SUBMATH: Mechanics Resultant and Components of Forces Assignment

  1. John and Rob are engaged in a tug of war. John is pulling with a force of 230 N, and Rob is pulling with a force of 215 N. Determine the magnitude and direction of the resultant force.
  2. A car of 1400 kg is subject to multiple forces which produce an acceleration of 3.5 m/s2 directed north. Find the net force.
  3. A block is pulled by two forces of 15 N and 25 N to the left, and by three forces of 10 N20 N30 N to the right. Find the magnitude and direction of the resultant force.
  4. An apple is subject to two vertical forces: one of 40 N pulling upward, and the other of 10 N pulling downward. What is the net force acting on the apple?
  5. A box of 1.0 kg is in free fall (i.e. moving subject only to the force of gravity). Calculate the net force.
  6. A tugboat is horizontally pulled by two forces of 1450 N, each making an angle of 20° with the long axis of the tugboat, as shown in the figure (the view is from the above):
SUBMATH: Mechanics Resultant and Components of Forces Assignment 1

Assuming there is no friction, what is the magnitude and direction of the resultant force acting on the tugboat?

7. A ball is subject to two forces F1 and F2. The magnitudes of the two forces are 45.0 N and 70.0 N respectively. In the figure below you can see the free-body diagram of the ball:

Find the magnitude and direction of the resultant force acting on the ball

8. An empty box is pulled by two men with horizontal forces, as shown below (the view is from the above):

Assuming that F1 is 345 N and F2 is 458 N, and there is no other horizontal force acting on the box, find the magnitude and direction of the resultant force.

Mugisa Geofrey and Ashaba Fredrick

Mugisa Geofrey Zziwa is a learning facilitator with Ultimate MultiMedia Consult. With knowledge of the following topics:  Digital Pedagogy training or digital teaching skills, how to integrate ICT in teaching.  Journalism and the Internet/Computers (How internet helps journalism)  Basic web design & CMS and Multimedia Content publishing  Digital security and safety basics for journalists  Best practices for ensuring safety online  Data Mashups  Collaborative digital content development tools  Live streaming and Live reporting  Immersive Storytelling tools and practices  Among others I have conducted a number of trainings which include: • Multimedia Journalism and Digital Safety training for university Students held in Makerere University, Kampala International University and Cavendish University and sponsored by the American Embassy Uganda. • Digital Pedagogy training for Science Technology Engineering and Mathematics (STEM) Teachers held in Iganga Girls SSS in Iganga District for Eastern region Uganda, St. Maria Gorretti in MPigi District for Central region Uganda, and Teso College ALOET for the Karamoja region Uganda. Sponsored by Forum for African Women Educationalists Uganda (FAWEU) Training Teachers on integration of ICT in teaching and delivering lessons to students. • Digital Pedagogy at American Center for Teachers by Teachers In Need (TIN) Uganda. • Facilitator on Digital Pedagogy with ICT Teachers Association Uganda (ITAU) at American Center, Kyebambe Girls SSS in FortPortal for western region Uganda, Dr. Obote College Boro Boro Lira for Nothern Region Uganda.

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