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b) Show that there is a time dilation for a clock that moves at a relativistic velocity v relative to an
observer who is on the ground taking readings.
Tom was able to see leah doing calculation in her space plane that was moving at 0.5c. Tom who is in
an inertial frame that is at rest uses his clock and notices that she takes exactly one minute to finish her
calculation. How much time did she take by his (Tom’s) clock?
If a charge of magnitude 6.5x10^17C is being held in a place 2x10^-8m from a charge of -8x10^-19C Which is also being held in place. What is the electric potential of the system
A capacitor of capacitance micro-microfarads consists of two parallel plates each moving an area of 200 cm¹, separated in air a distance d apart. This condenser is charged to a difference in potential of 200 V and it is then disconnected from the source. Find (a) the distance of separation d. (b) the charge stored in the condenser. (c) the work done in storing this charge, and (d) the work needed to pull the plates apart to a distance of 3d.
The uniform bar weighs 45 N and is subjected to the forces as shown. Find the magnitude, location and direction of the force needed to keep the bar in equilibrium
A roller coaster which weighs 640 lb starts from rest at point A and begins to coast down the track. If the frictional force is 5.0lb, how fast will the coaster be going at point B, which is 100 ft down the track and 30 ft below point A, and at point C, which is 50 ft farther along the track and 20 ft higher than point B?
A boy traveled 10 meters to the east and then he turned 4 meters to the North. What is his resultant displacement.
The electromagnetic spectrum contains various types of radiation with dierent properties. The
James Webb Space Telescope is not like an optical telescope at home and does not capture visible light; instead, it observes the sky in the infrared spectrum.
Explain what infrared radiation is and answer the following questions: How is infrared radiation
dierent from visible light? Why does the JWST observe infrared light, and what are the scientific advantages for astronomers?
The James Webb Space Telescope is positioned around 1.5 million kilometres from the Earth on
the side facing away from the Sun. The telescope remains at this distance and orbits around the
Sun with the Earth’s orbital velocity.
(a) Why is it important to position the JWST behind the Earth?
(b) Determine the angular velocity ω of the telescope as it orbits around the Sun.
The centrifugalFω and gravitational forceFG are acting on objects orbiting the Sun: F = Fω−FG
(c) Based on this, how much should the telescope accelerate towards or away from the Sun?
(d) Why is the orbit of the telescope stable nonetheless? What otherforces need to be considered?
Neutron stars are some of the densest objects in the universe. They form during supernova ex-
plosions and are very small compared to other astronomical objects. You can assume 5 x 1017
kg/m3 as the average density of a neutron star. The Earth has a total mass of about 5.97 x 1024 kg.
What would be the diameter of the Earth if it had the density of a neutron star?
