The force acting on a particle P of mass m in the plane is given as a function of time t by F = cost i + sint j. If the particle starts at (2, 0) with an initial velocity voj, find its position vector at time t.
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- (a) Let u be a differentiable vector function of constant length, then show that u." (b) The force acting on a particle P of mass m in the plane is given as a function of time t by F = cost i du = 0. dt 3. + sint j. If the particle starts at (2, 0) with an initial velocity voj, find its position vector at time t.Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the direction of (b)?Three vectors are given by d = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.0oî + (-1.00)ĵ + (3.00)k, an ở = 0î + (4.00)ĵ +(-4.40)k. Find (a) a : (6 x ở ), (b) a(b + 7 ),(c) x-component, (d) y-component, and (e) z-component of á x( b + ć respectively. (a) Number i Units This answer has no units (b) Number i Units This answer has no units (c) Number i Units This answer has no units (d) Number i Units This answer has no units (e) Number i Units This answer has no units
- The velocity i of a particle moving in the xy plane is given by 7 = ( 5.50 - 5.00 ji + 9.00 3. with V in meters per second and t (> 0) in seconds. At I- 1.40 s and in unit-vector notation, what are (a) the x component and (b) the y component of the Eceleratiun? (c) Whien(if uver) is the acceluration zero? (d) At wlat pusitive time does the speed equal 10.0 mh? (a) Numher 7 Unit (b) Number 1 Unit {c) Number Unit (d) Number UnitGiven that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z Calculate the magnitude of vector TFor any vector quantity, be sure to always include the magnitude and direction ty
- A package of mass 5 kg is released from a channel as shown in the figure, slides down. Package, AB to the curved part (0 = 0°) 8 m/s is moving rapidly. your channel the package assuming it is smooth, (a) its velocity when it reaches the C point (0 = 30°), and (b) when it reaches the horizontal plane (b) (@=45°, B noktası) nset the speed. (c) The normal force acting on the package at C calculate. 450 B 8=30° 20 m C 8 m/s A 45°please answer both Severar vectors in the x-y plane are shown in the tigure with their tails at the origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors i and j as P = (5.80i + 2.10j) and Q = (-1.10i + 4.40j), where the numbers are measured in meters. 4. 2. 1. -1 -2 -4 -5 6-5-4-3-2-1 12 3456 X (m) Identify vectors P and Q in the figure. The label of vector P on the figure is DALIOB: 2. C 3 D: 40E: SO 6 The tabel of vector Q on the figure is OA: 1108: 21 C: 3O0: 40 E: SOF 6 An electric point charge of Q, = 8.37 nC is placed at the origin of the real axis. Another point charge of Q2 = 4.25 nC is placed at a position of p = 3.58 m on the real axis. At which position can a third point charge of q -7.61 nC be placed so that the net electrostatic force on it is zero? (in m) OA: 1.449 OB: 1.637 0C: 1.85 OD: 2.09 OE: 2.362 OF: 2.669 OG: 3.016 OH: 3.408 Submit Answer Tries 0/20 This discussion is closed. Send Feedback ()A space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y components.
- A projectile is fired up an inclined plane (incline angle α) with an initial speed v0 at an angle β with respect to the horizontal (β > α) Let d denote the distance the projectile travels up the incline.a) Express d in terms of α, β, v0 and g.b) For what value of β is d maximal, and what is the maximum value of d?Conservative force O The angle between the two vectors * :A=2i+3j+4k and B=i-3j+3k is 66.6 degree O 77.5 degree O 60.6 degree O 75.6 degree O The motion in two dimensions, are be for displacement and velocity twoFind the magnitude of vector from A(-2,-5) to B(-26,5).