PHY 131: Tutorial Problems
2022
Tutorial 3: 22 March to 25 March 2022
1.
Jerry bicycles from his dorm to the local fitness center: 4.828 km east and 3.219 km north. Cindy’s
apartment is located 2.414 km west of Jerry’s dorm. If Cindy is able to meet Jerry at the fitness center
by bicycling in a straight line, calculate the distance and direction she must travel.
[Answer: 7.918 km, 24 north of east]
2.
Two cars, a Porsche Boxster convertible and a Toyota Scion xB, are traveling in the same direction,
although the Porsche is 186 m behind the Toyota. The speed of the Porsche is 24.4 m/s and the speed
of the Toyota is 18.6 m/s. Calculate how much must if take the Porsche to catch the Toyota.
[Answer: 32 s]
3.
A car travels three-quarters of the way around a circle of radius 20 m in a time of 3 s at constant
speed. The initial velocity is west and the final velocity is south.
(a)
Calculate the average velocity for this trip.
(b)
Calculate the car’s average acceleration during this 3 s.
(c)
Explain how a car moving a constant speed has a nonzero average acceleration.
[Answer: (a) 9.4 m/s at 45 north of east (b) 15 m/s2 at 45south of east]
4.
In the drawing below, the rope and the pulleys are massless, and there is no friction. Calculate the
magnitude of:
(a)
the tension in the rope, and
(b)
the acceleration of the 10 kg block.
[Hint: The larger mass moves twice as far as the smaller mass]
[Answer: (a) T = 13.7 N (b) 1.37 m/s2]