Solving Energy Problems: Q on Acceleration, Distance, Force & Friction

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SUMMARY

The discussion centers on solving physics problems related to a 2 kg car accelerating from rest to 16 m/s using 400 J of work over 10 seconds. Key calculations include the distance moved (80 m), acceleration (1.6 m/s²), and the need to determine the force provided by the motor and the frictional force opposing motion. The work done against friction is derived from the difference between total work and the work used for acceleration, confirming that frictional work is less than 400 J.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of work-energy principle
  • Familiarity with kinematic equations
  • Ability to perform calculations involving force, distance, and energy
NEXT STEPS
  • Calculate the force provided by the motor using the formula F = W/d
  • Determine the frictional force opposing the car's motion
  • Explore the work-energy principle in more detail
  • Review kinematic equations for uniformly accelerated motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of motion, force, and energy in practical scenarios.

Alain12345
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My teacher assigned a few problems, and I'm having difficulty with one of them. The question is:

In order to accelerate a 2 kg car from rest to a speed of 16 m/s, 400 J of work are done by the motor of the car. The acceleration takes 10s. Calculate:

a) the distance moved by the the car (I got 80 m)
b) its acceleration (1.6 m/s2)
c) the force provided by the motor
d) the frictional force opposing the car's motion
e) the work done to overcome friction
f) the final kinetic energy of the car

I need help especially with c and d. Thanks.
 
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c) W=fd
f=W/d
 
d) find the work that was done on the car to get to 16m/s^2, it should be less than 400J, the difference is the work done by friction. Since the force is constant, just divide that work by the distance to get the force.
 

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