PHYSICS MIDDLE SCHOOL

As the mass oscillates on a spring, when is displacement at its maximum and velocity equal to zero? A. when it is partially compressed
B. when it is at the equilibrium position
C. when it is fully stretched
D. when it is at near rest

Answers

Answer 1
Answer:

Answer:

option (c)

Explanation:

The velocity of the oscillating body is zero when it is at its maximum displacement position from its mean position.

So, when the spring is fully stretched, means at maximum displacement the velocity is zero.
Answer 2
Answer:

C. when it is fully stretched

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. A projectile is fired with an initial velocity of 113 m słatan angle of 60.0degrees above the horizontal from the top of a cliff 49.0 m high.
Calculate:
(a) the time to reach maximum height
(b) the maximum height above the base of the cliff reached by the
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Answers

Answer:

a) 9.99 s

b) 538 m

c) 20.5 s

d) 1160 m

Explanation:

Given:

x₀ = 0 m

y₀ = 49.0 m

v₀ = 113 m/s

θ = 60.0°

aₓ = 0 m/s²

aᵧ = -9.8 m/s²

a) At the maximum height, the vertical velocity vᵧ = 0 m/s.  Find t.

vᵧ = aᵧ t + v₀ᵧ

(0 m/s) = (-9.8 m/s²) t + (113 sin 60.0° m/s)

t ≈ 9.99 s

b) At the maximum height, the vertical velocity vᵧ = 0 m/s.  Find y.

vᵧ² = v₀ᵧ² + 2aᵧ (y − y₀)

(0 m/s)² = (113 sin 60° m/s)² + 2 (-9.8 m/s²) (y − 49.0 m)

y ≈ 538 m

c) When the projectile lands, y = 0 m.  Find t.

y = y₀ + v₀ᵧ t + ½ aᵧ t²

(0 m) = (49.0 m) + (113 sin 60° m/s) t + ½ (-9.8 m/s²) t²

You'll need to solve using quadratic formula:

t ≈ -0.489, 20.5

Since negative time doesn't apply here, t ≈ 20.5 s.

d) When the projectile lands, y = 0 m.  Find x. (Use answer from part c).

x = x₀ + v₀ₓ t + ½ aₓ t²

x = (0 m) + (113 cos 60° m/s) (20.5 s) + ½ (0 m/s²) (20.5 s)²

x ≈ 1160 m

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Answers

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Answers

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Explanation:

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Answers

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Answers

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Answers

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