physics

posted by .

An archer shoots an arrow toward a 300 g target that is sliding in her direction at a speed of 2.35 m/s on a smooth, slippery surface. The 22.5 g arrow is shot with a speed of 41.0 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target?

  • physics -

    the change of momentum of the arrow will be the same as the change of momentum of the target
    initial target momentum = 0.300 * 2.35 = .705 kg m/s
    final target momentum = 0
    so the arrow momentum will be reduced by .705 kg m/s
    final arrow momentum = .0225*41 - .705
    = .2175 kg m/s
    final arrow speed = .2175/.0225 = 9.67 m/s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    An archer shoots and arrow horizontally at a target 15m away. The arrow is aimed directly at the center of the target, but it hits 52 cm lower. What was the initial speed of the arrow?
  2. physics

    An archer shoots an arrow toward a 300 g target that is sliding in her direction at a speed of 2.35 m/s on a smooth, slippery surface. The 22.5 g arrow is shot with a speed of 41.0 m/s and passes through the target, which is stopped …
  3. physics

    An archer shoots an arrow toward a 300 g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. The 22.5 g arrow is shot with a speed of 38.0 m/s and passes through the target, which is stopped …
  4. Physics

    An archer shoots an arrow horizontally at a target 14 m away. The arrow is aimed directly at the center of the target, but it hits 59 cm lower. What was the initial speed of the arrow?
  5. phy

    An archer shoots an arrow horizontally at a target 14 m away. The arrow is aimed directly at the center of the target, but it hits 52 cm lower. 1-What was the initial speed of the arrow?
  6. phy

    An archer shoots an arrow horizontally at a target 14 m away. The arrow is aimed directly at the center of the target, but it hits 52 cm lower. 1-What was the initial speed of the arrow?
  7. Physics

    An archer shoots an arrow horizontally at a target 12 m away. The arrow is aimed directly at the center of the target, but it hits 56 cm lower. What was the initial speed of the arrow?
  8. Physics

    An archer wishes to shoot an arrow at a target at eye level a distance of 45.0 m away. If the initial speed imparted to the arrow is 68.2 m/s, what angle should the arrow make with the horizontal as it is being shot?
  9. physics

    An archer shoots an arrow toward a 300 g target that is sliding in her direction at a speed of 2.45 m/s on a smooth, slippery surface. The 22.5 g arrow is shot with a speed of 40.5 m/s and passes through the target, which is stopped …
  10. physics

    An archer shoots a 54.6 g arrow horizontally at a target 14.0 m away. The arrow is 18.0 inches long. The 54.6 g arrow is aimed directly at the center of the target, but it hits 60.0 cm lower. What was the initial speed of the arrow?

More Similar Questions