A race car travels 40 m/s around a banked (45 with the horizontal) circular
(radius = 0.20 km) track. What is the magnitude of the net resultant force on the
80-kg driver of this car?
A 2.5-kg mass attached to the end of a stri
1. At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y
direction and moves in the xy plane with a constant acceleration of
(2. i 4. j m/s 2 . At the instant the x coordinate of the particle is 15 m, wha
1. At an instant when a 4.0-kg object has an acceleration equal to (5i + 3j) m/s2,
one of the two forces acting on the object is known to be (12i + 22j) N.
Determine the magnitude of the other force acting on the object.
2. A person w
Two vectors lying in the xz plane are given by the equations A = 2i + 3k and
B = i + 2k. What is the value of A B ?
A car of mass 1000 kg moves with a speed of 50 m/s on a circular track of radius
100 m. What is the magnitude o
ofthecentreofmassattimetlater. [Hint: Find the position vector of each particle at
Three 5.0-kg masses are located at points in the xy plane, as shown. What is the
magnitude of the resultant gravitational
force (caused by the other two masses) on
the mass at x = 0.40 m, y = 0?
[Hint: Calculate the vector force
Two harmonic (sinusoidal) waves are described by
y1 = ( m )sin x
y2 = ( m )sin x
What is the amplitude of the resultant wave y1 + y2?
[Hint: Use a trigonometric identity to write the sum as a produ
A wheel rotating about a fixed axis at a constant angular acceleration of 1.2
rad/s2 has an initial angular velocity of 5.0 rad/s. How long will it take to
undergo 10 complete revolutions?[Hint: Find the total angle turned through
A 0.30-kg object , tied to the end of a 3.0-m string, is released from rest when the
string makes an angle of 50 with the vertical and swings as a pendulum. When
its speed first reaches 3.9 m/s, determine
(a) the objects kinetic e
1. A particle confined to motion along the x axis moves with constant acceleration
from x = 2.0 m to x = 8.0 m during a 2.5-s time interval. The velocity of the
particle at x = 8.0 m is 2.8 m/s. What is the acceleration during this ti
1. The position of a particle moving along the x axis is given by
x = 21+ 22 6. t2 m , where t is in s. [Hint: take care with precision]
(a) What is the average velocity during the time interval t = 2.0 s to t= 3. s?
A 5.0-kg object is pulled along a horizontal surface at a constant speed by a 15-N
force acting 20 above the horizontal. How much work is done by this force as
the object moves 6.0 m?
A constant force of 15 N in the negative y
PHYS 1303 Introductory Mechanics
You are driving into St. Louis and in the distance you see the famous Gateway-to-theWest arch. From your guide book you know that this monument rises to a height of 192m.
You estimate your line
A body of mass 5.0 kg is suspended by a spring of constant 490 N/m which
stretches 10 cm when the mass is attached. It is then displaced downward an
additional 5.0 cm and released. What is its position as a function of time y(t)?
The force an ideal spring exerts on an object is given by Fx = kx, where x
measures the displacement of the object from its equilibrium (x = 0) position. If
k = 60 N/m, how much work is done by this force as the object moves from
In the figure, draw and label the force vectors acting through the point where the
3 strings meet. If the tension in string 1 is 34 N and the tension in string 2 is 24 N,
what is the mass of the object shown?
If = 40 an
Always use a notation (underline, arrow, etc.) to distinguish vectors from scalars.
1. The vectors A, B, and C are shown below.
2 C 2
Using 1 in = 2.54 cm and 1 mile = 5280 feet, find the conversion factor to convert
miles per hour
to meters per second to an appropriate precision.
How many significant figures are in the following quantities?
Derive the relationship between the coefficient of kinetic friction k and the
angle of application of the least force needed to drag a box at constant speed
across a surface. [Hint: Find a general expression for the force needed as
The variation in the pressure of helium gas, measured from its equilibrium value,
is given by P = 2.90 105 cos (6.20x 3000t) where x and t have units m and s.
Determine the speed, wavelength, and frequency of the pressure wave.
A 2000-kg truck traveling at a speed of 6.0 m/s makes a 90 turn in a time of 4.0 s
and emerges from this turn with a speed of 4.0 m/s. What is the magnitude of
the average resultant force on the truck during this turn?[Hint: Calcu
An earthquake emits both S-waves and P-waves which travel at different speeds
through the Earth. A P-wave travels at 9000 m/s and an S-wave travels at
5000 m/s. If P-waves are received at a seismic station 1.00 minute before an
1. A race car moving with a constant speed of 60 m/s completes one lap around a
circular track in 50 s. What is the magnitude of the acceleration of the race car?
A car travels counterclockwise around a flat circle of radius 0.25 k