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Chapter 7

Chapter 7. Projectile Motion. Projectile Motion. The motion of an object that has been thrust into air where the only forces acting on it are gravity & air resistance. Projectile Motion. Because we ignore air resistance, the only force acting on thrown objects is gravity. Projectile.

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Chapter 7

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  1. Chapter 7 Projectile Motion

  2. Projectile Motion • The motion of an object that has been thrust into air where the only forces acting on it are gravity & air resistance.

  3. Projectile Motion • Because we ignore air resistance, the only force acting on thrown objects is gravity.

  4. Projectile • The object that has been given an initial thrust, fired, or thrown into air.

  5. Trajectory • The path of a projectile as it travels through space.

  6. In Projectile Motion • The vertical & horizontal components act independently & can be solved independently

  7. In Projectile Motion • The only force acting vertically is the force of gravity causing downward acceleration.

  8. In Projectile Motion • There are no net forces acting horizontally; thus, the horizontal velocity is constant.

  9. In Projectile Motion • Use your velocity formulas to solve for vertical & horizontal motion independently.

  10. In Projectile Motion • Solve for time in air 1st • Always use the vertical component to solve for the time in air.

  11. In Projectile Motion • After solving for the time in air, solve for the range or horizontal distanced traveled

  12. A rock has been thrown horizontally at 4.0 m/s from a tower 49 m high. Calculate: tair, dH, and vH & vV the instant before impact:

  13. A plane flying horizontally at 250 m/s at an altitude of 4.9 km high drops a bomb. Calculate: tair, dH, and vV the instant before impact:

  14. Drill: A ball rolls at 75 cm/s off the edge of a 49 cm table. Calculate: tair, maximum vV, and dH:

  15. A car traveling at 1500 cm/s goes off the edge of a 0.49 km high cliff. Calculate: tair, dH, and maximum vV:

  16. A car accelerates at 5.0 m/s2 for 250 m before going off the edge of a 0.49 km high cliff. Calculate: t & max v on the ground, & t, dH, and max vV in air:

  17. Drill: A bullet exits a 0.50 m barrel horizontally at 500.0 m/s from a height of 2.0 m. Calculate: (a & t)in barrel, (t, max vV, & dH)in air:

  18. A cannon ball is fired at 1000.0 m/s at 53o from horizontal. Calculate: max height, tair ,vVat impact, dH:

  19. Repeat the last problem with a cannon ball exiting the barrel at the same speed with angles of 40o, 45o, & 50o

  20. Assumming all factors are the same for that cannon, Calculate its maximum range:

  21. Drill: A ball is thrown at 25 m/s at 45o from horizontal. Calculate: tair, hmax, vVmax, dH:

  22. A ball is thrown at 25 m/s at 53o from horizontal. Calculate: vV, vH, tair, hmax, & dH

  23. A 25 Mg car is accelerated from rest at 5.0 m/s2 up a 250 m ramp at 37o from horizontal. Calculate: t, & vf on the ramp, and dV, dH, t, and maximum vV in air:

  24. A 1.0 Mg block slides from rest down a 250 m ramp (m = 0.20) at 37o from horizontal that ends 490 m above the ground. Calculate: t, & vf on the ramp, and dH, t, and maximum vV in air:

  25. Review

  26. A sled coasts off a 0.49 km cliff at 18 km /hr. Calculate: tair, max vV, & dH:

  27. A catapult launches a 250 kg rock at 100.0 m/s at 37o from horizontal. Calculate: tup, dV, tair, & dH :

  28. Define each of the following • Distance Displacement • Speed Force • Velocity Acceleration

  29. Give Units for each of the following • Distance Displacement • Speed Acceleration • Velocity Force

  30. vf = vi + at d = vit + ½ at2 vf2 = vi2+ 2ad

  31. Projectile MotionProjectileTrajectory

  32. A 25 Mg sled slides from rest down a 500.0 m slope (m = 0.10) at 37o from horizontal that ends 2.45 km above the ground. Calculate: t, & vf on the slope, and dH, tair, and the maximum vV in air:

  33. A 250 Mg sled accelerates at 3.0 m/s2 up a 250 m ramp (m = 0.25) at 53o from horizontal. Calculate: Fa, tramp, vf ramp, tair, dv, & dH

  34. A 0.10 Mg cycle is accelerated with a force of 500.0 N for 10.0 s before hitting a 25 m ramp at 37o from horizontal. Draw the system and Calculate: vat bottom & top of ramp, and t, dv, & dH in the air

  35. An airplane is flying horizontally due west at 360 km/hr at an altitude of 0.49 km & drops a 2000 lb bomb. Draw the system and Calculate: tair, maximum vV, & dH.

  36. A 50.0 kg person skis (m = 0.010) down a 3.0 km ski trail with an average slope of 30o. Draw the system and Calculate: a, t, maximum v on the trail

  37. British Ships had cannons with muzzle velocities of 400 m/s while the cannons at Ft McHenry could fire at 500 m/s. The British could elevate to 45o while the Americans could elevate to 18o. Which cannons had the greater range.

  38. Expanding gases produce about 10,000 N of force in a gun barrel. One nation wants to build a cannon that will deliver a 2,000 kg cannon ball 200 km. Calculate the length that the barrel must be. Because you are estimating round g to –10 m/s2.

  39. a b A B • a = 37o • = 53o Y = 1.00 kN C X Y

  40. a b FV of A FV of B + FV of C A B FH of A FH of C FH of B C FH of C Wx + FV of C WY

  41. a b A B FV of A FV of B FH of C FH of A C FH of B FV of C FH of C FV of C Wx + FV of C WY

  42. A 200.0 kg rock is catapulted at 53o from horizontal at about 0.10 km/s. Draw the system and Calculate: t, dv, & dH in the air

  43. A rock is thrown at 37o from horizontal at about 25 m/s. Draw the system and Calculate: t, dv, & dH in the air

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