(b) A boy wishes to walk on ice block at a constant speed. The coefficient of sliding friction for steel on ice is 0.05 and the boy weighs 150 N. Find the force required to keep the boy moving at a constant speed along the ice.
See previous post: Wed, 4-1-15, 6:39 AM.
To find the force required to keep the boy moving at a constant speed along the ice, we can use the equation:
\( \text{Force of friction} = \text{Coefficient of sliding friction} \times \text{Normal force} \)
The normal force on the boy can be calculated using the equation:
\( \text{Normal force} = \text{Weight of the boy} \)
Let's plug in the values given in the problem:
Coefficient of sliding friction (\( \mu \)) = 0.05
Weight of the boy (\( F_{\text{g}} \)) = 150 N
First, let's calculate the normal force:
\( \text{Normal force} = \text{Weight of the boy} = 150 \, \text{N} \)
Next, we can calculate the force of friction:
\( \text{Force of friction} = \text{Coefficient of sliding friction} \times \text{Normal force} \)
\( \text{Force of friction} = 0.05 \times 150 \, \text{N} \)
\( \text{Force of friction} = 7.5 \, \text{N} \)
Therefore, the force required to keep the boy moving at a constant speed along the ice is 7.5 N.