Vectors
Projectile Motion
Circular Motion
Misc.
100
The magnitude of vector 𝐴⃗ is 18.5 and it lies in the fourth quadrant forming an angle of 55 ̊with the x axis. What are the components of vector 𝐴⃗?
E
100
Projectiles 1 and 2 are launched over level ground with the same speed but at different angles. Which hits the ground first?
A) Projectile 1 hits first
B) Projectile 2 hits first
C) They hit at the same time
D) Not enough info
B-- Projectile 2 hits first
100
A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on theflywheel rotates in 40 s?
2400 pi rad
100
The hat of a jogger running at constant velocity falls off the back of his head. (a) Draw a sketch showing the path of the hat in the jogger’s frame of reference. (b) Draw its path as viewed by a stationary observer. Neglect air resistance.
200
What is the vector sum of vectors A and B
-5i +9j -2k
200
A ball travelling horizontally at 4.0 m/s rolls off a 30.0 m cliff. What will be its velocity (magnitude and direction) as it reaches the ground?
24.6 m/s @ 81˚ below the horizontal
200
A car is traveling around a circular track with a diameter of 100m. At the instant the car’s speed is 20 m/s, its speed is increasing at a rate of 3m/s2. Determine the net acceleration of the car at that instant.
8.5 m/s2
ac=v2/r
anet=sqrt (ac+at)
200
A projectile is launched from the ground with an initial velocity vo at an angle Ɵ above the horizontal. How long will it take the projectile to reach the maximum height?
(vi*sin(theta))/g
300
A motorboat at point X must cross a river flowing as
shown in the above diagram. If the boat travels at a fixed
speed relative to the water, in which direction should
the boat head in order to reach the other side in the
least amount of time?
2
300
A physics student wants to hit a target with a rubber band ball from 1.8 meters away. If he throws the ball at a speed of 6 m/s and the target is at the exact same height as where the ball is thrown, what angle from the horizontal must he throw the ball to hit the target?
14.6o
300
Elias puts a 0.85 kg rock in his sling and twirls it at 3 rev/s. The rock moves in a circle with radius 35.0 cm. Ignoring the effect of gravity determine: (a) the acceleration of the rock, (b) the speed of the rock when it is released.
**must get both parts correct for credit
a) 125 m/s2 (towards the center)
b) 6.6 m/s
300
A geosynchronous satellite orbits Earth at a distance of 42,250 km and has a period of 1 day. What is the centripetal acceleration of the satellite?
0.223 m/s2
v=3072.5 m/s
400
Find the magnitude of A-B
12.9
400
A player spikes a volleyball from the service line, which is 9.1m away from the 2.3m tall net. The ball travels 39 degrees with respect to the ground after being hit 1.98m above ground.
What is the minimum velocity the ball can have to make it over the net?
9.8 m/s
400
A turntable that is initially at rest is set in motion with a constant angular acceleration α. What is the angular velocity of the turntable after it has made five complete revolutions?
(A) sqrt(5*pi*alpha)
(B) 3*sqrt(7*pi*alpha)
(C) 2*sqrt(5*pi*alpha)
(D) sqrt(3*pi*alpha)
(E) sqrt(9*pi*alpha)
C
400
A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind?
29.15km/h @ 14° north of east