A block of mass m = 2.30 kg slides down a 30.0∘ incline which is 3.60 m high. At the bottom, it strikes a block of mass M = 6.20 kg which is at rest on a horizontal surface (Figure 1). (Assume a smooth transition at the bottom of the incline.) The collision is elastic, and friction can be ignored.

a) Determine the speed of the block with mass m = 2.30 kg after the collision.

b)Determine the speed of the block with mass M = 6.20 kg after the collision.

c)Determine how far back up the incline the smaller mass will go.

1. A rechargeable battery with emf 1.52 V and internal resistance 0.75 Ω is connected positive to positive and negative to negative with a 3.00 V battery with internal resistance 1.4 Ω. Assume the emf of each battery remains constant.

(a) Find the current.

(b) How much energy will be stored in the rechargeable battery in 1.00 minute?

(c) Determine the efficiency of this charging arrangement.

(d) How could the efficiency be improved (and wasted energy be reduced)?

1.

The intensity level of the sound reaching your ear from a speaker 25 m away is 110 dB.

(a) What is the intensity?

(Answer: 0.10 W/m2)

(b) If you move to a new distance of 7.9 m, what is the new sound intensity level in

decibels?

(Answer: 120 dB)

(c) What is the power output of the speaker?

(Answer: 784 W)

Research and summarize the concept of the Qauntum Computer and explain the concept of the Qubit as opposed to the traditional bit. Assess the viability of actually building one of these contraptions and identify some of the main physical/engineering barriers that exist to actually building one of these devices.

QUESTION 1:

Are electric force and electric field vector or scalar quantities?

QUESTION 2:

When an electron is placed in an electric field it experiences an electrostatic force towards the North.  In what direction is the electric field?

QUESTION

What is the magnitude of the electric field at a distance of 66 cm from a 76 μC charge, in units of N/C?

What are blackbody curves and what are the approximate shapes of such curves? What is the Stefan-Boltzmann law and how does it relate to a blackbody and a blackbody curve? What is Wien's displacement law and how does it relate to a blackbody and a blackbody curve?

A single mass m₁ = 3.5 kg hangs from a spring in a motionless elevator. The spring is extended x = 15 cm from its unstretched length. Spring constant is 228.9

2) What is the distance the lower spring is stretched from its equilibrium length?

3) Now the elevator is moving downward with a velocity of v = -2.7 m/s but accelerating upward with an acceleration of a = 5.5 m/s². (Note: an upward acceleration when the elevator is moving down means the elevator is slowing down.)

What is the force the bottom spring exerts on the bottom mass?

is the elevator speeding up? slowing down? moving at a constant speed?

6) Rank the distances the springs are extended from their unstretched lengths:

A man with mass m₁ = 59 kg stands at the left end of a uniform boat with mass m₂ = 163 kg and a length L = 3.5 m. Let the origin of our coordinate system be the man’s original location as shown in the drawing. Assume there is no friction or drag between the boat and water.

1)What is the location of the center of mass of the system?

2)If the man now walks to the right edge of the boat, what is the location of the center of mass of the system?

3)After walking to the right edge of the boat, how far has the man moved from his original location? (What is his new location?)

4)After the man walks to the right edge of the boat, what is the new location the center of the boat?

5)Now the man walks to the very center of the boat. At what location does the man end up?

A tube of air open at only one end is vibrating in the 5th harmonic from a tuning fork of frequency 120 Hz placed at the open end. If this tube of air were to vibrate at its fundamental frequency, what frequency, in Hz, tuning fork would be needed at the open end

Descirbe what energy transformations and/or transfers are occuring in the following activities. Add enough detail to justify your answer.

A) Chemical energy to thermal energy followed by work done.

B) Kinetic energy to potential energy with no change in thermal energy.

   \(\int_{0}^{\pi}e^xsinx dx\) with n=6 subdivisions

1) Find the exact value of the integral

2) Approximate the integral using the trapezoidal rule, midpoint rule and simpson rule.

3) Find the errors using each of these rules

4) For each of these rules, show how large n should be, to be within .0001 of the actual answer.

A 19.0-kg cannonball is fired from a cannon with muzzle speed of 1 150 m/s at an angle of 35.0° with the horizontal. A second ball is fired with the same initial speed at an angle of 90.0°. Let y = 0 at the cannon.

(a) Use the isolated system model to find the maximum height reached by each ball.

(b) Use the isolated system model to find the total mechanical energy of the ball–Earth system at the maximum height for each ball.

Two clever kids from Kentucky use a huge spring with spring constant k= 890 N/m to launch their sled at the top of a 9.5 m high hill. The mass of kids plus the sled is 80 kg. The brilliant kids are able to compress the spring 2.6 m.

a. Determine their speed at the bottom of the hill. Neglect friction. Use conservation of energy.

b. What fraction of their final kinetic energy was initially stored in the spring?

c. Now assume that the surface of the snow is not frictionless and has a coeficcient of kinetic friction uk=0.100. Determine their speed at the bottom of the hill. Assume that the slope has an average incline of 60 degree.

Please show your work clearly and write step by step solution including numeric substitutions and etc. To make it easier, please do this in paper and include the pictures. thanks

Give an example of an experiment to determine the focal length of a concave lens.

(Note that such a lens cannot project a real image onto a screen by itself, so you will need to use a two-lens system). List all materials use and describe how/why the experiment works.