A girl and her friend pull the box across the floor (with no friction).  A girl pulls with 40N of force at a 45° angle above the x axis. Her girl pulls with 30 N of force at a 37° below  the x axis.  What is the resultant net force on  the box? Please draw a diagram too. Use the trigonometric functions (sin, cos, tan) and Pythagorean Theorem methods to solve

Q: Determine the magnitude (lb) of the horizontal reaction at A when α = 45°, a = 12.97 in, b = 13.79…

A:

Q: ; Derive the relationship 효x (@x7) = -요R, where vectors ,7, and Ŕ are sketched below, and 2 = |Ý| is…

A: To derive: The relationship, Ω→×Ω→×r→=-Ω2R→

Q: 2. Using vectors, prove that the line segment joining the midpoints of two sides of a triangle is…

A:

Q: A cannonball is fired with a velocity of 252 kmph at an angle of 60 degrees. The cannonball lands in…

A: Consider the initial velocity of cannonball be u, the angle of projectile be θ, its range be R, the…

Q: An object is pulled 4023 N at 14 from form the +y-axis. Th

A: Given, FA=4023 cos 14=3903.5 NFB=5119 cos 18=4868.4 N

Q: A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the…

A:

Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: 2. Fig. 1 shows the two vectors A and B. (a) Find the magnitudes and directions of the vector…

A:

Q: Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice…

A: (a) Consider the vectors are: Take the dot product of vector A and vector B.

Q: /8 nponent of the vector A - B. /8 itude of the vector A + B.

A: a vector can be written as A̅ =Ax î +Ay ĵ

Q: The vector -5.2A has a magnitude of 48 m and points in the positive x direction. Find the x…

A: The vector has given as -5.2A which has magnitude= 48 mAnd the vector is pointing in the positive x…

Q: Force F has vector components N and line A has vector components m.

A:

Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: A breeder wants to fence off his four-sided plot of flat land, as shown in the figure. He measures…

A:

Q: If the vector Kâ- +Lây+ M â, shows the maximum increase rate and direction of the scalar V at point…

A:

Q: 8. Diogenes on one of his searches for a honest person walks 3.50 km south, then 8.20 km at an angle…

A: Given, A person walks 3.50 km south then 8.20 km at an angle of 30.00  North of east and then 15.0…

Q: Problem 8: When you drive to work on a winding road, the odometer of your car changes from 27123 km…

A:

Q: The path r(t) = (t) + (21²-5) j describes motion on the parabola y = 2x2-5. Find the particle's…

A:

Q: Draw a vector that represents a displacement of 40 miles east. Then, from that point, draw one that…

A: Let us draw the figure:

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A: Magnitude of a vector  is Angle made by given vector with +x-axis is Find:Horizontal and vertical…

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: Find the vector that connects the two opposite corners of a cube whose volume is 8a³. One  corner of…

A: GivenVolume of cube =8a3

Q: A plane leaves Seattle, flies 78.0 mi at 20.0 ∘ north of east, and then changes direction to 55.0 ∘…

A: The diagram showing the motion of the plane is shown below.

Q: A force is represented in space using vector notation as F= 2i+4j-3k (N). What is the angle of…

A: In this given question, For calculating the angle between the Force F and Y-axis. we use the dot…

Q: The magnitude of vector A is 22.5 units and points in the direction 335° counterclockwise from the…

A: Given that the magnitude of the given A vector is 22.5units, and the vector is pointed…

Q: A gardener pushes a lawnmower with a force of 20 N downward and to the right, as shown in the figure…

A: Given: A gardener pushes lawnmower force F =20N The horizontal angle θ =76o

Q: Two force vectors are added together. The vectors are as follows. Vector A is a force of 52 Newton’s…

A: →A = 52(cos62i^ +sin62j^)→A = 24.4i^ + 45.9j^ N→B = 120(cos58i^ +sin58j^)→B = 63.6i^ + 101.77j^ N

Q: 109 B 0 x i

A: Given: Displacement vectors A has magnitude of 3.7 m, making 22 degrees with horizontal.…

Q: Three force vectors are added together.  One has a magnitude of 9 N, the second one a magnitude of…

A: Given, The three forces are  F1 = 9 N F2 = 18 N F1 = 15 N The maximum value of the net force can be…

Q: Part A Given the vectors A⃗ and B⃗ shown in the figure ((Figure 1)), determine the magnitude of…

A: PART Athe expression for the two vectors in componet form is

Q: X Consider a vector E pointed into the second quadrant' of the Cartesian x-y coordinate plane, as…

A: Given that:- E=30units Theta=60° Phai=30°

Q: t Ө N Radar "dish" A radar station detects an airplane approaching directly from the east. At first…

A: Here, we can initialize a coordinate system with +x in eastward direction and +y in upward…

Q: Consider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at…

A:

Q: Problem 1-17 Using the base units of the SI system, show that F = G(m,m¿)/r² is a dimensionally…

A: The equation of F can be given as, Here, m1 denotes the mass of the first object (in kg), m2…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to…

A: The orientation of the for 240 N from the positive x-axis is, The orientation of the for 180 N from…

Q: A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with…

A: Given data: The initial position of the fly is: b ( 4.0 m, 1.5 m, 2.5 m ) The final position of the…

Q: Set 1a lb 1c 1d 41 -23 33 -43 36 -49 -21 30 Magnitude of A Angle of A 0 0 O Angle of -A

A: This problem can be solved using basic vector formulae

Q: y F2 = 50 kN F1 = 25 kN F3 = 30 kN 0.8 m b) (LO2) Find the of force F2. Answer: c) (LO2) Find the…

A:

Q: Express the force of 5kN as a vector in terms of the unit vectors i, j, and k, and also the director…

A:

Q: Problem 1: Equations describing forces and their magnitudes on the figure beneath are the following:…

A: A figure showing 3 forces we need to find out which of the following statements are true

Q: Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Given the vector techniques you worked on in the lab, answer the follow question: suppose you first…

A:

Q: Two forces are shown in the figure. Force A has magnitude 8 units and angle α is 40 degrees. Force B…

A:

Q: you will be given some values for a vector and will need to determine the missing values. Then, you…

A: As per guidelines, only 3 subparts are solved here. Magnitude of A =Ax2+Ay2 Angle of A = tan-1(AyAx)…

Q: 5. C= A × B. (Note that vectors are in boldface.) (a) If A points in the +x direction, and B points…

A:

Q: A force vector points at an angle of 18.1° above the +x axis. It has a y component of +233 newtons…

A: Given: Fy=233N, θ=18.1° Refer to the given figure below :

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.