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What happens to the distance travelled when the force increases? Predict the distance travelled when a force of 50 N is applied. Explain why increasing the force changes the motion of the trolley.

Physics

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Answer

7.5 m7.5 \text{ m}

Step-by-step solution

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2.1.1
Force is a push or a pull that can cause an object to accelerate, change its direction, or deform.

2.1.2
Two effects that a force can have on an object are:

  • It can change the speed of the object (make it start moving, speed up, or slow down).
  • It can change the direction of motion of the object.

2.2.1
From the graph, as the force applied to the trolley increases, the distance travelled by the trolley also increases.

2.2.2

  1. Observe the pattern in the graph.

    For every 10 N10 \text{ N} increase in force, the distance travelled increases by approximately 1.5 m1.5 \text{ m}.

    • 10 N→1.5 m10 \text{ N} \to 1.5 \text{ m}
    • 20 N→3.0 m20 \text{ N} \to 3.0 \text{ m}
    • 30 N→4.5 m30 \text{ N} \to 4.5 \text{ m}
    • 40 N→6.0 m40 \text{ N} \to 6.0 \text{ m}
  2. Predict the distance for 50 N50 \text{ N}.

    Following the pattern, for a force of 50 N50 \text{ N} (which is 10 N10 \text{ N} more than 40 N40 \text{ N}), the distance travelled will be:

    6.0 m+1.5 m=7.5 m6.0 \text{ m} + 1.5 \text{ m} = \boxed{7.5 \text{ m}}

    2.2.3
    Increasing the force changes the motion of the trolley because, according to Newton's Second Law of Motion (F=maF = ma), a larger net force applied to an object of constant mass results in a greater acceleration. This increased acceleration means the trolley's velocity changes more rapidly, causing it to cover a greater distance in the same amount of time.

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