Make use of Table 1.4 to express the following quantities in BG units: (a) 4.90 km, (b) 7.19 N/m3, (c) 0.530 kg/m3, (d) 0.00100 N⋅m/s, (e) 7.38 mm/hr. (a) ft (b) lb/ft3 (c) slugs/ft3 (d) ft∗lb/s (e) ft/s TABLE 1.4 Conversion Factors from SI Units to BG and EE Unitsa
A small space probe of mass 200 kg is launched from a spacecraft near Mars. It travels toward the surface of Mars, where it will eventually land. At a time 22.4 seconds after it is launched, the probe is at location < 4400, 8200, 0 > m, and at this same instant its momentum is < 48000, −8500, 0 > kg⋅m/s. At this instant, the net force on the probe due to the gravitational pull of Mars plus the air resistance acting on the probe is < −4350, −730, 0 > N. Part 1 (a) Assuming that the net force on the probe is approximately constant during this time interval, what is the change of the momentum of the probe in the time interval from 22.4 seconds after the probe is launched to 22.8 seconds after the launch? Δp→ = < > kg⋅m/s Save for Later Attempts: 0 of 10 used Submit Answer Part 2 (b) What is the momentum of the probe at time 22.8 seconds after launch? i i kg⋅m/s Save for Later Attempts: 0 of 10 used Submit Answer Part 3 (c) Assuming that the force is nearly constant during the time interval from 22.4 seconds after the probe is launched to 22.8 seconds after the launch, so that the velocity is changing at a constant rate, what is the change of the position of the probe during this time interval? Divide the time interval into two equal parts and use the approximation v→avg ≈ p→f/m. Δr→ = < > m Save for Later Attempts: 0 of 10 used Submit Answer Part 4 (d) What is the location of the probe 22.8 seconds after launch? r→f = < iii > m eTextbook and Media Save for Later Attempts: 0 of 10 used Submit Answer
A system having a mass of 1500 lb undergoes a process in which its elevation relative to Earth's surface increases by 500 ft. If the local -acceleration of gravity at its final state is g = 30.0 ft/s2, the weight of the systems at that state is Ibf.
A test car starts from rest on a horizontal circular track of 73 m radius and increases its speed at a uniform rate to reach 100 km/h in 10 seconds. Determine the magnitude a of the total acceleration of the car 8 seconds after the start. Give your answer in m/s2.
One cubic centimeter of a typical cumulus cloud contains 390 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.1 km and radius 1.0 km? (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have? (a) Number Units (b) Number Units (c) Number Units
Field and force with three charges At a particular moment, one negative and two positive charges are located as shown in the figure. Your answers to each part of this problem should be vectors. It helps a great deal to make a diagram with arrows representing the various electric field contributions, and then check the signs of your components against these arrows. Let Q1 = 2 μC, Q2 = 8 μC, and Q3 = −5 μC. (a) Find the electric field at the location of Q1, due to Q2 and Q3. E→ = < > N/C Save for Later Attempts: 4 of 10 used Submit Answer Part 2 (b) Use the electric field you calculated in part (a) to find the force on Q1. F→ = < > N Save for Later Attempts: 0 of 10 used Submit Answer Part 3 (c) Find the electric field at location A, due to all three charges. E→ = < > N/C Save for Later Attempts: 0 of 10 used Submit Answer Part 4 (d) An alpha particle (He2+, containing two protons and two neutrons) is released from rest at location A. Use your answer from part (c) to determine the initial acceleration of the alpha particle. (Use 6.646×10−27 kg for the mass of He2+.) < > m/s2 Save for Later Attempts: 0 of 10 used Submit Answer
There are 3 wires perpendicular to the page at three corners of a square with side length a = 3.3 cm as arranged above. Wire A has a current IA = 27 A going into the page. Wire B has a current IB = 92 A going out of the page. Wire C has a current IC = 28 A going out of the page. What is the magnitude of magnetic field in units of 10−4 T?
In the figure three charged particles lie on an x axis. Particles 1 and 2 are fixed in place. Particle 3 is free to move, but the net electrostatic force on it from particles 1 and 2 happens to be zero. If L23 = L12. what is the ratio q1/q2? Number Units
The drawing shows four point charges. The value of q is 2.9 μC, and the distance d is 0.80 m. Find the total potential at the location P. Assume that the potential of a point charge is zero at infinity. Number Units
A 6.0⋅kg object initially at rest at the origin is subjected to the time-varying force shown in the figure, with the vertical axis in 5⋅N increments. What is the object's velocity at t = 6⋅s? m/s
Two point charges are lying on the y-axis as in the figure: q1 = −4.50 μC and q2 = +4.50 μC. They are equidistant from the point P, which lies on the x - axis. (a) What is the magnitude of net electric field at P? (b) A small object of charge q0 = 7.80 μC and mass m = 1.17 g is placed at P. When it is released, what is the magnitude of its acceleration?
Two charges are located on the x axis: q1 = +7.1 μC at x1 = +4.7 cm, and q2 = +7.1 μC at x2 = −4.7 cm. Two other charges are located on the y axis: q3 = +2.4 μC at y3 = +4.4 cm, and q4 = −7.7 μC at y4 = +7.0 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. (a) Number Units (b) The net electric field points
A point charge +2Q is at the origin and a point charge −Q is located along the x axis at x = d as in the figure below. Find a symbolic expression for the net force on a third point charge +Q located along the y axis at y = d. (Use the following as necessary: ke, the Coulomb constant, Q, and d.) F→net =
Two point charges are fixed on the y axis: a negative point charge q1 = −29 μC at y1 = +0.19 m and a positive point charge q2 at y2 = +0.31 m. A third point charge q = +9.5 μC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 23 N and points in the +y direction. Determine the magnitude of q2. Number Units
As pictured below, insulating spherical shell with surface charge σs = 5.8 μC/m2 and radius R = 27.3 cm intersects an infinite plane with surface charge density σp = 5.2 nC/m2. If the center of the sphere is located 15.2 cm above the place, what is the magnitude of the electric field at the center of the sphere in NC? (Use the principle that E-fields add together) Type your answer...