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balu736 [363]
2 years ago
13

A street light is at the top of a 13.0 ft. tall pole. A man 6.3 ft tall walks away from the pole with a speed of 3.5 feet/sec al

ong a straight path. How fast is the tip of his shadow moving when he is 48 feet from the pole?

Physics
1 answer:
amm18122 years ago
7 0

Answer:

\dfrac{dL}{dt}=5.82 \ ft/s

Explanation:

given,

street light height = 13 ft

man height = 6.3 ft

speed of the man = 3.5 ft/sec

\dfrac{H}{L} = \dfrac{h}{l}

\dfrac{H}{L} = \dfrac{h}{L-x}

\dfrac{L}{H} = \dfrac{L-x}{h}

hL = H(L-x)

hL = HL-Hx

L = \dfrac{Hx}{H-h}

L = \dfrac{13x}{13-6.3}

L = 1.94 x

\dfrac{dL}{dt}=\dfrac{dL}{dx}\dfrac{dx}{dt}

\dfrac{dL}{dt}=1.94\times 3

\dfrac{dL}{dt}=5.82 \ ft/s

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5 0
3 years ago
Read 2 more answers
A cook preparing a meal for a group of people is an example of ______
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Option B is correct.

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If the person drops box from 3.8 m how much energy is transferred from potential energy to kinetic energy
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Answer:

Kinetic energy

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For example, when you pedal your bicycle so that its speed increases, you are doing work to transfer chemical energy from your muscles to the kinetic energy of the bicycle.

Kinetic energy is the energy an object possesses by virtue of its movement. The amount of kinetic energy possessed by a moving object depends on the mass of the object and its speed. The greater the mass and the speed of the object the greater its kinetic energy.

The kinetic energy Ek of an object of mass m at a speed v is given by the relationship

{E_k} = \frac{1}{2}m{v^2}

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Explanation:

When work is done on an object it may also lead to energy being transferred to the object in the form of gravitational potential energy of the object.

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When this force (equal to the weight mg, but upwards) is applied to the suitcase over the distance h:

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8 0
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