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determine in the following scenarios if the net force is zero or not. e…

Question

determine in the following scenarios if the net force is zero or not.

et force is zero\ = no force applied

et force not zero\ = there is a force applied
a person pushes against a large rock and the rock doesnt move.
jim put on his brakes while he was riding his bicycle.
a truck speeds up from 0 miles/hour to 40 miles/hour.
a bird was flying in the direction of north, when a wind suddenly changed its direction to
a car travels at a constant speed

Explanation:

Brief Explanations
  1. A person pushes against a large rock and the rock doesn't move: When the rock doesn't move, the applied force (push) is balanced by the static friction force. So net force is zero (since there's no acceleration, \( F_{net} = ma = m \times 0 = 0 \)).
  2. Jim put on his brakes while he was riding his bicycle: Braking causes a frictional force that slows the bicycle, changing its velocity (deceleration). So there's a net force (not zero) because acceleration (deceleration) exists.
  3. A truck speeds up from 0 miles/hour to 40 miles/hour: Speeding up means acceleration (\( a = \frac{\Delta v}{\Delta t} > 0 \)). By Newton’s second law, \( F_{net} = ma \), so net force is not zero (since \( a

eq 0 \)).

  1. A bird was flying north, wind changed its direction to northeast: A change in direction means a change in velocity (vector), so acceleration exists. Thus, net force is not zero (since \( F_{net} = ma \) and \( a

eq 0 \)).

  1. A car travels at a constant speed: If speed and direction are constant, velocity is constant (\( \Delta v = 0 \)), so acceleration \( a = 0 \). Thus, \( F_{net} = ma = 0 \) (net force is zero, assuming no direction change; if direction is constant, constant speed implies zero net force).

Answer:

  1. A person pushes against a large rock and the rock doesn’t move: Net Force is Zero
  2. Jim put on his brakes while he was riding his bicycle: Net Force NOT Zero
  3. A truck speeds up from 0 miles/hour to 40 miles/hour: Net Force NOT Zero
  4. A bird was flying north, wind changed its direction to northeast: Net Force NOT Zero
  5. A car travels at a constant speed: Net Force is Zero