Kinematics
What mathematical theorem is used to find the magnitude of the resultant vector when given its perpendicular components?
A boat sails 8 km east and then 6 km north. What is the magnitude of the boat's resultant displacement?
A vector has a magnitude of 20 units and makes an angle of 30° with the positive x-axis. What is the x-component of the vector?
A force of 50 N is applied to an object at an angle of 45° above the horizontal. If the object moves horizontally, what is the horizontal component of the force that contributes to the work done?
A force vector of 100 N is applied at an angle of 60° to the horizontal. This force causes a box to move horizontally. Calculate the work done by the horizontal component of the force over a distance of 5 meters.
In a right triangle, if the length of the side opposite to angle is 4 and the length of the hypotenuse is 5, which trigonometric function should be used to find the angle ?
A vector has an x-component of 12 units and a y-component of 5 units. What is the angle of the vector with respect to the positive x-axis?
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Vector A has components (3, -4) and Vector B has components (-2, 5). What are the components of the resultant vector C = A + B?
Three forces act on an object: = (10 N, 0°), = (8 N, 60°), and = (5 N, 270°). Find the magnitude of the resultant force.