Break the following vectors down into their perpendicular
components.a) 500 N at
135° b) 225 km/hr at 300°c) 55 mi/hr at 37°
From
the x and y components given, find the direction and magnitude of the
resultant.
a.
Fy = 120 N, Fx = 345 N b. vy
= 31 m/s, vx = 8 m/s c. ax = -15 m/s2,
ay = 12 m/s2
A
point in the xy plane has cartesian coordinates (- 3.00, 5.00) m. What are the polar
coordinates of this point?
A boat makes its way west at 12 m/s, while the current of the river
on which it sits is flowing south at a speed of 5 m/s. What is the
resultant magnitude and direction of the boat?
If An airplane is flying at 300
miles per hour, heading 30 degrees North of East. What are the magnitudes
of the North and East components of the velocity?
A wind from due North starts
blowing at 40 miles per hour. What is the new velocity of the plane? (magnitude and direction)
Three
forces act simultaneously on point J. One force is 10.0 N north; the second is 15.0 N west; the third is 15.0 N
300O east of north. Determine the magnitude and direction of
the resultant force.
Problems for Regular Physics ONLY
A
soccer ball is kicked with a horizontal velocity of 11.3 m/s and a
vertical velocity of 3.5 m/s. What is the magnitude and direction of
the ball's
velocity?
A
hiker leaves camp and, using a compass walks 4 km E, 6 km S, 3 km E, 5 km
N, 10 km W, 8 km N, and 3 km S. At the end of three days, the hiker is
lost. Determine how far the hiker is from camp and which direction should
be taken to get back to camp.
Dan
applies a force of 92 N on a heavy box by using a rope held at an angle of
45O with the horizontal. What are the vertical and horizontal
components of the 92-N force?
A plane flies at a speed of 250 km/hr North,
while being blown by a wind of 75 km/hr West. What will be the plane's
resultant speed and direction?
Problems for Level 1 Physics ONLY
A ship
leaves its home port expecting to travel to a port 500 km due south.
Before it can move, a severe storm comes up and blows the ship 100 km due
east. How far is the ship from its destination? In what direction must the
ship travel to reach its destination?
Kyle
is flying a plane due north at 225 km/h as a wind carries it due east at
55 km/h. Find the magnitude and direction of the planes resultant velocity
analytically.
A
descent vehicle landing on the moon has a vertical velocity toward the
surface of the moon of 35 m/s. At the same time, It
has a horizontal velocity of 55 m/s. a) At what speed does the vehicle
move along its descent path? B) At
what angle with the moon’s surface is this path?
Kyle
wishes to fly to a point 450 km due south in 3.00 hours. A wind is blowing
from the west at 50 km/hr. Compute the proper heading and speed that Kyle
must choose in order to reach his destination on time.
Vector A is 3.00 units
in length and points along the positive x axis. Vector B is
4.00 units in length and points along the negative y axis. Use analytical
methods to find the magnitude and direction of the vectors (a) A + B,
(b) A - B.
A particle moves from a point
in the xy plane having cartesian coordinates (-
3.00, - 5.00) m to a point
with coordinates (- 1.00, 8.00) m.
(a) Write vector expressions for the position vectors in unit-vector form
for these two points. (b) What is the displacement vector?
An airplane is flying in the
presence of a 100 km/h wind directed due north. What must be the velocity
and heading of the plane if it is to maintain a velocity of 500 km/h due
east with respect to the ground?