= force [N] m = mass [kg] I = moment of inertia [kg · m2] h = distance between axis and center of mass [m] d (cos u) = − u’sin u dx P0 = atmospheric pressure if applicable [Pa or N/m2] ρ = density [kg/m3] g = gravity [m/s2] h = height [m] f = force [N] a = area [m2] F = force [N] A = area [m2] 1 f x’ = velocity of the oscillating object [m/s] x” = acceleration of the oscillating object m/s2] 1 atm = 1.01 × 105 Pa = 760 torr = 14.7 in2 f F = a A k (spring) m ω= E = U + K = 12 kx m 2 Pressure in a liquid: (due to gravity) [Pa or N/m2] P = P0 + ρ gh x = position [m] xm = amplitude [m] ω = angular frequency [rad/s] t = time [s] φ = phase angle [rad] (ω t + φ) = phase of the motion m (spring) k I T = 2π mgh Volume Elasticity: Bulk Modulus [Pa or N/m2] B =− 2π = 2π f T T = 2π rg Elasticity in Length: Young’s Modulus [Pa or N/m2] Y= ω= T= Angular momentum is conserved when torque is zero. An Optimally Banked Curve: x = x m cos(ω t + φ ) The Position Function for oscillating motion: ρ = density [kg/m3] g = gravity [m/s2] P1 + 12 ρ v12 = P2 + 12 ρ v 2 2 •1 SSM Earth is approximately a sphere of radius 6.37 × 106 m. What are (a) its circumference in kilometers, (b) its surface area in square kilometers, and (c) its volume in cubic kilometers? 2-The micrometer (1 μm) is often called the micron. (a) How many microns make up 1.0 km? (b) What fraction of a centimeter equals 1.0 μm? (c) How many microns are in 1.0 yd? 3. The fastest growing plant on record is a Hesperoyucca whipplei that grew 3.7 m in 14 days. What was its growth rate in micrometers per second? 4. Earth has a mass of 5.98 × 1024 kg. The average mass of the atoms that make up Earth is 40 u. How many atoms are there in Earth? 5. Iron has a density of 7.87 g/cm3, and the mass of an iron atom is 9.27 × 10−26 kg. If the atoms are spherical and tightly packed, (a) what is the volume of an iron atom and (b) what is the distance between the centers of adjacent atoms? Part 2: 1. While driving a car at 90 km/h, how far do you move while your eyes shut for 0.50 s during a hard sneeze? 2. An automobile travels on a straight road for 40 km at 30 km/h. It then continues in the same direction for another 40 km at 60 km/h. (a) What is the average velocity of the car during the full 80 km trip? (Assume that it moves in the positive x direction.) (b) What is the average speed? (c) Graph x versus t and indicate how the average velocity is found on the graph. 3. The position of an object moving along an x axis is given by x = 3t − 4t2 + t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object’s displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t = 2 s to t = 4 s? (g) Graph x versus t for 0 ≤ t ≤ 4 s and indicate how the answer for (f) can be found on the graph. 4. You are to drive 300 km to an interview. The interview is at 11:15 a.m. You plan to drive at 100 km/h, so you leave at 8:00 a.m. to allow some extra time. You drive at that speed for the first 100 km, but then construction work forces you to slow to 40 km/h for 40 km. What would be the least speed needed for the rest of the trip to arrive in time for the interview? 5. At a certain time a particle had a speed of 18 m/s in the positive x direction, and 2.4 s later its speed was 30 m/s in the opposite direction. What is the average acceleration of the particle during this 2.4 s interval? 6. SSM An electron with an initial velocity v0 = 1.50 × 105 m/s enters a region of length L = 1.00 cm where it is electrically accelerated (Fig. 2-26). It emerges with v = 5.70 × 106 m/s. What is its acceleration, assumed constant? 7. An electric vehicle starts from rest and accelerates at a rate of 2.0 m/s2 in a straight line until it reaches a speed of 20 m/s. The vehicle then slows at a constant rate of 1.0 m/s2 until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle travel from start to stop? 8. A car traveling 56.0 km/h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later. (a) What is the magnitude of the car’s constant acceleration before impact? (b) How fast is the car traveling at impact? 9. Figure 2-29 depicts the motion of a particle moving along an x axis with a constant acceleration. The figure’s vertical scaling is set by xs = 6.0 m. What are the (a) magnitude and (b) direction of the particle’s acceleration? 10. With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 50 m? (b) How long will it be in the air? (c) Sketch graphs of y, v, and a versus t for the ball. On the first two graphs, indicate the time at which 50 m is reached. 11. At a construction site a pipe wrench struck the ground with a speed of 24 m/s. (a) From what height was it inadvertently dropped? (b) How long was it falling? (c) Sketch graphs of y, v, and a versus t for the wrench. 12. As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a harness and free-falls. Figure 2-34 gives the vertical velocity of the package versus time, from before it breaks free to when it reaches the ground. (a) What maximum height above the break-free point does it rise? (b) How high is the break-free point above the ground? x (m) x x 2 1 (s) Figure 2-29 Problem 37. 아 -1 (s) 2 6 8 Figure 2-34 Problem 51.Do you similar assignment and would want someone to complete it for you? Click on the ORDER NOW option to get instant services at essayloop.com

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