A particle, which remains at rest, is acted on by three forces F, G and H.  The force F has magnitude 16N and is directed to the right and down, making an angle of 50 degrees with the horizontal. The force G has magnitude 7N and is directed to the left and down, making an angle of 50 degrees with the horizontal. Find the magnitude of the vector H, and the acute angle it makes with the horizontal. Give the magnitude to one decimal place and the angle to the nearest degree. What is the magnitude of H and what is the acute angle H makes with the horizon?

Q: force vector has components given by Fx = −7.20 N and Fy = 4.95 N. Find the following. (a) the…

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Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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Q: A force vector has a horizontal component of 35 kN and a vertical component of 40kN. Express this…

A: Solution Given that Fx = 35 kN Fy = 40 kN

Q: If F1 has a magnitude of 5 N at an angle of 60 degrees. F2 has a magnitude of 12 N at an angle of…

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Q: Two electric force vectors act on a particle. Their x-components are 14.5 N and −7.35 N and their…

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Q: A vector, V, has a magnitude of 3.60m and points at an angle of 27.0° to the left of the y- axis.…

A: Given:           magnitude of vector v= 3.6m            angle ,                       θ=270

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: The vector A⃗ has a magnitude of 6.0 m and makes an angle of 60 degrees above the positive x-axis.…

A: Given,

Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: Three forces act on a point. The forces are represented by colored arrows.  The orange force is 10 N…

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Q: A force F₁ of magnitude 6.10 units acts on an object at the origin in a direction = 54.0° above the…

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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: The magnitude of a force vector F is 87.5 newtons (N). The x component of this vector is directed…

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Q: A solar sailplane is going from Earth to Mars. Its sail is oriented to give a solar radiation force…

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Q: Find a vector v (in component form) so that the magnitude of v = 392 and when drawn in standard…

A: The objective of the question is to find the vector v in component form given its magnitude and the…

Q: Consider the three displacement vectors A = (41-3ĵ) m, B = (9î - 3ĵ) m, and C = (-61 +5ĵ) m. Use the…

A: a) Calculate the vector D. D→=A→+B→+C→D→=(4i^−3j^) m+(9i^−3j^) m+(−6i^+5j^) mD→=(7i^−1j^) m

Q: The magnitude of a force vector F is 80.6 newtons (N). The x component of this vector is directed…

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Q: As you will see in a later chapter, forces are vector quantities, and the total force on an object…

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Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

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Q: ector A has a magnitude of 12.3 and its direction is 170° counter-clockwise from the +x-axis. hat…

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Q: The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j.…

A: Given: The magnitude of the force is 590 N. The angle made by force F with the x-axis in the clock…

Q: The magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the…

A: According to question we need to find value of A.

Q: Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 23.4…

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Q: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

Q: Two electric force vectors act on a particle. Their x- components are 16.0 N and -7.60 N and their…

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”