(10 points) The work done by a force is the scalar product of the force and...
Which list contains only scalar quantities? a) mass, speed, force b) power, work, velocity O c) displacement, velocity, acceleration O d) distance, temperature, speed e) distance, work, acceleration O f) power, energy, force g) displacement, velocity, density
Part 2-Real Question-> Answer the followings,.carry 25 points. I. State whether following properties are a vector or a scalar? 5 points Kinetic energy: Potential energy: Work done: Torque: Pressure: Displacement: Velocity: Momentum: Impulse: Force: Distance: Speed: Angular momentum Angular acceleration:
Need help with this question! I need the working out too! Qia) The work done on an object whose displacement vector is s =< 3, -4,0 > by a force f =< 3, -2,1 > is: a. 5+ V14 b. 17 c. None of the above. Qib) The cross product of a =< 1,2,3,4 > and b =< 4, -3, -2,2 > is: d. <4, -6, -6,8 > e. O f. None of the above. QIC) The position vector OP...
Find the scalar product of the vectors in the figure below, where 0 116° and F 31.0 N. A. 132 17.3 cm A force F-(8 i-5 j) N acts on a particle that undergoes a displacement Δ-(2t + j) m (a) Find the work done by the force on the particle B. (b) What is the angle between F and Ar? Two vectors, A and B, have magnitudes of 4.50 units and 8.73 units, respectively. The angle between A and...
Learning Goal: To gain insight into the independence of the scalar triple product from the point on the line chosen as the reference point of the calculation. The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows: The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P...
(1)Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j (2) Let F(x, y, z) = (2exz, 3 sin(xy), x7y2z6). (a) Find the divergence of F. (b)Find the curl of F. -/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
Reter to Problem 4. Find the following a) the scalar product A, b) the magnitude of A, c) the magnitude of Ề, d) the angle between A and 5. e) the scalar productでD ICI g) 31 h) the angle between andT 6. Given the vectors: a-介-31 + k, b -- 1 + j Find the following a) A vector such that a bo, b) A vector a such that 2 a 3. d o, c) the magnitude of , e)...
Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path F(x,y) = (ex – 4y)i + (ey + 7x)j C: r = 2 cos(0) -11 POINTS LARCALC11 15.4.028.MI. MY NOTES ASK YOUR TEACHER Use Green's Theorem to calculate the work done by the force F on a particle that is moving counterclockwise around the closed path F(x, y) = (5x2 + y)i + 3xy?j C: boundary of...
please provide explanations. (a) (7 points) Use the Green's Theorem to evaluate the line integral y dr+ry dy, where 2 C is the positively oriented triangle with vertices (0,0), (2,0) and (2,6) (b) (7 points) Let F(x, y) = (2xsin(y) + y2) i(x2 cos(y) +2ry)j. Find the scalar function f such that Vf F. equation of the tangent plane to the surface r(u, v) (u+v)i+3u2j+ (c) (7 points) Find an (u- v) k at the point (ro, yo, 20) (2,...
9. The work done by the force F(x, y) (2at +e) i (4y in moving a particle -re from (0,0) to (1,1) along the curve y =x4 needs to be calculated. a. Show that F is a conservative vector field. b. Describe three different ways to calculate the work. Answer: 3 +1/e c. Calculate the work by a method of your choice.. a. Show that F=(y+yz) i + (x + 32 + xz) j +(9yz2 + y 1) k is...