John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 8 = 15.5° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 382 N is exerted at the center of the wheel, which has a radius of 15.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) (a) What force (in N) must John apply along the handles to just start the wheel over the brick? N (b) What is the force (magnitude in kN and direction in degrees clockwise from the -x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude kN direction clockwise from the -x-axis

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John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of \( \theta = 15.5^\circ \) with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 382 N is exerted at the center of the wheel, which has a radius of 15.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.)

(a) What force (in N) must John apply along the handles to just start the wheel over the brick?

\[ \boxed{\phantom{000}} \, \mathrm{N} \]

(b) What is the force (magnitude in kN and direction in degrees clockwise from the \(-x\)-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick?

Magnitude:

\[ \boxed{\phantom{000}} \, \mathrm{kN} \]

Direction:

\[ \boxed{\phantom{000}} \, ^\circ \text{ clockwise from the } -x\text{-axis}\]

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Diagram Description:

The diagram shows John pushing a wheelbarrow with his daughter Rachel sitting inside. The wheel of the wheelbarrow is blocked by a brick. The angle \( \theta = 15.5^\circ \) is shown between the handles and the ground. The force direction, height of the brick, and radius of the wheel are marked.
Transcribed Image Text:John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of \( \theta = 15.5^\circ \) with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 382 N is exerted at the center of the wheel, which has a radius of 15.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) (a) What force (in N) must John apply along the handles to just start the wheel over the brick? \[ \boxed{\phantom{000}} \, \mathrm{N} \] (b) What is the force (magnitude in kN and direction in degrees clockwise from the \(-x\)-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? Magnitude: \[ \boxed{\phantom{000}} \, \mathrm{kN} \] Direction: \[ \boxed{\phantom{000}} \, ^\circ \text{ clockwise from the } -x\text{-axis}\] --- Diagram Description: The diagram shows John pushing a wheelbarrow with his daughter Rachel sitting inside. The wheel of the wheelbarrow is blocked by a brick. The angle \( \theta = 15.5^\circ \) is shown between the handles and the ground. The force direction, height of the brick, and radius of the wheel are marked.
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