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Calculate the force that produced this acceleration. 2. Calculate the force required to stop the car.

Physics

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1. Calculate the force that produced this acceleration.

  1. Convert the mass from tons to kilograms.

    m=2.3 tons×1000kgton=2300 kgm = 2.3 \text{ tons} \times 1000 \frac{\text{kg}}{\text{ton}} = 2300 \text{ kg}
  2. Use Newton's second law of motion to calculate the force.

    F=maF = ma F=(2300 kg)×(5ms2)F = (2300 \text{ kg}) \times (5 \frac{\text{m}}{\text{s}^2}) F=11500 NF = 11500 \text{ N}

    The force produced is 11500 N\boxed{\text{11500 N}}.

    2. Calculate the force required to stop the car.

  3. Calculate the acceleration (deceleration) of the car.

    The car stops, so the final velocity v=0msv = 0 \frac{\text{m}}{\text{s}}.

    v=u+atv = u + at 0ms=25ms+a(2 s)0 \frac{\text{m}}{\text{s}} = 25 \frac{\text{m}}{\text{s}} + a(2 \text{ s}) −25ms=a(2 s)-25 \frac{\text{m}}{\text{s}} = a(2 \text{ s}) a=−25ms2 sa = \frac{-25 \frac{\text{m}}{\text{s}}}{2 \text{ s}} a=−12.5ms2a = -12.5 \frac{\text{m}}{\text{s}^2}
  4. Use Newton's second law of motion to calculate the force.

    F=maF = ma F=(2000 kg)×(−12.5ms2)F = (2000 \text{ kg}) \times (-12.5 \frac{\text{m}}{\text{s}^2}) F=−25000 NF = -25000 \text{ N}

    The negative sign indicates that the force is in the opposite direction of the car's motion, which is expected for a braking force. The magnitude of the force required is 25000 N\boxed{\text{25000 N}}.

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