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A 25 kg block is pulled with an applied force of 200 N across a horizontal surface. The block experiences a frictional force of 75 N.a. Draw a free-body diagram for the block, including all forces acting on the block.

b. Determine the net force acting on the block.
c. Calculate the acceleration of the block.

User Mats Stijlaart
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2 Answers

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19 votes

Answer:

see attachment for the answer.

Step-by-step explanation:

A 25 kg block is pulled with an applied force of 200 N across a horizontal surface-example-1
User Cezn
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18 votes
18 votes

Final answer:

The forces on the block can be visualized using a free-body diagram, with the net force acting on the block calculated as 125 N to the right. Given this net force, the block has an acceleration of 5 m/s².

Step-by-step explanation:

Given that the block has a mass of 25 kg and is subjected to an applied force of 200 N opposing a frictional force of 75 N, let's address each part of your question seperately:

  1. A free-body diagram would involve three primary forces: The gravitational force acting downwards (Weight = mass * gravity = 25 kg * 9.8 m/s² = 245 N), the normal force acting upwards (equal to the gravitational force as there is no vertical movement), the applied force of 200 N to the right, and the frictional force of 75 N to the left.
  2. The net force acting on the block would be calculated by subtracting the frictional force from the applied force (Net force = Applied force - Frictional force = 200 N - 75 N = 125 N).
  3. The acceleration of the block is obtained by dividing the net force by the mass of the block (Acceleration = Net force / Mass = 125 N / 25 kg = 5 m/s²).

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User Roman Sterlin
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