Suppose a race car speeds along a
curve with a constant tangential
speed of 75.0 m/s. Neglecting the
effects due to the banking of the
curve, the centripetal acceleration
2
on the car is 22.0 m/s .What is the
radius of the curve?
The largest tire ever made
had a radius of 1.75 m.
Suppose this tire underwent
a centripetal acceleration
2
0.83 m/s . What
would the
velocity be?
A 615 kg car completes one lap
in 14.3 s around a circular
track w/ a radius of 50 m. Find
the linear speed of the car. Find
the centripetal acceleration.
Find the magnitude of the force
that produces this
Acceleration.
A 45 kg child riding a Ferris
wheel has a tangential speed of 8.5
m/s. What is the centripetal
acceleration of the child if the
distance from the child to the axis
of the wheel is 18 m. Find the
magnitude of the Normal force on
the child at the top.
A motorcycle and its rider have a
mass of 235 kg. The motorcycle has a
velocity of 25 m/s and moves in a
circular path with a radius 25 m.
What is the centripetal acceleration of
the motorcycle? What is the
centripetal force acting on the
motorcycle (type of force & value).
What is the coefficient of friction?
Spin Out
If the ride has a radius of 2 m and
rotates once every 0.9 s, and the mass
of the rider is 40 kg. (a)what is the
speed of the rider? (b)What is the
centripetal acceleration? (c)What
causes this acceleration? (d)When
the floor drops, what holds the rider
up? (e) What is µ, if the m = 40 kg
A 2 kg object is attached to a
1.5 m long string and swung
in a vertical circle at a
constant speed of 12 m/s.
What is the tension in the
string at the top of the
circle? At the bottom?
Let’s say you jumped up 0.5 m
from the Earth. Assuming you
know nothing about Fg and only
knew of FG, then knowing the
24
Earth’s mass (5.98 x 10 kg) and
6
the Earth’s radius (6.37 x 10 m),
find the acceleration you
experience.
The magnitude of the
gravitational force between
two rocks just before they
collide (r = 0.04 m) is 5.2 ×
–2
10 N. If one rock
has a mass of 200 kg, what is
the mass of the other rock?
Deimos, a satellite of Mars,
has an average radius of 6.3
km. If the gravitational force
between Deimos and a 3.0 kg
rock at its surface
–2
is 2.5 ×10 N,
what is the mass
of Deimos?
Find the magnitude of the
mutual gravitational force
between the Earth and the
Moon. What is
the orbital
velocity of the
moon?