There are two forces on the 2.13 kg box in the overhead view of the figure but only one is shown. For F₁ = 28.9 N, a = 14.0 m/s², and 8 = 30.5°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i (b) Number MI (c) Number i i+ Units Units MI X j Units

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.46 and 3.57 units, respectively,…

A: Two vectors can be multiplied in two ways, as a scalar product and as a vector product. In a scalar…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below 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: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

A:

Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: = Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at…

A:

Q: Create vectors a = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would…

A: a = (20,45°)  b= (10,270°)  c= (8,160°)

Q: Consider the two force vectors D = (2.37 N)i + (-5.01 N)j + (2.89 N)k and F = (3.45 N)i + (2.01 N)j…

A: Given

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: The components of all the vectors are INTEGERS. Consider the two vectors, A and B, in the figure.…

A: Write the vectors A and B in vector form. A=3i+2jB=2i−2j Calculate the vector C.…

Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that:  A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: The magnitude of A is 5.5. Vector A lies in the second quadrant and forms an angle of 34 degrees…

A:

Q: (a) Sketch the two vectors in the xy-plane, and label the angles. (b) Compute A· B . (c) Using the…

A: a) The given vectors are, Analyze the following figure representing the given vector.

Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!