A car travels at 50 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 65 cm. Relative to a woman riding in the car, what are the following values? (a) the velocity at the center of each tire (Express your answer in vector form.) ✓center = Oi m/s (b) the velocity at the top of each tire (Express your answer in vector form.) V 13.89i = top m/s (c) the velocity at the bottom of each tire (Express your answer in vector form.) ✓ -13.89i bottom= m/s Jus t / THE SY (d) the magnitude a of the acceleration at the center of each tire 0 m/s² (e) the magnitude a of the acceleration at the top of each tire 0 x m/s2 (f) the magnitude a of the acceleration at the bottom of each tire x m/s² 0

In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i

A hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

A vector 'A' has components Ax = −6.00 m and Ay = 6.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

Vector Ä has a magnitude of 10 units and a direction angle of 14° measured counterclockwise from the positive r-axis. Vector B has the same r-component as Ä, but its y-component is 3 times larger. What is the magnitude and direction angle of vector B?

The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. &h= Suppose a 74.35 kg hiker has ascended to a height of 1893 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %

A hiking girl needs to go 59.3 km straight North to get to base camp, instead the compass confuses her and she travels 33.208 km at a 4.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 18.4° deflection West of straight North and then hikes 46.254 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂

The magnitude of Ais 5.5 m, and this vector lies in the second quadrant and makes an angle of 34 ° with the +y-axis. What is the x-component?

Vector A has an x-component of 8.08 and a y-component of 2.87. Vector B has an x-component of 3.02 and a y-component of 4.60. The magnitude of the vector (A - B) is