Question

The mast of a sail boat makes an angle theta with respect to the deck. An observer on a dock finds the boat moving at speed v. What angle does the mast make relative to this observer?

Answer #1

. A boat crossing a wide river moves with a speed of 15.0 km/h
relative to the water. The water in the river has a steady speed of
6.00 km/h due east relative to the earth.
a) If the boat heads due north, determine the speed of the boat
relative to an observer standing on the shore.
b) What is the angle made between the velocity of the boat relative
to the observer and the north direction?
c) At what...

You throw a rock at initial speed v0 with an upward angle theta
(relative to horizontal) off the edge of a deck of height y0 above
the ground. (a) Prove that the speed of v of the rock just before
it hits the ground is independent of theta. (b) If v0 = 11m/s and
y0 = 13m, what is v(in m/s)?

A meter stick at an angle of 30 degrees with respect to the
positive x-axis in its reference frame. It is also moving
horizontally with respect to an observer at a speed of 0.8c.
Determine the length and angle of the meter stick according to the
observer.

Two boats are heading away from shore. Boat 1 heads due north at
a speed of 2.98 m/s relative to the shore. Relative to Boat 1, Boat
2 is moving 29.0° north of east at a speed of 1.51 m/s. A passenger
on Boat 2 walks due east across the deck at a speed of 1.17 m/s
relative to Boat 2. What is the speed of the passenger relative to
the shore?

Spaceships X and Y are launched simultaneously with a speed of
0.8c, with X moving along the +x axis and Y moving along the +y
axis. Consider the motion of Y as seen by someone on X. (a) What is
the total velocity of Y measured by the observer on X? (b) What
angle (in degrees) does Y’s motion make with respect to the x-axis
as measured by the observer on X?

Uther Undlethwaite, the unremarkable pirate, paced the deck of
his pirate ship. The ship was sailing 0.62 radians North of East at
a speed of 13 m/s with respect to the water. The water water was
moving at a speed of 2 m/s (relative to the sea floor) directly
North. Uther walked 1.26 radians South of West at a speed of 1 m/s.
What was Uther's speed relative to the sea floor?

A 290-m-wide river flows due east at a uniform speed of 1.3m/s.
A boat with a speed of 8.9m/s relative to the water leaves the
south bank pointed in a direction 34o west of north. What is the
(a) magnitude and (b) direction of the boat's velocity relative to
the ground? Give the direction as the angle of the velocity from
due north, positive if to the east and negative if to the west. (c)
How long does it take...

In a pool game, the cue ball, which has an initial speed of 2.5
m/s, makes an elastic collision with the 8-ball, which is initially
at rest. After the collision, the 8-ball moves at an angle theta =
14.3 degrees with respect to the original direction of the cue
ball. Assume the pool table is frictionless and the masses of the
cue ball and the 8-ball are equal. The cue ball travels at an angle
of 90 degrees after the...

A pipe makes a 30 degree angle with surface of the sea and makes
its way down to the bottom. The speed of fluid at the surface is 15
m/s, and the speed of the fluid at the bottom is 10 m/s. At the top
is the pressure is 100000 Pa and at the bottom the pressure is
300000 Pa. The fluid is water. How deep does the pipe go
underwater? How long is the pipe on downward slant to...

A metal rod with a length of 30.0 cm lies in the
xy-planeand makes an angle of 36.9 ? with the positive
x-axisand an angle of 53.1 ? with the positive
y-axis. The rod is moving in the + x-direction
with a speed of 4.90 m/s. The rod is in a uniform magnetic field
B? =( 0.100 T )i^?( 0.290 T )j^?(
8.00×10?2 T )k^
A.) What is the magnitude of the emf induced in the rod?

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