Physics Vectors Level: High School
Vector A has a magnitude of 4.00 units, vector B has a magnitude of 5.00 units, and the dot product A . B has a value of 18. what is the angle between the directions of A and B ?
Physics Kinematics Level: High School
Use the definition of scalar product, a . b = ab cos theta, and the fact that a . b = axbx + ayby + azbz to calculate the angle between the two vectors given by a = 3.0 i + 5.0 j + 2.0 k and b = 5.0 i + 1.0 j + 4.0 k.
Physics Kinematics Level: High School
A person walks in the following pattern: 8.6 km north , then 1.5 km west , and finally 5.6 km south . Construct the vector diagram that represents this motion and from it judge how far and in what direction a bird would fly in a straight line from the same starting point to the same final point . (Choose east as the +x direction)
Physics Kinematics Level: High School
A displacement vector r in the xy plane is 8 m long and directed at angle theta = 30 degree as shown in the figure at “click here” . Determine the x and y component of the vector .
Physics Force & Laws Of Motion Level: High School
A certain string is breaks when it is subjected to 400 N tension. A boy uses this string to whirl a 5.0 kg stone in a horizontal circle of radius 5.0m. The boy continuously increases the speed of the stone. At approximately what speed will the string break ?(a)10 m/s
(b)20 m/s
(c)80 m/s
(d)100 m/s (1.0 x 10^2 m.s)
(e)400 m/s (4.0 x 10^2 m/s)
What is the rotation rate (revolutions per minute (rpm) of the stone just before the string breaks ?
(f) 0.050 rpm,
(g) 0.64 rpm,
(h) 1.6 rpm,
(i) 38 rpm,
(j) 60 rpm
Physics Force & Laws Of Motion Level: High School
block of wood is sliding down a plane which is inclined 50.0 degree with respect to the ground . The coefficient of kinetic friction between the block of the wood and the inclined plane is 0.125 . Find the acceleration of the block .
Physics Force & Laws Of Motion Level: High School
The ball in the figure as shown at “click here” is supported by the two massless cables You are told that the weight of the ball is 175 N . What are the tensions in the cable 1 and cable 2 ? With the information gives to you , do the tensions depend on whether or not this problem is being solved on Earth or Zarkon ? Assume that this situation is on Zarkon , what is the mass of the ball ?
Physics Kinematics Level: High School
Prior to the diving competition on Zarkon , one of the intragalactic divers kicks a stray meteor off the 10.0 meter diving platform . (ie, the top of the platform is 10.0 meters above the water) Assume she kicks the rock horizontally off the board at a speed of 7.00 m/s :(a) How long does it take for the rock to hit the water( or whatever you swim in on Zarkon) ?
(b) How far from the base of the diving platform does the rock hit the water ?( take the base of the platform to be directly below the edge facing the water)
(c) What is the speed of the rock when it hits the water ?
Physics Kinematics Level: High School
At some point in the future , after the Earth Olympics , the Milky Way Olympics are held on the planet Zarkon . (Zarkon is inhabited by folks who like to think up physics questions ). This planet has a mass that is 0.100 that of the earth , and a radius that is 0.500 that of Earth . Zarkon also has a little moon Abba . Abba has a mass which is 0.010 that of Zarkon , and a radius which is 0.20 that of Zarkon . What is the acceleration of gravity at the surface of the Abba ?
Physics Kinematics Level: High School
An Olympic shot putter is doing his thing : His shotput ball , with a mass of 6 kg, lands 20.0 meters from where he launched it at a 45.0 degree angle . Assume he accelerated the shot uniformly for 0.400 seconds , and neglecting the acceleration distance and any height difference between launch and landing (both not quite true) , with how much force did he put the shot ?
Physics Kinematics Level: High School
In the metric drag races (a previously-unreported Olympic event) , the hottest cars cross the finish line at speeds of 100 m/s . Assume these cars accelerate uniformly and continuously , what is the magnitude of their average acceleration if the drag track is 400 meters long ?
Physics Kinematics Level: High School
In the Olympic trials , the winner of the first heat takes 42 seconds to run the 400 meter sprint . This race complete one lap around the track (assumed to be exactly 400m in circumference) . and the finish line is located at the same point on the track where the sprinters began their race . What was the average velocity of the race winner ?
Physics Kinematics Level: High School
Some students have gone to visit Valley of Fire State Park to study rock formations . They park their car and then begin walking to various interesting areas . First they walk northeast(45 degree north of east) for 900 , meters . Then , they walk 1.200 km in a direction 50 degree north of west . Finally , they walk 0.700 in a direction 30 . degree south of west and then set up camp for the night . It took two hours for the students to walk from their car to their camp .a) How far is the camp from the car (distance and direction , with respect to north) ?
b) What was the students average speed between the car and the camp ?
c) What was the students average velocity between the car and the camp ?
Mathematics Algebra Level: High School
Consider the sequence that begins 1,1,1… and continues by the rule: Every subsequent element of the sequence is the sum of the three preceding elements. Determine the next five (fourth through eighth) elements of the sequence. Compute the ration of the seventh and eighth elements of the sequence. Is it close to the Golden Ratio ?
Physics Kinematics Level: High School
A city block 500 ft by 500 ft has large building 300 ft by 300 ft in the exact centre . The rest of the block is an unobstructed paved lot . What is the shortest distance from the SW corner to the NE corner of the city block , going through the paved lot . (to the nearest foot) ?