Committing Crimes
A purse snatcher runs 60 m N and then 80 m east. What is the magnitude and direction of the resultant vector?
100 m @ 37 deg
Determine the magnitude of the following vector: <67 N, 67 N>
94.75 N
Write the following direction as an angle with the +x axis: 45 deg north of west.
135 deg.
Add the following vectors. Give your answer in component form: <12.3 m, 98.5 m> + <-34.4 m, 76.6 m>
<-22.1 m, 175.1 m>
The expected load for a bridge is 6.7 x 1012 N. The required safety factor is 2.3. What should be the max design load for the bridge?
1.54x1013 N
A shoplifter walks 50 m south through a mall, turns left, and walks 30 m east before hiding in a store. What is the magnitude and direction of the shoplifter's resultant vector?
50 m @ 306.87 deg (36.87 deg east of south)
Determine the magnitude of the following vector: <45 mph, 600 mph>
601.7 mph
Write the following direction as an angle with reference to the cardinal directions (N, S, E, W): 234 deg.
54 deg S of W
36 deg W of S
Your friend starts pushing you on a swing with a force of 56 N. Your back is 0.4 m x 0.6 m. What is the pressure on your back due to this force?
233 N/m2
The mass of a ferry is 65,000 kg. What is its weight?
637,650 N
A burglar mesmerizes his victim with a pendulum (you are getting sleepy...) before making off with his protractor. The length of the pendulum is 0.8 m. What is its period?
1.79 s
The magnitude of the pressure applied to an area of 5 m2 is 352 N/m2. What is the magnitude of the force applied?
1760 N
Find the direction of the following vector as an angle with the +x axis: <-34.4, 56.6>
121.3 deg
Your friend is pushing you on a swing. Your frequency is 0.22 swings per second. What is the length of the swing arm (treated as a pendulum)?
5.1 m
A swimmer pushes a floating raft directly west with a force Fs = 18.0 N. A gust of wind exerts Fw = 11.5 N at 38 deg south of east. Determine the magnitude and direction of the net force on the raft.
11.4 N at 218.6 deg
A graffiti artist tags a train station wall and then flees on bicycle 100 m at 45 deg NE, then 70 m directly west. What is the magnitude and direction of his resultant vector?
70.7 m @ 89.4 deg
A toy car with a mass of 20 kg has the following acceleration vector: <-32.3 m/s2, -43.4 m/s2>. Determine the magnitude of the force being applied to this car.
1082 N
A gravitational force of 55000 N is exerted downward on a body of mass 4444.4 kg on another planet. What is the acceleration due to gravity (g) on this planet?
12.38 m/s2
Two friends are moving a heavy cooler (mass = 36.0 kg) across a flat parking lot to a tailgate. Jack pulls the cooler with an applied force of 18.5 N at 20 deg north of east. Diane pushes the cooler with an applied force of 12.5 N at 35 deg south of east.
Calculate the magnitude and direction of the cooler’s acceleration.
0.77 m/s2
@ 358 deg
Total Load: 9.5 x 107 N
Structural Mass: 5 x 106 kg
Environmental Load: 1.2 x 107 N
What is the total mass of the live load elements?
3.5 x 106 kg
A thief uses a drone to steal a phone from a rooftop. The drone flies 20 m east, 25 m at 30 deg north of east, and then 35 m at 60 deg south of east. Determine the magnitude and direction of the resultant vector.
61.8 m @ 16.74 deg S of E (or 343.25 deg)
The magnitude of the live load on an office floor (caused by people and desks) is 7.5 x 105 N. Each person weighs approximately 700 N. Each desk weighs approximately 2500 N. There is a total of 500 people+desks. How many people and how many desks are present? Set up a system of equations to solve.
278 people, 222 desks
This figure (which I will put on the board) shows 3 ropes tied together in a knot. One of your friends pulls on a rope with a force of 3 N and another pulls on a second rope with a force of 5 N. How hard and in what direction must you pull on the third rope to keep the knot from moving (0 acceleration).
4.36 N at 263.4 deg.
The magnitude of the live load on an office floor (caused by people and desks) is 7.65 x 105 N. Each person weighs approximately 700 N. Each desk weighs approximately 2500 N. There is a total of 500 people+desks. How many people and how many desks are present? Set up a system of equations to solve.
278 people, 228 desks
A 5400 kg boat experiences: engine thrust 3700 N due east, wind force 950 N at 30 deg north of west, and water drag 1500 N due west. At 3 pm, 8 people (640 kg) board the boat. Determine the magnitude of the acceleration of the boat.
0.24 m/s2