1) An 10.0 g bullet, moving at 200 m/s, goes through a stationary block of wood in 3.0 x 10-4 s, emerging at a speed of 200 m/s.
(a) What average force did the wood exert on the bullet?
(b) How thick is the wood?
2) An artificial Earth satellite, of mass 3.00 x 103 kg, has an elliptical orbit, with a mean altitude of 500 km.
(a) What is its mean value of gravitational potential energy while in orbit?
(b) What is its mean value of orbital kinetic energy?
(c) What is its total energy while in orbit?
(d) If its perigee is 150 km, what is its orbital velocity at perigee?
3) A positive charge of 3.2 x 10-5 C experiences a force of 4.8n to the right when placed in an electric field. What is the magnitude and direction of the electric field at the location of the charge?
4) What is the gravitational field intensity at the surface of Mars if a 2.0kg object experiences a gravitational force of 7.5 N?
5) What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?
6) Find the electric potential energy stored between charges of +2.6 μC and -3.2 μC placed 1.6m apart
7) A pair of metal plates, mounted 1.0cm apart on insulators, is charged oppositely. A test charge of +2.0 μC placed at the midpoint, M, between the plates experiences a force of 6.0 x 10-4 N [W]
(a) What is the electric field intensity at M?
(b) What is the electric field intensity at a point 2.0mm from negative plate?
(c) What is the electric field intensity at a point 1.0mm from the positive plate?
(d) What are two possible ways in which you could double the strength of the electric field?
8) When an 80.0 V battery is connected across a pair of parallel plates, the electric field intensity between the plates is 360.0N/C.
(a) What is the distance of separation of the plates?
(b) What force will be experienced by a charge of -4.0 μC placed at the midpoint between the plates?
(c) Calculate the force experienced by the charge in part (b) if it is located one quarter of the way from positive plate.
9) Two large horizontal parallel plates are separated by 2.00cm. An oil drop, mass 4.02 x 10-15 kg, is held balanced between the plates when a potential difference of 820.0V is applied across the plates, with the upper plate being negative
(a) What is the charge on the drop?
(b) What is the number of excess or deficit electrons on the oil drop?
10) A proton is projected into magnetic field of 0.5T directed into the page. If the proton is travelling at 3.4 x 105 m/s in a direction [up 28o right], what is the magnitude and direction of the magnetic force on the proton?
11) A 2.4 x 10-3-C positive test charge is placed between two plates. The potential difference between two parallel metal plates is 30 V. Plate A is positive and plate B is negative. Which plate has a higher electric potential?
(a) Plate A
(b) Plate B
(c) Plates A and B have the same potential.
(d) If the positive charge is placed closer to the positive plate, then plate A will have a greater electric potential.
(e) If the positive charge is placed closer to the negative plate, then plate B will have a greater electric potential.
12) (a) Calculate the electric field 2.0 m from a small sphere with a positive charge of 2.3 x 10-3 C.
(b) Charged spheres X and Y are in a set position and have charges -2.4 x 10-3 C and +3.3 x 10-2 C, respectively. Calculate the net force on sphere Z, of charge -1.7 x 10-6 C.
13) Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10-4 m slit falling onto a screen 68cm away.
14) A special effects creator wants to generate an interference pattern on a screen 6.8m away from a single slit. She uses 445 nm light and hopes to get the second dark fringe exactly 48 cm from the middle of the central bright maximum. What width of the slit does she require?
15) What is the speed of light in water if, in water,
ε = 7.10 x 10-10 C2/N.m2 and μ = 2.77 x 10-8 N/A2.
16) (a) Determine the wavelength of an AM radio signal with a frequency of 6.40 x 106 Hz.
(b) Suggest why AM radio transmitting antennas are hundreds of meters tall.
17) An asteroid has a long axis of 725km. A rocket passes by a parallel to the long axis at a speed of 0.250c. What will be the length of the long axis as measured by the observers in the rocket?
18) An electron is moving at 0.95c parallel to a meter stick. How long will the meter stick be in the electron's frame of reference?
19) A neutron is measured to have a mass of 1.71 x 10-27 kg when travelling at 6.00 x 107 m/s. Determine its rest mass. Find the wavelength of a jet airplane with a mass of 1.12 x 105 kg that is cruising at 891km/h.
20) If the work function of the material is 2.0 ev and the light of the wavelength 500nm is shone on the metal, find the kinetic energy of the electron
1. Alpha centuari, the closest star to earth, is 4.3 x 1016 m away. How long would it take a spaceship to reach the star if were traveling at 0.999c.
2. A 1.0m long object with a rest mass of 1.0 kg is moving at 0.90c.find its relativistic length and mass.
3. A particle travels at 0.80c.if its rest mass is 2.58 x 10-28 kg, what is its relativistic kinetic energy compared to its classical kinetic energy.
22) Kyle is in his car traveling at a constant speed of 150 km/h down the road. He passes a police car that was stationary at the side of the road. He sees the radar reading and immediately begins accelerating (8 m/s/s) in order to catch the delinquent teenager. How long and how far down the road does he catch Kyle?
23) After landing safely on the target the cat tries another projectile apparatus. This time the cat is shot out of cannon over a 30 m high wall. The cat is launched at an angle of 55º0 and can be assumed to be at ground level during launch. With what speed (in km/h) does it have to be launched to make it approximately 5 m over the wall if the wall is 250 m from the cannon?
24) Box A (m=2.5 kg) is connected by a rope that passes over a frictionless pulley to Box B (m=5.5 kg), as shown in figure. The coefficient of kinetic friction between box and ramp is 0.54. Determine the acceleration of the boxes.
25) A 1.2 x 103 kg space probe, travelling initially at a speed of 9.5 x 103 m/s through deep space, fires its engines that produce a force of magnitude 9.2 x 104 N over a distance of 86 km. Determine the final speed of the probe.
26) An α particle of charge +3.2 x 10-19 C and mass 6.7 x 10-27 kg first accelerates through a potential difference of 1.2 x 103 V, then enters a uniform magnetic field of magnitude 0.25 T at 90o. Calculate the magnetic force on the particle.
27) Two sources are vibrating in phase, and set up waves in a ripple tank. A point P on the second nodal line is 12.0 cm from source A and 20.0 cm from source B. When the sources are started, it takes 2.0 s for the first wave to reach the edge of the tank, 30 cm from the source. Find the velocity, wavelength and frequency of the wave.