An 8.5-kg block is pushed along a horizontal rough surface by a 40-N force inclined at 20° with the horizontal. The coefficient of friction between the surface and block is 0.35. If the block has an initial velocity of 3.6 m/s and the force does 200J of work on the block, find: (a) The total distance moved by the block. (Ans: 5.32 m) (b) The final velocity of the block. (Ans: 5.43 m/s)
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
can u also add a free body diagram of the solution?
![2.
An 8.5-kg block is pushed along a horizontal rough surface by a 40-N force inclined at
20° with the horizontal. The coefficient of friction between the surface and block is 0.35.
If the block has an initial velocity of 3.6 m/s and the force does 200J of work on the
block, find:
(a) The total distance moved by the block. (Ans: 5.32 m)
(b) The final velocity of the block. (Ans: 5.43 m/s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9777b32-212d-4eb2-b3ac-b3bbd2fcf1db%2Fbc48e476-261e-4491-9fee-c90e6f919c25%2Ftfpchr5_processed.png&w=3840&q=75)
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