The drawing shows two frictionless inclines that begin at ground level (h = 0 m) and slope upward at the same angle θ. One track is longer than the other, however. Identical blocks are projected up each track with the same initial speed v0. On the longer track the block slides upward until it reaches a maximum height H above the ground. On the shorter track the block slides upward, flies off the end of the track at a height H1 above the ground, and then follows the familiar parabolic trajectory of projectile motion. At the highest point of this trajectory, the block is a height H2 above the end of the track. The initial total mechanical energy of each block is the same and is all kinetic energy. The initial speed of each block is v0 = 7.38 m/s, and each incline slopes upward at an angle of θ = 50.0°. The block on the shorter track leaves the track at a height of H1 = 1.25 m above the ground. Find (a) the height H for the block on the longer track and (b) the total height H1 + H2 for the block on the shorter track.

  1. 👍
  2. 👎
  3. 👁
  1. Each Track
    Vo = 7.38 m/s. @ 50o.
    Xo = 7.38*cos50 = 4.74 m/s.
    Yo = 7.38*sin50 = 5.65 m/s.

    The Longer Track
    a. hmax = (Y^2-Yo^2)/2g.
    hmax = (0-31.9)/-19.6 = 1.63 m.

    The Shorter Track
    b. Y^2 = Yo^2 + 2g*d
    Y^2 = 31.9 - 19.6*1.25 = 7.4
    Y = 2.72 m/s = Velocity at 1.25 m.

    hmax = 1.25 + (0-(2.72)^2/-19.6=1.63 m.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to

  2. Physics

    The drawing shows a jet engine suspended beneath the wing of an airplane. The weight W of the engine is 12000 N and acts as shown in the drawing. In flight the engine produces a thrust T of 54200 N that is parallel to the ground.

  3. Maths

    The height above ground level in metres of a missile launched vertically, is given by h(t)=-16th^3+100t. At what time is missile 50m in above ground level?

  4. physics

    Two people, one twice as massive as the other, try to play tug of war on a nearly frictionless, level, icy surface. When they begin to tug, they are 12 m apart. They tug by pulling the rope hand over hand, until their hands meet

  1. Physics

    A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground, and the surface is at an angle = 20°. For a speed of 29 m/s, at what value of the

  2. Physics

    The person in the drawing is standing on crutches. Assume that the force exerted on each crutch by the ground is directed along the crutch, as the force vectors in the drawing indicate. If the coefficient of static friction

  3. physics

    From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s, parallel to the ground. As the drawing shows, the bullet puts a hole in a window of another building and hits the wall that faces

  4. Maths

    A ball is thrown vertically upwards at 3 m s-1 from 1m above ground level (I) write down the equation for the height of the ball above the ground after t seconds (while the ball is in the air). (II) use your answer to find the

  1. Chemistry!

    An excited hydrogen atom emits light with a frequency of 1.141x10^14 Hz to reach the energy level for which n=4. In what principle quantum level did the electron begin?

  2. las st

    An airplane is flying with a velocity of 240 m/s at an angle of 30.0o with the horizontal, as the drawing shows. When the altitude of the plane is 2.4 km, a flare is released from the plane. The flare hits the target on the

  3. physics

    The drawing shows three energy levels of a laser that are involved in the lasing action. These levels are analogous to the levels in the Ne atoms of a He-Ne laser. The E2 level is a metastable level, and the E0 level is the ground

  4. physics

    In Figure 8-50, a block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level, where a frictional force stops the

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