What is the direction of the net force, expressed as an angle in degrees measured clockwise relative to the positive x axis? Two small forces are exerted on a small 186kg asteroid by a pair of space tractors. F⃗ 1F⃗ 2==(−3.13N)î +(−4.72N)ĵ (10.58N)î +(−4.04N)ĵ

An applied force of 42.3 N directed at an angle of -17.7 degrees with respect to the +x direction acts on a 2.95 kg mass that is initially at rest while on a horizontal surface. In moving a distance of 2.67 m in the +x direction, the object changes its kinetic energy by 31.5 J. What is the coefficient of kinetic friction

Two constant forces act on an object of mass m = 4.30 kg object moving in the xy plane as shown in the figure below. Force F, is 26.5 N at 35.0°, and force F, is 48.0 N at 150°. At time t = 0, the object is at the origin and has velocity (3.50î + 2.15j) m/s. 150° 35.0° (a) Express the two forces in unit-vector notation. F, - N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. (f) Find its kinetic energy from V½mv2. kJ (g) Find its kinetic energy from 2mv,2 + EF · AF. kJ

Two constant forces F1 = 8.5 "i +5.6 *j +8.4^kN and F2 = 1.7^i -3.5 ^j -4.7^k N act together on an object causes a displacement from position r1 = 3.3^i + 5.4 ^j+ 3.5^ k cm to position r2= 8.3^i + 1.3 ^j + 1.3^ k cm. Determine the total work done (J) on the object. Answer:

A force in the +x-direction with magnitude F(x) = 18.0 N - (0.530 N/m)x is applied to a 8.30 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box.

F = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781j

Three electrons are located at the vertices of an equilateral triangle with side lengths of d. The electrons at the base of the triangle are stuck in place but the electron at the top is free to move. The mass of an electron is 9.109 *10-31 kg. a) Find the distance d such that the electron located at the top or apex of the triangle is balanced by the repulsive forces of the electrons below it and the gravitational force pulling it down.

A variable force F(x)=Ax2-Bx acts on an object. The units of F(x) are N and the values of A and B are A=6.09 and B=3.18 when x is in meters. The units of A and B are?

A hydrogen molecule consists of two hydrogen atoms whose nuclei are single protons. Find the magnitude of the repulsive force between the two protons in a hydrogen molecule whose distance apart is 7.50x10-11 m. (You may enter your result using scientific notation.)

Consider the force shown in the figure below. If the y-component of the force is Fy = 16.0 N and the angle is θ = 22.0 ◦ , then the x-component and magnitude of the force are A. Fx = 0 and |F~ | = 16.0 N B. Fx = −16.0 N and |F~ | = 22.6 N C. Fx = −39.6 N and |F~ | = 42.7 N D. Fx = −6.46 N and |F~ | = 17.3 N