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3 years ago

The diagram below shows the acceleration vs. time for a falling object. What was true about the object at 0.5 seconds?

Physics

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer:

B. The object reached terminal velocity.

Explanation:

At t=0.5, the acceleration is 0, so the velocity is constant. So the object has reached terminal velocity, and the net force is 0.

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(a) If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b) if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

$\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}$

(a)

when the force is halved, F₂ = 0.5F₁,

mass is doubled, m₂ = 2m₁

$\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)$

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

$\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)$

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

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2 years ago

Assume you push a 20 kg child in a little red wagon with a force of 100 N. However, the dirt and rocks below the wheels

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Answer:

Explanation:

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The answers include the following:

The unit of length most suitable for measuring the thickness of a cell phone is a meter.
The unit of length most suitable for measuring the height of a backyard tree is a meter.

<h3>What is Meter?</h3>

This is defined as the standard unit for measuring the length of a body and is denoted as m.

Height is a vertical type of length which is why meter was chosen as the most appropriate choice.

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1 year ago

A proton in a high-energy accelerator is given a kinetic energy of 50.0 GeV. Determine (a) the momentum and (b) the speed of the

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(a) The momentum of the proton is determined as 5.17 x 10⁻¹⁸ kgm/s.

(b) The speed of the proton is determined as 3.1 x 10⁹ m/s.

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The momentum of the proton is calculated as follows;

K.E = ¹/₂mv²

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v² = 2K.E/m

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P = mv = (1.67 x10⁻²⁷ x 3.1 x 10⁹) = 5.17 x 10⁻¹⁸ kgm/s

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1 year ago

The acceleration due to gravity vector is always in the ____ direction.

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It goes in the downward direction

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