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inna [77]
2 years ago
6

Is the box moving at a constant speed? Explain how you know. What does this tell you about the kinetic energy of the system

Physics
1 answer:
mars1129 [50]2 years ago
8 0

Answer:

The box is moved at constant speed, then the change in kinetic energy is zero.

Explanation:

Let suppose that box moves at constant speed, meaning that its kinetic energy (K), measured in joules, is expressed by the following equation:

K = \frac{1}{2}\cdot m\cdot v^{2} (1)

Where:

m - Mass, measured in kilograms.

v - Speed, measured in meters per second.

If the box moves at constant speed, then we notice that v_{f}^{2}-v_{o}^{2} = 0, therefore, \Delta K = 0. In a nutshell, if the box is moved at constant speed, then the change in kinetic energy is zero.

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Velocity of a Hot-Air Balloon A hot-air balloon rises vertically from the ground so that its height after t sec is given by the
Inessa [10]

Answer:

Explanation:

Given the height reached by a balloon after t sec modeled by the equation

h=1/2t²+1/2t

a) To calculate the height of the balloon after 40 secs we will substitute t = 40 into the modeled equation and calculate the value of t

If h(t)=1/2t²+1/2t

h(40) = 1/2(40)²+1/2 (40)

h(40) = 1600/2 + 40/2

h(40) = 800 + 20

h(40) = 820 feet

The height of the balloon after 40 secs is 820 feet

b) Velocity is the change of displacement of a body with respect to time.

v = dh/dt

v(t) = 2(1/2)t²⁻¹ + 1/2

v(t) = t + 1/2

when v = 0sec

v(0) = 0 + 1/2

v(0) = 1/2 ft/sec

at v = 30secs

v(30) = 30 + 1/2

v(30) = 30 1/2 ft/sec

average velocity = v(30) - v(0)

average velocity = 30 1/2 - 1/2

average velocity of the balloon between t = 0 and t = 30 = 30 ft/sec

c) Velocity is the change of displacement of a body with respect to time.

v = dh/dt

v(t) = 2(1/2)t²⁻¹ + 1/2

v(t) = t + 1/2

The velocity of the balloon after 30secs will be;

v(30) = 30+1/2

v(30) = 30.5ft/sec

The velocity of the balloon after 30 secs is 30.5 feet/sec

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3 years ago
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stira [4]
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Answer:

the answer is 2000Nm

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wprk done = force × distance moved

w.d = 200N × 10m

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Answer:

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