Physics

posted by .

An object is projected at an angle of 53.1degrees above the horizontal at a speed of 50m/s. Sometime later it enters a narrow tube positioned at an angle of 45degrees to the vertical. Determine:

a) The initial horizontal and vertical components of velocity.
Vperp = V1Sin(theta)= 50sin53.1 = 40m/s
Vpar = V1Cos(theta)= 50cos53.1 = 30m/s

b) The horizontal and vertical velocity components as the object enters the tube.

c) The position of the mouth of the tube relative to the point from which the object was thrown.

  • Physics -

    Your part (a) answer is correct. Part b) needs to specify where the tube is placed. It does not necessarily have to be placed where the trajectory angle is 45 degrees, but that may be what they expect you to assume. The trajectory angle is 45 degrees when Vperp = Vpar. That would mean Vperp = 30 m/s, since Vpar is fixed at that value.
    c) This would involve determining the height H at which Vperp = 30 m/s.

    Conservation of energy can be applied to the perpendicular portion of kinetic energy plus gravitational potential energy, so

    (1/2)MVperp,0^2 = (1/2)M*(30m/s)^2 + MgH
    (1/2)*40^2 = (1/2)(30^2) + gH
    H = (1/2)(1600 - 900)/g = 35.7 m above the launch plane.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    An object is projected at an angle of 53.1degrees above the horizontal at a speed of 50m/s. Sometime later it enters a narrow tube positioned at an angle of 45degrees to the vertical. Determine: a) The initial horizontal and vertical …
  2. Physics

    An object is thrown from the top edge of a building at a speed of 21.21 m/s at an angle of 45degrees above the horizontal. Some time later it passes point A which is 20m below the level of the top of the building, and continues to …
  3. physics

    A projectile is fired with an initial speed of 26.0 m/s at an angle of 30.0 above the horizontal. the object hits the ground 9.00 s later
  4. physics

    Two projectiles A and B are projected at the same time in the same vertical plane. A is projected at a height of 2m above the ground making an angle of 30deg with the horizontal. B is projected with the velocity of 20m/s at an angle …
  5. Science (physics)

    A particle P is launched from a point O with an initial velocity of 60m/s at an angle of 30 degrees to the horizontal. At the same time, a second particle Q is projected in the opposite direction with initial speed of 50m/s from a …
  6. Physics

    An object fired at an angle of 31.9° above the horizontal takes 2.55 s to travel the last 15.5 m of its vertical distance and the last 10.5 m of its horizontal distance. With what speed was the object launched?
  7. Physics

    An object fired at an angle of 31.9° above the horizontal takes 2.55 s to travel the last 15.5 m of its vertical distance and the last 10.5 m of its horizontal distance. With what speed was the object launched?
  8. Physics

    A stone is catapulted at time t = 0, with an initial velocity of magnitude 18.6 m/s and at an angle of 41.6° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from …
  9. Physics

    A quarterback throws a pass at an angle of 40 degrees above the horizontal with an initial speed of 20 m/s. The ball is caught by the receiver 2.55 seconds later. Determine horizontal velocity, vertical initial velocity, the distance …
  10. Physics

    A quarterback throws a pass at an angle of 40 degrees above the horizontal with an initial speed of 20 m/s. The ball is caught by the receiver 2.55 seconds later. Determine horizontal velocity, vertical initial velocity, the distance …

More Similar Questions