A block of mass  m = 2.50 kg  is pushed  d = 2.00 m  along a frictionless horizontal table by a constant applied force of magnitude  F = 17.0 N  directed at an angle  θ = 25.0°  below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle θ above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done by the applied force.  J (b) Determine the work done by the normal force exerted by the table.  J (c) Determine the work done by the force of gravity.  J (d) Determine the work done by the net force on the block.

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: The figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces…

A: For the lemon half  to be at stationary , the net force on it should be zero.

Q: Two forces act on an object. The first force has a magnitude of 17.0 N17.0 N and is oriented…

A:

Q: A 60 kg block rests on a rough plane inclined at 30 deg with the horizontal. The coefficient of…

A:

Q: Two forces act an angle of 120 ° . The bigger force is 40 N and the resultant is perpendicular to…

A: The given values with suitable variables are listed below. Here, P denotes the larger force, θ…

Q: The forces F, = (4i - j- 6k)N and F, = (-7i + 2j + 3k)N act through the points with position vectors…

A:

Q: Sample Problem 2/6: Resolve the horizontal 600 tb force in Fig. below into components acting alone…

A:

Q: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace…

A:

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

A:

Q: Particle A lies on the x-y plane and is acted on by the three forces shown. Find the resultant of…

A:

Q: As shown in the figure, three force vectors act on an object. The magnitudes of the forces as shown…

A: In this problem, consider the x-components of all forces and y-components of all forces and then…

Q: FA= 3 kN y 30% FB 20°

A: To determine Magnitude of force FB and θ

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: Given are 4 points in space: (x,y,z) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force…

A:

Q: Two ropes are attached to a tree, and forces of F, = 2.0i + 4.0j and F2= 3.0i + 6.0j are applied.…

A: Given data:  F1 = 2.0i + 4.0j F2 = 3.0i + 6.0j

Q: Find the angle (direction) of the resultant of these given vectors: a: 3i +6j b: 7i-3j

A: Given that,a=3i + 6jb= 7i - 3jcosθ=a.bab

Q: Three forces equal to 3P, 5P and 7P act simultaneously along the three sides AB, BC, and CA of an…

A: Given data: Forces F= 3P, 4P and 5P

Q: Force Vectors Use interior String Number Mass Attached (kg) Force Exerted (N)  Direction (°) 1…

A: given:mass m1=250g = 0.250 Kgmass m2 = 250 g = 0.250 Kgmass m3 =350 g = 0.350 Kg direction: from…

Q: 5 kg block is placed on an inclined plane of angle 30 degrees and pushed up the plane with a…

A:

Q: A force acts at the origin of a coordinate system in a direction defined by the angles θx = 69.3°…

A: Given: The angle from the x-direction is 69.3°. The angle from the z-direction is 57.9°. The…

Q: A block of mass M is being pulled by a rope under tension that is angled 0 degrees above the…

A:

Q: A sledge is being pulled by two horses on a flat terrain. The netforce on the sledge can be…

A: Given data:  Force F = (-2980.0 i + 8200.0 j) N Here, i denotes east direction and j denotes north…

Q: There are two forces on the 2 kg box in the overhead view of the figure, but only one is shown. For…

A: Given, Mass of the box, m=2 kg Force 1, F1=20 N Acceleration of the box, a=12 m/s2 The angle between…

Q: A particle, which remains at rest, is acted on by three forces R, S and T. The force R has magnitude…

A: Given: Force R magnitude, R=32 N Angle made by T force with horizontal, θ=42° Angle made by S force…

Q: Determine the unit vector in the direction of the force F k) Jse three significant figures for your…

A: given:

Q: The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position…

A: Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: Four forces (1, 2, 3, and 4) are in the x-y plane and act on an irregularly shaped object, as shown.…

A: All the given magnitudes, the distances of their point of application (from the origin) and the…

Q: e) find the magnitude and direction of the vector product Ä x B. Ã (3.60 m) 70.0° 30.0° 10 B (2.4 m)

A: The vectors are A→=3.6 mB→=2.4 m The angles are θA=70°θB=180+30=210°

Q: Express the force F as a vector in terms of the unit vectors i, j, and k. Determine the angles 0x,…

A: Write the position vectors of points A and B. Determine the unit vector along AB.

Q: In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N…

A:

Q: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace…

A:

Q: 8. (: nd the magnitude of the resultant force (the sum of the two vectors) and the angle it makes…

A: Analyze the FBD of the system.

Q: Using the same force table that you used, a student was given two forces and asked to find a single…

A: (a)The force made with the x axis is,Substitute the values.

Q: Given are 4 points in space: (x,y,z) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force…

A: Given: forces F=40KN G=50 KN A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4)

Q: A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough…

A: Given that - mass of the crate velocity length coefficient of the kinetic friction  constant…

Q: What equations would you use to fine the tension in the ropes given the weight of the masses? 5.0 cm…

A: This weight is in equilibrium so net force in x and y direction is zero so option A is correct

Q: Q 5)A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal…

A: Given a force vector F=3i + 3j N is applied on 5 kg mass of body on non frictionless horizontal…

Q: Find the angles that vector D⃗ =(2.0iˆ−4.0jˆ+kˆ)mD→=(2.0i^−4.0j^+k^)m makes with the x-, y-, and z-…

A:

Q: Four parallel forces of magnitudes 100 N, 150 N, 25 N and 200 N are shown in Fig. (1) Determine the…

A: There are four forces forces out of which two forces A and D are in same direction(let say upward)…

Q: A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface.…

A: Given, F=3 i^+3 j^ N m=5 kg v=t+2 1 The frictional force, fs=μsFN=1.7 N Therefore, the frictional…

Q: Two forces have the same magnitude F. What is the angle between the two vectors if their sum has a…

A: Resultant of two vectors R = (A2 + B2 + 2AB Cosθ )1/2

Q: A mass in translational equilibrium experiences 3 forces. Select the case that most fully and…

A: Required : The correct statement.

Q: block is pulled along a rough level surface at constant speed by the force P to the right . FN, the…

A: Here we have to balance all the forces because block is moving with constant speed so net force on…

Q: given two vectors A= -3.00i + 7.00 j and B= 8.00i + 2.00 j. Let counterclockwise angles be positive.…

A: For any vector in a cartesian plane given as A→=Axi^+Ayj^, such that both the components of vector…

Q: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k

Q: Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N…

A:

Q: Write the force F as a vector, in terms of the variables given in the problem statement. Include the…

A: Given, F = 87 N θ = 19o x component of Force  ,Fx = Fcos(θ)  = 87N×cos(19o) =82.26 N y component of…

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.