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Homework answers / question archive / UNIVERSITY OF TORONTO MISSISSAUGA DECEMBER 2018 FINAL EXAMINATION PHY146H5F 1: A soccer player can kick the ball 30 m distance on level ground, with its initial velocity at 30º to the horizontal
UNIVERSITY OF TORONTO MISSISSAUGA
DECEMBER 2018 FINAL EXAMINATION
PHY146H5F
A soccer player can kick the ball 30 m distance on level ground, with its initial velocity at 30º to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 10º upward slope?
PROBLEM 2
At the end of a factory production line, boxes start from rest and slide down a ramp 5.40 m long; the coefficient of kinetic friction between boxes and ramp is 0.37. If each box's time on the ramp is not to exceed 3.30 s, what's the minimum inclination angle for the ramp?
An imperfect spring has its force given by F=−kx−bx3, where k = 150 N/m. When this spring is stretched 40 cm from equilibrium, the potential energy is 17 J. Find the value of b.
Satellites A and B are in circular orbits, and A's period is 23/2 (~2.83) times B's period. How do their orbital radii compare?
A cylindrical drinking glass is 5.00 cm in diameter and 16.0 cm tall. The masses of its disk-shaped base and cylindrical sides are, respectively, 82.2 g and 54.3 g.
Assume the glass base and sides have negligible thickness.
A potter's wheel with rotational inertia 6.42 kg
m2 is rotating freely at 19.3 rpm. The potter drops a lump of clay onto the wheel, where it sticks 46.0 cm from the rotation axis. With the clay on the wheel, the wheel's rotation rate is 17.4 rpm. Find the mass of the clay.
A mass m is free to slide on a frictionless track whose height y as a function of horizontal position x is y=bx2, where b is a constant. The mass is set into motion, and the resulting period is 2.86 s. Find the value of b.
