Harry Potter (back to his normal size) has discovered that his magic wand is exactly one meter long. After some coaxing from Hermione, Harry is persuaded to mark off his wand in centimeters. Scabbers, the rat, (of mass 0.350 kg) is clinging tightly to the 70-cm mark of Harry's wand (of mass 0.100 kg.)Model Scabbers as a sphere of radius 5 cm. (He's put on a little weight lately.) as Hermionne rotates the wand in mid air, (as if on a horizontal, frictionless table) with an angular speed of 3.00 rad/s. Harry quickly calculates the moment of inertia and angular momentum of the wand-rat system when the wand is pivoted about an axis

(a) perpendicular to the plane of rotation through the 55.0-cm mark and

I = kg·m2

L = kg·m2/s

b) perpendicular to the plane of rotation through the 0-cm mark.

I = kg·m2

L = kg·m2/s

An object of 7kg is lit and it becomes suspended at rest from the ceiling. It then explodes into 3 parts. Part 1 has a mass of 2.7kg and is traveling 3.1m/s at 22 degrees above x-axis. Part 2 has a mass of 1.75kg and moves 4.4 m/s at 53 degrees above x-axis. Determine the mass, velocity, and direction of the 3rd piece using momentum. Thank you.

1.Three identical very dense masses of 3500 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 = 300 cm .

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 to three significant figures.

2.Three identical very dense masses of 5000 kg each are placed on the x axis. One mass is at x1 = -100 cm , one is at the origin, and one is at x2 = 310 cm .

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 to three significant figures.

A block of mass m = 98 kg slides along a horizontal surface. The coefficient of friction between the block and the surface is μ_k = 0.38. The block has an initial speed of v_o = 13 m/s in the positive x-direction as shown.

a) write an expression for x-component of the frictional force the block experiences, F(f), in terms of the given variables and variables available in the palette

b) what is the magnitude of the frictional force in N?

c) How far will the block travel, in meters, before coming to rest?

1. The blades of a ceiling fan have a radius of 0.380 m and are rotating about a fixed axis with an angular velocity of +1.50 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.00 rad/s² . After 0.500s has elapsed since the switch was reset, what is

   (a) the total acceleration (in m/s) of a point on the tip of a blade and

   (b) the angle φ between the total acceleration a and the centripetal acceleration a_c?

Quantitatively (i.e. with equations) explain fictitious force in 1) linear motion and 2) uniform circular motion.

Calculate the well potential for the fission decay channel resulting in ¹⁴⁰Ba and ⁹⁸Kr.

What is meant by the term `dynamic range' in the context of a data acquisition system? How can selection of
the wrong dynamic range affect either (a) the precision of the experimental measurements, or (b) capture of
the entire signal of interest.

A 0.300-kg ice puck, moving east with a speed of 5.84 m/s , has a head-on collision with a 0.990-kg puck initially at rest. Assume that the collision is perfectly elastic.

A) What is the speed of the 0.300-kg puck after the collision?

Express your answer to three significant figures and include the appropriate units.

B) What is the direction of the velocity of the 0.300-kg puck after the collision? East or West?

C)

What is the speed of the 0.990-kg puck after the collision?

Express your answer to three significant figures and include the appropriate units.

D) What is the direction of the velocity of the 0.990-kg puck after the collision? East or West?

In a test of the elasticity of basketballs, a basketball fired by an air gun against a solid wall, compressing it to 80.0 % of its original volume. The air inside the ball (assume it is all N2 gas) is originally at a temperature of 20.0 ∘C and a pressure of 2.00 atm. The ball's radius is 11.95 cm.

A. What temperature does the air in the ball reach at its maximum compression? Assume that the compression of the air during the bounce is adiabatic.

B. By how much does the internal energy of the air change between the ball's original state and its maximum compression?   

An energy plant produces an output potential of 2100 kV and serves a city 238 km away. A high-voltage transmission line carries 580 A to the city. The effective resistance of a transmission line [wire(s)] is 1.83 Ω/km times the distance from the plant to the city. What is the potential provided to the city, i.e., at the end of the transmission line? Answer in units of kV. 005 (part 2 of 4) 10.0 points How much power is dissipated due to resistive losses in the transmission line? Answer in units of W. 006 (part 3 of 4) 10.0 points Assume the plant charges $ 0.097 /kW · hr for electric energy. At this rate, how much does it cost to transmit energy to the city (by the transmission line heating the atmosphere) each hour? Answer in units of dollars/hr. 007 (part 4 of 4) 10.0 points Consider the money lost by the transmission line heating the atmosphere each hour. Assume the energy plant produces the same amount of power; however, the output electric potential of the energy plant is 20% greater. How much money per hour is saved by increasing the electric potential of the power plant? Answer in units of dollars/hr.

A 45.4 kg, 3.8 m uniform ladder leans against a frictionless wall. A 99.1 kg person is standing on the ladder down 1.04 m from the top of the ladder. The ladder makes an angle of 50 degrees with the horizontal. What is the minimum coefficient of static friction between the ladder and the ground so that the ladder does not slip?

A very metal train moving at a constant speed is passing a hippie observer on a platform. On one of the train cars, a Deathcore guitarist is continually hammering out a note at a frequency of 450 Hz. After the guitarist has passed, the hippie hears the sound with a frequency of 420 Hz. What is the speed of the train?

Please explain work, I always rate!!:)

In an industrial cooling process, water is circulated through a system. If water is pumped with a speed of 4.00 m/s under a pressure of 6.70 × 10⁵ Pa from the first floor through a 3.70-cm diameter pipe, what will be the pressure on the next floor 3.90 m above in a pipe with a diameter of 2.00 cm?