1. Questions

Physics

Two planes are about to drop an empty fuel tank. At the moment of release each plane has the same speed of 135 m/s, and each tank is at the same height of around 2.00km above the ground. Although the speeds are the same, the velocities are different at the instant of release, because one plane is flying at an angle of 15deg above the horizontal (Plane A) and the other is flying at an angle of 15deg below the horizontal (Plane B). Find the magnitude and the direction of the velocity with which the fuel tank hits the ground if it is from a) Plane A b) Plane B. Give the directional angles with respect to the horizontal.

  1. 👍
  2. 👎
  3. 👁
Anonymous

  1. v(ox) =v(o) •cosα= 135 •cos15 = 130.4 m/s,
    v(oy) =v(o) •sinα= 135 •sin15 = 34.9 m/s,
    PlaneA:
    the tank moves upward along the parabolic path until its v(y) =0.
    The height hₒ= v²(o) •sin²α/2•g =135² •sin²15/2•9.8 = 62.3 m
    H=h+hₒ=2000+62.3 =2062.3 m.
    t =sqrt(2H/g) = sqrt(2•2062.3/9.8) = 20.5.
    The vertical component of the velocity near the ground is
    v(y)=gt = 9.8•20.5 = 201.05 m/s.
    v =sqrt(v²(x)+v²(y)) = sqrt(130.4² +201.05²) = 239.6 m/s.
    tanφ =v(y)/v(x) =201.05/130.4 =1.54,
    φ=57º

    Plane B.
    h=gt²/2 => t=sqrt(2h/g) =sqrt(2•2000/9.8) = 20.2 s.
    v(y) = v(oy)+gt = 34.9+9.8•20.2 = 232.9 m/s.
    v =sqrt(v²(x)+v²(y)) = sqrt(130.4² +232.9²) = 266.9 m/s.
    tanφ =232.9/130.4 = 1.789,
    φ = 60.8º.

    1. 👍
    2. 👎
    Elena

  2. A
    B
    A
    D
    B

    1. 👍
    2. 👎
    MR.Peanut

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    1.A motorcycle has a reserved fuel of 0.5 liter which can be used if it's 3-liter fuel tank is about to be emptied. The motorcycle consumes at most 0.5 liter fuel for every 20 km of travel. a. What mathematical statement

  2. Math

    Jan's gas tank is nearly empty, at 1\12 full. She doesn't have enough cash to fill the tank, but she adds enough gas to reach 2\3 full. How much gas did she add, as a fraction of the tank?

  3. Algebra

    A tank is drained by two pipes.One pipe can empty the tank in 30minutes,and the can empty it in 25minutes.If the tank is 5/6 filled and both pipes are opened,in what time will the tank be emptied

  4. algebra

    Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.2. With 52 gallons of fuel in its tank, the

  1. Chemistry 101

    The mileage for a motorcycle with a fuel tank capacity of 22 liters is 35 miles per gallon. The density of gasoline is 0.74 g/cm^3.(dimensional analysis problem) a). How long a trip, in KM can be made on a full tank of gasoline?

  2. Language Arts

    Read the excerpt from Team Moon. The heavier the spacecraft, the harder it is to launch. And fuel is heavy. So it was critical to pinpoint the fuel needed, add a cushion, then take no more than necessary. But now, because the

  3. math

    an empty rectangle tank with a base area of 2400 cm^2 is filed with water from 2 taps. one tap can fill the tank with 12L of water per minute, while the other tap can do it at 3l less perminute. (A) what will be the depth of water

  4. english

    is the adjective in this sentence empty: the car's gas tank is empty

  1. Physics

    The drawing shows two planes each dropping an empty fuel tank. At the moment of release each plane has the same speed of 173 m/s, and each tank is at the same height of 2.75 km above the ground. Although the speeds are the same,

  2. physics

    A meter stick lies on the bottom of a 100 cm long tank with its zero mark against the left edge. You look into the tank at an angle of θ = 24°, with your line of sight just grazing the upper left edge of the tank, and h = 32 cm.

  3. Math

    A bus driver filled up 7/8 fuel tank for a trip. She used 6/7 of the fuel by the end of the trip. the capacity of her tank is 70 gallons. How much fuel did she use for the trip? Express your answer as decimal. Please help BJ Thank

  4. CALCULUS

    Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The

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