1 UNITS, PHYSICAL QUANTITIES, AND VECTORS
EXERCISESSection 1.8 Components of Vectors
- Let the angle θ be the angle that the vector A makes with…
- Compute the x- and y-components of the vectors A, B…
- Vector A is in the direction 34.0° clockwise from the -y-axis…
- Vector A has y-component Ay = +13.0 m. A makes an angle…
- A postal employee drives a delivery truck over the route…
- For the vectors A and B in Fig. E1.28, use the method of…
- Two ropes in a vertical plane exert equal-magnitude forces…
- Vector A is 2.80 cm long and is 60.0 degrees above the x-axis…
Section 1.9 Unit Vectors
- In each case, find the x- and y-components of vector A…
- Write each vector in Fig. E1.28 in terms of the unit vectors i and j…
- Given two vectors A = 4.00i + 7.00j and B = 5.00i-2.00j…
- (a) Write each vector in Fig. E1.43 in terms of the unit vectors i…
Section 1.10 Products of Vectors
- For the vectors A, B, and C in Fig. E1.28, find the scalar products…
- (a) Find the scalar product of the two vectors A and B…
- Find the angle between each of the following pairs of vectors:…
- Find the vector product A x B (expressed in unit vectors) of the…
- For the two vectors A and D in Fig. E1.39, (a) find the magnitude…
- For the two vectors A and B in Fig. E1.43, (a) find the magnitude…
- For the two vectors A and B in Fig. E1.43, (a) find the scalar product…
- The vector A is 3.50 cm long and is directed into this page. Vector…
- Given two vectors A = -2.00i + 3.00j + 4.00k and B= 3.00i + 1.00j…
- An acre, a unit of land measurement still in wide use, has a length…
- An Earthlike Planet. In January 2006 astronomers reported the…
- BIO Breathing Oxygen. The density of air under standard laboratory…
- A rectangular piece of aluminum is 7.60 plus minus 0.01 cm long…
- As you eat your way through a bag of chocolate chip cookies, you…
- BIO Biological tissues are typically made up of 98% water. Given…
- Two workers pull horizontally on a heavy box, but one pulls twice as…
- Three horizontal ropes pull on a large stone stuck in the ground,…
- You are to program a robotic arm on an assembly line to move in..
- Emergency Landing. A plane leaves the airport in Galisteo and flies…
- As noted in Exercise 1.29, a spelunker is surveying a cave. She…
- (a) Find the magnitude and direction of the vector R that is the sum…
- A rocket fires two engines simultaneously. One produces a thrust of…
- A sailor in a small sailboat encounters shifting winds. She sails 2.00…
- BIO Dislocated Shoulder. A patient with a dislocated shoulder is…
- On a training flight, a student pilot flies from Lincoln, Nebraska,…
- Equilibrium. We say an object is in equilibrium if all the forces on it…
- Getting Back. An explorer in the dense jungles of equatorial Africa…
- A graphic artist is creating a new logo for her company’s website. In…
- A ship leaves the island of Guam and sails 285 km at 40.0 degrees…
- BIO Bones and Muscles. A patient in therapy has a forearm that weighs…
- You are hungry and decide to go to your favorite neighborhood fast-food…
- While following a treasure map, you start at an old oak tree. You first walk…
- A fence post is 52.0 m from where you are standing, in a direction…
- A dog in an open field runs 12.0 m east and then 28.0 m in a direction…
- Ricardo and Jane are standing under a tree in the middle of a pasture. An…
- John, Paul, and George are standing in a strawberry field. Paul is 14.0 m due..
- You are camping with two friends, Joe and Karl. Since all three of you like…
- Vectors A and B have scalar product -6.00 and their vector product has magnitude
- Bond Angle in Methane. In the methane molecule, CH4, each hydrogen atom is…
- Vector A has magnitude 12.0 m and vector B has magnitude 16.0 m.
- When two vectors A and B are drawn from a common point, the angle…
- A cube is placed so that one corner is at the origin and three edges are along…
- Vector A has magnitude 6.00 m and B vector has magnitude 3.00 m. The vector…
- The scalar product of vectors A and B is +48.0 m^2. Vector A has magnitude 9.00 m
- Obtain a unit vector perpendicular to the two vectors given in Exercise 1.53. A= -2.00i + 3.00j + 4.00k B=3.00i + 1.00j – 3.00k…
- You are given vectors A = 5.0i – 6.5j and B = -3.5i +7.0j. A third vector C lies in the xy-plane. Vector C is…
2 MOTION ALONG A STRAIGHT LINE
EXERCISESSection 2.1 Displacement, Time, and Average Velocity
- Starting from the front door of your ranch house, you walk 60.0 m due…
- In an experiment, a shearwater (a seabird) was taken from its nest…
- Trip Home. You normally drive on the freeway between San Diego and…
- From Pillar to Post. Starting from a pillar, you run 200 m east (the direction…
3 MOTION IN TWO OR THREE DIMENSIONS
EXERCISESSection 3.1 Position and Velocity Vectors
- A squirrel has x- and y-coordinates (1.1 m, 3.4 m) at time t1=0 and coordinates…
- A rhinoceros is at the origin of coordinates at time t_1=0. For the time…
- CALC A web page designer creates an animation in which a dot on a computer…
- CALC The position of a squirrel running in a park is given by r=[(0.280 m/s)t + …
Section 3.2 The Acceleration Vector
- A jet plane is flying at a constant altitude. At time t1 =0 it has components of…
- A dog running in an open field has components of velocity v_x=2.6m/s and…
- CALC The coordinates of a bird flying in the xy-plane are given by x(t)= \alpha t…
Section 3.3 Projectile Motion
- CALC A remote-controlled car is moving in a vacant parking lot. The velocity of…
- A physics book slides off a horizontal tabletop with a speed of 1.10m/s. It strikes…
- Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table...
- On level ground a shell is fired with an initial velocity of 50.0 m/s at 60.0° above…
