A)

A student stretches an elastic band by 0.8 m in 0.5 seconds. The spring constant of the elastic band is 40 N/m. What was the power exerted by the student?

B)

A student pushes a 0.2 kg box against a spring causing the spring to compress 0.15 m. When the spring is released, it will launch the box vertically into the air. What is the maximum height the box will reach if the spring constant is 300 N/m?

C)

A student connects a 1 hp motor to a bicycle. How much time will it take for the bicycle to accelerate from rest to a speed of 5.0 m/s if the combined mass of the student and the bicycle is 120 kg? (1 hp = 746 W)

A youngster is holding a ball with a diameter of 5.60 cm and average density of 0.0837 g/cm³ under water. Determine the force (in N) needed to hold it completely submerged.

magnitude  N

direction ---Select--- upward downward

Two point charges, q₁= +2 nC and q₂= -18 nC, are located on the x-axis at x= 0 and x=4 m. What is the distance of ZERO electric field from the positive charge?

why is a car a good place to hide from lightning? [try to explain in terms of electric fields]

Discuss the magnet, gradient coils, and RF coils in a MRI scanner. Include a figure and some of the design considerations required for each component.

Amy and bob are in an archery competition. the goal is to hit a target taht is on a wall 50m away from them horizontally. the target is 21m vertically above the ground, and both competitors hold their bows 1m above the ground, so the vertical displacement is 20m. they both use the same bow, which shoots arrows at a speed of 35 m/s at the moment of release.

A) Bob decides to aim directly at the target. what angle has bob chosen?

B) Bob shoots and misses. He forgot to account for the effect of gravity when he aimed; he failed to aim above the target, so his arrow ends up below the target. Exactly how far below the target does Bob's arrow hit the wall?

C)Amy knows what she must aim above the target to make the shot. In fact, there are actually two angles that will cause her to hit the target. What are they?

D)Roughly sketch the path for all three arrows: Bob's miss and Amy's two possible hits.

A baseball player at bat hits a ball to the outfield. The baseball is hit when it is at a height of 1.60 m above the home plate. The ball’s velocity the instant it is hit is 34.00 m/s at an angle of exactly 54.00^o above the horizontal. The ball lands safely in the outfield. Assume that the entire baseball ground is horizontal.

(a) What are the vertical and horizontal components of the ball’s acceleration while it is in the air?

(b) What are the vertical and horizontal components of the baseball’s speed the instant after it was hit?

(c ) What is the maximum height of the baseball above the ground?

(d) What is the Range of the baseball?

(e) What is the velocity (vector) of the ball the instant before it hits the ground?

Do the resistors on the Ohm’s law board actually have the values claimed by the manufacturer, as indicated by the color code?

2. The average distance between two neighboring stars in our galaxy is about 5 light-years. (a)

How many years would it take the Voyager 1 Space Probe to travel 5 light-years?

(b) If an alien civilization built a spaceship that can travel 5 light-years in 1000 years. How many kilometers does this spaceship travel in 1 second? (hint: Google “how far is 1 light-year”)
3. (a) How many minutes would it take the alien spaceship in question 2 to go from Earth to the moon?

(b) How many minutes would it take Voyager 1 to travel the same distance? (hint: Google “average distance between Earth and Moon”)

A brass rod with a length of 1.23 m and a cross-sectional area of 1.53 cm2 is fastened end to end to a nickel rod with length Land cross-sectional area 1.29 cm2 . The compound rod is subjected to equal and opposite pulls of magnitude 3.57×10⁴ Nat its ends.

a- Find the length L of the nickel rod if the elongations of the two rods are equal. (in m)

b- What is the stress in the brass rod? (in Pa)

c- What is the stress in the nickel rod? (in Pa)

d- What is the strain in the brass rod?

e- What is the strain in the nickel rod?

1.) A conducting loop is sitting in a magnetic field. Which of the following actions would cause the magnetic flux through the loop to change? Select all that apply.

a) change the strength of the magnetic field

b) rotate the loop

c) change the material from which the loop is made

d) change the area defined by the loop

2.) Which of the following statements are false? Select all that apply.

a) An induced magnetic field must point in the same direction as the applied magnetic field.

b) An induced magnetic field must point in the opposite direction of the applied magnetic field.

c) An induced current exists in a loop if there is a constant magnetic flux through that loop.

7. A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles?

A light spring of force constant 4.45 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.450 kg block on the right. Both blocks are at rest on a horizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following. In each case, assume that the coefficient of static friction is greater than the coefficient of kinetic friction. Let the positive direction point to the right.

A cube of edge length ℓ = 2.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components Bx = +7.0 T, By = +2.0 T, and Bz = +1.0 T.

(a) Calculate the flux through the shaded face of the cube. [Answer] T · m²

(b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? [Answer] T · m²

Steam at 100°C is added to ice at 0°C.

(a) Find the amount of ice melted and the final temperature when the mass of steam is 12 g and the mass of ice is 45 g. Answers in g and °C

(b) Repeat with steam of mass 1.9 g and ice of mass 45 g. Answers in g and °C