Concept explainers
The value of g at any latitude ϕ may be obtained from the formula
which takes into account the effect of the rotation of the earth, as well as the fact that the earth is not truly spherical. Knowing that the weight of a silver bar has been officially designated as 5 lb, determine to four significant figures (a) the mass in slugs, (b) the weight in pounds at latitudes of 0°, 30°, and 50°.
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Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics
- 1. The weight of a body is 100 lbm. Determine the following: a. Its weight in Newtons (N); b. Its mass in kilograms (kg); and c. The rate of acceleration in SI and English units if a net force of 50 lb; is applied to the body.arrow_forward4. The value of the gravitational acceleration g decreases with elevation from 9.807 m/s? at sea level to 9.767 m/s² at an altitude of 13,000 m, where large passenger planes cruise. Determine the percent reduction in the weight of an airplane cruising at 13,000 m relative to its weight at sea level.arrow_forwardPROBLEM 2.5 A car moving at 80 km/h comes to a stop in 6.0 s. What was its average deceleration? 5. c. 1.45 m/s2 d. 3.70 m/s² а. 2.40 m/s² b. 4.21 m/s²arrow_forward
- For the 3500-lb car, determine (a) its mass in slugs, (b) its weight in newtons, and (c) its mass in kg. slug = lb-/ftarrow_forwardA force F = (8.05î - 3.35t j) N, with t in units of s, is applied to a 2.00 kg object initially at rest. (a) At what time (in s) will the object be moving with a speed of 15.0 m/s? (Round your answer to at least two decimal places.) (b) How far (in m) is the object from its initial position when its speed is 15.0 m/s? (c) What is the total displacement (in m) through which the object traveled at this time? (Express your answer in vector form.)arrow_forwardThe sea level value for the acceleration of gravity at 45° latitude in SI units is: 9.81 m/s². 32.2 m/s². O 32.2 ft/s². 9.81 ft/s².arrow_forward
- A person weighs 30 lb on the moon, where g = 32 ft/s2.Determine (a) the mass of the person; and (b) the weight of the person on earth. Convert the following: (a) 400 lb ft to kN • m; (b) 6 m/s to mi/h;(c) 20 lb/in.2 to kPa; and (d) 500 slug/in. to kg/m. The kinetic energy of a car of mass, m moving with velocity v is E = mv2/2. If m = 1000 kg and v = 6 m/s, compute E in (a) kN · m; and (b) lb ft. A differential equation is d^2/dt^2=Ay^2=byt where y represents a distance and 1 is time. Determine the dimensions of constants A and B for which the equation will be dimensionally homogeneous. Calculate the gravitational force between the earth and the moon in newtons. The distance between the earth and the moon is 384 x 103 Note: mass of earth = 5.9742 X 1024 kg, radius of earth = 6378 km, mass of moon = 0.073 483 x 1024 kg, radius of moon = 1737 km.arrow_forwardUnits and dimensions (Activity 1) 1. A person weighs 150N on the moon, where g=1.64m/ s2. Determine (a) the mass of the person and (b) the weight of the person on earth. 2. Convert the following: (a) 40,000 N-cm to kN-m (b) 6 m/s to mm/hr (c) 1 bar (105 Pa) to kPa and (d) 500 g/mm to kg/m. 3. The mass moment of inertia of a certain body is | = 1035285.8 g-mm2. Express I in kg-m2 up to 4 significant digits.arrow_forwardA particle of mass 0.01 kg is traveling at a speed of 15.5 m.s¹ at an angle of 1.8 radians from the i vector (toward j). A force of 0.02e-0.02t N is applied to the particle at an angle of 3.4 radians from i. Answer all questions to at least 3 significant figures. Enter your numerical answers in SI units but do not enter the units. Determine the j component of the initial velocity [m.s¹] Determine the force in the i direction at t=3.8s [N] What is the i component of velocity at t-3.8s? [m.s¹]arrow_forward
- RAIL LINES CROSS COUNTRY MOVERS OO 00 theta A 13,129-lb truck enters an emergency exit ramp at a speed of 112.4 ft/s. It travels for 7.9 s before its speed is reduced to 24.5 ft/s. Determine the braking force by the truck if the acceleration is constant. (Use Impulse-Momentum concepts.) Assume theta = 21.4 degrees Calculate your answer to two decimal places. Report your answer in pounds of force (lbf).arrow_forwardAs shown in the figure below, two objects are moving towards each other with velocities given by the vectors V1 and V2 on a frictionless surface. They collide perfectly inelastically and then move together as indicated by the vector V3. If the masses m1 = 1.8 m2 what is the magnitude of Va in m/s ? Provide your answer with 2 decimal places. e1 = 30.5 degree e2 = 19.2 degree V3 - 8.8 m/s m2 m1 V V2 01 02arrow_forwardA ball is shot vertically into the air at a velocity of 57 m/s. After 6 seconds, another ball is shot vertically into the air. If the balls meet 125 m from the ground, determine the relative position (in m)of the first ball to the second ball 9 seconds after the first ball was shot into the air. Use 9.81 m/s² for the acceleration due to gravity. Round off your final answer to five decimal places. Add your answerarrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L