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Choose the correct answer. If a projectile has a mass of 0.25 kg, what is the force needed to accelerate it...

19. Choose the correct answer.
If a projectile has a mass of 0.25 kg, what is the force needed to accelerate it at 9 m/s²?
2.25 N
4/9 N
36 N
1/36 N
20. Select all that apply.
Choose the degree measures of both acute angles.
legs 5 cm and 8 cm
49°
41°
32°

Answer

  1. To find the force needed to accelerate a projectile, use Newton's second law: F = ma. Here, m = 0.25 kg and a = 9 m/s².

    F = 0.25 kg × 9 m/s² = 2.25 N

    The correct answer is 2.25 N.

  2. To find the acute angles in a right triangle with legs 5 cm and 8 cm, use the tangent function: tan(θ) = opposite/adjacent.

    For the angle opposite the 5 cm leg: tan(θ) = 5/8. Using a calculator, θ ≈ 32°.

    For the angle opposite the 8 cm leg: tan(θ) = 8/5. Using a calculator, θ ≈ 58°.

    The acute angles are 32° and 58°. Therefore, the correct answer is 32°.

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