Chapter 7 review

    Standardized test practice
    1. How many rad/s are equivalent to an angular velocity of 490°/min?
      1. 0.23 rad/s
      2. 0.05 rad/s
      3. 0.14 rad/s
      4. 0.19 rad/s

    2. Tomás faces due north. He then turns counterclockwise until he is facing due east. How many radians did he turn?
      1. 1⁄2 π rad
      2. 6.28 rad
      3. 3⁄2 π rad
      4. 0.75 rad

    3. What is the linear velocity of a rolling wheel with a diameter of 4 m, rotating at 2π rad/s?
      1. 6.3 m/s
      2. 12.6 m/s
      3. 25.1 m/s
      4. 4.0 m/s

    4. A rolling ball is rotating at 5 rad/s. If the ball has a radius of 0.5 m, how far does it travel in 3 s?
      1. 30 m
      2. 0.83 m
      3. 7.5 m
      4. 45 m

    5. A wheel on a watermill turns halfway every 5 s. What is the wheel’s angular velocity?
      1. 5π rad/s
      2. π/5 rad/s
      3. 2.5 rad/s
      4. 25 rad/s

    6. Assume 1,200 N is the maximum friction force between the tires and the ground for an 1,100 kg car. Without skidding, how fast can the car go around a curve with a radius of 200 m?
      1. 25 m/s
      2. 20 m/s
      3. 15 m/s
      4. 10 m/s

    7. Say you and your friend each have a mass of 80 kg. You are floating motionless in space, 1.5 m apart from each other. How much gravitational force is there between you?
      1. 2.9×10−6 N
      2. 1.9×10−7 N
      3. 2.4×10−9 N
      4. 3.6×10−9 N

    1. What is the gravitational force between the proton in a hydrogen atom (mass of 1.7×10−27 kg) and the electron in a hydrogen atom (mass of 9.1×10−31 kg)? Assume they are 2.5×10−11 m apart.
      1. 1.6×10−46 N
      2. 3.5×10−46 N
      3. 6.4×10−46 N
      4. 8.9×10−46 N

    2. How many degrees are equal to 8 radians.
      1. 386°
      2. 424°
      3. 342°
      4. 458°

    3. What is your centripetal acceleration when you run at 11 m/s around the curve of an Olympic track, which has a radius of 36.5 m?
      1. 0.30 m/s2
      2. 1.2 m/s2
      3. 3.3 m/s2
      4. 2.4 m/s2

    4. At what speed would a 1 kg satellite orbit if it were 1,400 km above the Earth’s surface? (Earth has a mass of 6.0×1024 kg and a radius of 6,400 km.)
      1. 7,200 m/s
      2. 230,000 m/s
      3. 130,000 m/s
      4. 68,000 m/s

    5. Which of the following best explains why Mars takes longer than Earth to orbit the Sun.
      1. Mars has farther to go (its orbit is larger).
      2. Mars orbits more slowly (its speed is lower).
      3. Both A and B
      4. Neither A nor B

      6. A planet's elliptical orbit
    6. One planet’s elliptical orbit is shown here, along with a statement of Kepler’s second law. The time taken to go from 1 to 2 equals the time to go from 3 to 4. Which of the following best completes the following sentence?
      The planet is closer to the Sun in _______ and moves faster in _______.
      1. Stage I, Stage I
      2. Stage I, Stage II
      3. Stage II, Stage II
      4. Stage II, Stage I

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