What is the magnitude of the force F1 acting on the block?
Understand the Problem
The question is asking for the magnitude of the force F1 acting on a block that is moving at a constant speed of 2 m/s. Given that the block has a mass of 8 kg and there is another force of 10 N acting on it, we will analyze the forces to find the value of F1.
Answer
The magnitude of the force $F_1$ is $10\,\text{N}$.
Answer for screen readers
The magnitude of the force $F_1$ acting on the block is $10,\text{N}$.
Steps to Solve
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Identify Newton's First Law
According to Newton's First Law, an object will remain at rest or in uniform motion unless acted upon by a net external force. Since the block moves at a constant speed of 2 m/s, the net force acting on it must be zero. -
Set Up the Equation
We have two forces acting on the block: the force $F_1$ and the known force of 10 N. Since they are acting in opposite directions, we can express this relationship as: $$ F_1 - 10,\text{N} = 0 $$ -
Solve for $F_1$
Rearranging the equation to solve for $F_1$ gives us: $$ F_1 = 10,\text{N} $$
The magnitude of the force $F_1$ acting on the block is $10,\text{N}$.
More Information
Since the block is moving at a constant speed, the force $F_1$ must exactly balance the force of 10 N. This is a classic application of Newton's laws of motion.
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