Physics

A 4.0 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 19.6◦ with the horizontal. An average frictional force of 4.0×103 N impedes the car’s motion so that the car’s speed at the bottom of the driveway is 4.9 m/s.
The acceleration of gravity is 9.81 m/s2 . What is the length of the driveway?

  1. 👍 0
  2. 👎 0
  3. 👁 243
  1. Fc = m*g = 4000kg * 9.8N/kg = 39,200 N. = Force of car.

    Fp = 39200*sin19.6 = 13,150 N. = Force
    parallel to the slope.
    Fn = 39200*cos19.6 = 36,929 N. = Normal
    Force = Force perpendicular to the slope

    Fk = 4,000 N. = Force of kinetic friction.

    a=(Fp-Fk)/m
    a = (13150-4000)/4000=2.28m/s^2

    L=(V^2-Vo^2)/2a = (4.9^2-0)/4.56=5.27 m.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 3.6 m/s2 for 4.5 seconds. It then continues at a constant speed for 7.3

  2. physics

    A car, starting from rest, accelerates in the +x direction as in the figure. It has a mass of 1.10 × 103 kg and maintains an acceleration of +4.40 m/s2 for 2.60 s. Assume that a single horizontal force (not shown) accelerates the

  3. physics(Quick!)

    if a car accelerates from rest at a constant 5.5 m/s^2, how long will it take for the car to reach a velocity of 28 m/s

  4. physics

    1)Top-fuel drag racers are able to uniformly accelerate at 12.3 m/s2 from rest to 98 m/s before crossing the finish line. How much time elapses during the run? 2)A racecar accelerates from rest at +7.2 m/s2 for 4.1 seconds. How

  1. physics

    Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 4.6 m/s2 for 4.4 seconds. It then continues at a constant speed for 8.5

  2. physics

    A 2100 car starts from rest at the top of a 5.0m long driveway that is sloped at 20 degrees with the horizontal. If an average friction force of 4000N impedes the motion find the speed of the car at the bottom of the driveway.

  3. Physics

    A car, starting from rest, accelerates in the positive x direction. It has a mass of 1.10 x 103 kg and maintains an acceleration of 4.6 m/s^2 for 5 s. Assume that a single horizontal force accelerates the vehicle. Determine the

  4. Physics

    A car accelerates uniformly from rest to 21.0 m/s in 6.1 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if the weight of the car is the following. A) 8.0e3N B) 1.2e4N

  1. Physics

    1. A car starts from rest and accelerates uniformly at 3.0 m/s2. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s2. How long does it take the second car to overtake the first car? 2.

  2. Physics

    At the moment car A starts from rest and accelerates at 4.0 m/s^2, car B passes it, moving at a constant speed of 28 m/s. how long will it take car A to catch up with car B?

  3. physics

    A car of mass 1200 kg starts from rest, accelerates uniformly to a speed of 4.0 m/s in 2.0 s and continues moving at this constant speed in a horizontal straight line for an additional 10 s. The brakes are then applied and the car

  4. Physics

    A car starts from rest and accelerates unifomly at 3m/s^2. A second car starts from rest 6 seconds later at the same point and accelerates uniformly at 5m/s^2. How long does it take the second car to over take the first car?

You can view more similar questions or ask a new question.