m1-extra-sample-problems - Phys133 Mid-Term#1 Extra short...

Phys133 Mid-Term#1
Extra short problem samples
1. A binary system has a parallax p=0.1 arcsec.
a. What is it's distance in pc.
b. If the stars have an observed angular separation of a=1 arcsec,
what is their physical separation of the stars in AU?
2. How long does it take a car traveling at a speed of v= 60 km/hr to travel a
distance d=120 km?
3. If ball is dropped from rest, then from earth's gravity, how fast is it moving after t=5
sec.
4. If a car going a speed of 10 m/sec takes a time t=10 sec to stop, what is its mean
acceleration a, in m/sec^2?
5.. Consider a full size truck of mass m1=3000 kg traveling at a speed v1=20 m/sec,
and a compact car with mass m2=1000 kg traveling at a speed of v2= 40 m/sec?
a. What is the ratio of their momentum, p2/p1?
b. What is the ratio of the kinetic energy, E2/E1?
6. A planet obits a star at distance of d=2 AU over a period P= 4 years.
a. What is the circumference C of the orbit in AU?
b. What is the orbital speed V, in AU/yr.