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sladkih [1.3K]
3 years ago
7

PART 1/4

Physics
1 answer:
Yuliya22 [10]3 years ago
4 0

Answer:

1. 10.0 J

2. 0.742 m/s

3. 0.494 m/s

4. 0.0249 m

Explanation:

(1/4) The elastic energy in a spring is:

EE = ½ k x²

EE = ½ (502 N/m) (0.2 m)²

EE ≈ 10.0 J

(2/4) The energy in the spring is converted to kinetic energy in the block and work by friction.

EE = KE + W

EE = ½ m v² + Fd

10.0 J = ½ (8 kg) v² + (8 kg × 9.8 m/s² × 0.5) (0.2 m)

v ≈ 0.742 m/s

(3/4) Momentum is conserved.

Momentum before = momentum after

(8 kg) (0.742 m/s) = (8 kg + 4 kg) v

v ≈ 0.494 m/s

(4/4) The kinetic energy of the blocks is converted to work by friction.

KE = W

½ m v² = Fd

½ (8 kg + 4 kg) (0.494 m/s)² = ((8 kg + 4 kg) × 9.8 m/s² × 0.5) d

d ≈ 0.0249 m

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doubles

Explanation:

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v=\omega r

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v is the linear speed

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r is the distance from the centre of the circular path

In this proble, the pet hamster moves to a point twice as far from the center; this means that its distance from the centre, r', is doubled:

r'=2r

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So, the correct answer is

the linear speed doubles

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4 years ago
A hydraulic lift raises a 2 000-kg automobile when a 500-N force is applied to the smaller piston. If the smaller piston has an
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Answer:

The cross-sectional area of the larger piston is 392 cm²

Explanation:

Given;

output mass of the piston, m₀ = 2000 kg

input force of the piston, F₁ = 500 N

input area of the piston, A₁ = 10 cm² = 0.001 m²

The output force is given by;

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F₀ = 2000 x 9.8

F₀ = 19600 N

The cross-sectional area of the larger piston or output area of the piston will be calculated by applying the following equations;

\frac{F_i}{A_i} = \frac{F_o}{A_o} \\\\A_o= \frac{F_o A_i}{F_i} \\\\A_o = \frac{19600*0.001}{500} \\\\A_o = 0.0392 \ m^2\\\\A_o = 392 \ cm^2

Therefore, the cross-sectional area of the larger piston is 392 cm²

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Answer:

F = 683.8 N

Explanation:

The gravitational force of attraction between the Earth and the student is given by Newton's Law of Gravitation as follows:

F = \frac{Gm_{1}m_{2}}{r^2}

where,

F = Force = ?

G = Universal gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²

m₁ = mass of Earth = 5.98 x 10²⁴ kg

m₂ = mass of student = 70 kg

r = distance between Earth and student = 6.39 x 10⁶ m

Therefore,

F = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^1)(5.98\ x\ 10^{24}\ kg)(70\ kg)}{(6.39\ x\ 10^6\ m)^2}\\

<u>F = 683.8 N</u>

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<em>Answer:</em>

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Answer:

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Explanation:

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