Solutions to Monday Homework:For each force diagram, determine the net or resultant force (∑F), the mass and the acceleration of the object. Identifythe direction (the second blank) of the two vector quantities. NOTE: Fgravstands for the weight of the object.NOTE:In each problem below, the net force (∑F) is determined by adding up all the individual force valuesas vectors; theirdirection must be considered when adding them. The mass is the down force (Fgrav) divided by 9.8 N/kg; the reported mass valuesare rounded at the second digit. The acceleration is determined by dividing the net force (∑F) by the mass (unrounded value);reported values are rounded at the second digit.a.∑F =600 N,downm =61 kga =9.8 m/s2,downb.∑F =200 N,downm =61 kga =3.3 m/s2,downc.∑F =2000 N,leftm =820 kg (816 kg)a =2.5 m/s2,leftd.∑F =4000 N,leftm =820 kg (816 kg)a =4.9 m/s2,lefte.∑F =8 N,rightm =2.0 kg (2.04 kg)a =3.9 m/s2,rightf.∑F =16 N,rightm =4.1 kg (4.08 kg)a =3.9 m/s2,right
A vector quantity has both magnitude and direction.
Problems involving velocities, displacements, forces and navigation are often made easier when vectors are used.
The topics covered in these introductory lessons on vectors are:
Vectors and Parametric Equations Videos
The following is a vector calculator that will help you to find the length of vectors, add vectors, subtract vectors, multiply vectors, calculate cross product and dot product of vectors.
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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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