The angle between two vectors is θ. (a) If θ = 30.0o, which hasthe greater magnitude: the scalar product or the vector product of thetwo vectors?
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The angle between two vectors is θ. (a) If θ = 30.0o, which has
the greater magnitude: the scalar product or the vector product of the
two vectors?
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- A 4 kg crate sitting on a horizontal surface is pushed 30 m by a force of 6N applied at an angle of 27o below the horizontal. How much work is done? If it takes 7.8 seconds to push the crate, how much power was expended?why the a and b in dot product can be cancelled out while the a and b in absolute value do not?A force of 130N is used to drag a crate a distance of d= 11 m across a floor. The force is directed at an angle upward from the crate so that the vertical component of the force is 120 N and the horizontal component is 50 N as shown in the diagram. 120 N! 50 N ces d What is the work done by the vertical component of the force? (You must provide an answer before moving to the next part.) The work done by the vertical component of the force is 1320 J.
- determine the dot product of the vector (A) = 6.0 (i) + 4.0 (j) - 2.0 (k) and the vector (B) = 5.0 (i) - 6.0 (j) -3.0 (k)A horse plows a 150 m-long furrow in 7 min, exerting a force of 750 N. What is its power output, measured in horsepower and then measured in watts?Needs Complete typed solution with 100 % accuracy.
- (b) Summarize the two ways you calculate a scalar product (also called a dot product).(c) Use both methods to calculate ~a ·~b for each of the following cases:(i) if ~a = (−4, −9) and ~b = (−1, 2)(ii) if |~a| = 10, θa = 30◦ and |~b| = 2, θb = 120◦. Note that both angles are definedwith respect to +x-axis.If 6 J of work are needed to stretch a spring from 6 cm to 8 cm and 10 J are needed to stretch it from 8 cm to 10 cm, what is the natural length of the spring? cmAn archer using a simple bow exerts a force of 165 N to draw back the bow string 0.51 m. (Assume the given force is the force exerted at the very end of the pull.) (a) What is the total work (in J) done by the archer in preparing to launch her arrow? (Hint: Compute the total work as: total work = Fanal - Finitia ld.) Ffinal (b) If all the work is converted into the kinetic energy of the arrow upon its release, what is the arrow's speed (in m/s) as it leaves the bow? Assume the mass of the arrow is 0.021 kg and ignore any kinetic energy in the bow as it relaxes to its original shape. m/s (c) If the arrow is shot straight up, what is the maximum height (in m) achieved by the arrow? Ignore any effects due to air resistance in making your assessment. (Assume the arrow is initially 2 m from the ground.)
- One vector has magnitude 18 units and another 5.5 units. Find their scalar product if the angle between them is 25 degrees, and then if the angle between them is 82 degrees.This is on other question I cannot figure out on the quizlet. Thanks for your helpA box is dragged across the floor by a constant force of 50N. If the force makes and angle of 37 degrees with the floor. How much work is is done by moving the box 3 meters?