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Q.A running man has half the kinetic energy of a body of half his mass. The man speeds up by 1.0ms^-1and then has the same kinetic energy as the boy . The original speed of the boy was?
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Q.A running man has half the kinetic energy of a body of half his mass...
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Q.A running man has half the kinetic energy of a body of half his mass...
Introduction:
In this problem, we are given that a running man has half the kinetic energy of a body of half his mass. We are also told that when the man speeds up by 1.0 m/s, he has the same kinetic energy as the boy. We need to find the original speed of the boy.

Given:
- The running man has half the kinetic energy of a body of half his mass.
- When the man speeds up by 1.0 m/s, he has the same kinetic energy as the boy.

Let's solve the problem step by step:

Step 1: Understanding Kinetic Energy
Kinetic energy is given by the equation: K.E. = 1/2 * m * v^2, where K.E. is the kinetic energy, m is the mass, and v is the velocity.

Step 2: Expressing the Given Information
- The running man has half the kinetic energy of a body of half his mass. This can be written as:
K.E.(man) = 1/2 * (1/2)m * v^2
- When the man speeds up by 1.0 m/s, he has the same kinetic energy as the boy. Let's assume the original velocity of the boy is v0. After speeding up, the velocity becomes v0 + 1.0 m/s. Thus, we can write:
K.E.(man) = K.E.(boy)
1/2 * (1/2)m * v^2 = 1/2 * m * (v0 + 1.0)^2

Step 3: Solving the Equation
Let's solve the equation for the original velocity of the boy (v0).

1/2 * (1/2)m * v^2 = 1/2 * m * (v0 + 1.0)^2

Simplifying the equation, we get:

1/2 * (1/2)v^2 = (v0 + 1.0)^2

Taking the square root on both sides, we have:

1/2 * (1/2)v = v0 + 1.0

1/4 * v = v0 + 1.0

v0 = 1/4 * v - 1.0

Step 4: Finding the Original Speed of the Boy
To find the original speed of the boy (v0), we need to substitute the given values into the equation. However, we don't have a specific value for the velocity (v) of the running man. Therefore, we cannot determine the exact original speed of the boy without additional information.

However, if we assume a value for the velocity of the running man, we can calculate the corresponding original speed of the boy using the equation v0 = 1/4 * v - 1.0.
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Clockwork refers to the inner workings of mechanical clock or watch (where it is known as “movement”) and different types of toys which work using a series of gears driven by a spring. Clockwork device is completely mechanical and its essential parts are:• A key (or crown) which you wind to add energy• A spiral spring in which the energy is stored• A set of gears through which the spring's energy is released. The gears control how quickly (or slowly) a clockwork machine can do things. Such as in mechanical clock / watch the mechanism is the set of hands that sweep around the dial to tell the time. In a clockwork car toy, the gears drive the wheels.Winding the clockwork with the key means tightening a sturdy metal spring, called the mainspring. It is the process of storing potential energy. Clockwork springs are usually twists of thick steel, so tightening them (forcing the spring to occupy a much smaller spac e) is actually quite hard work. With each turn of the key, fingers do work and potential energy is stored in the spring. The amount of energy stored depends on the size and tension of the spring. Harder a spring is to turn and longer it is wound, the more energy it stores.While the spring uncoils, the potential energy is converted into kinetic energy through gears, cams, cranks and shafts which allow wheels to move faster or slower. In an ancient clock, gears transform the speed of a rotating shaft so that it drives the second hand at one speed, the minute hand at 1/60 that speed, and the hour hand at 1/3600 that speed. Clockwork toy cars often use gears to make themselves race along at surprising speed.When the spring of a clockwork uncoils

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Q.A running man has half the kinetic energy of a body of half his mass. The man speeds up by 1.0ms^-1and then has the same kinetic energy as the boy . The original speed of the boy was?
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Q.A running man has half the kinetic energy of a body of half his mass. The man speeds up by 1.0ms^-1and then has the same kinetic energy as the boy . The original speed of the boy was? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Q.A running man has half the kinetic energy of a body of half his mass. The man speeds up by 1.0ms^-1and then has the same kinetic energy as the boy . The original speed of the boy was? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.A running man has half the kinetic energy of a body of half his mass. The man speeds up by 1.0ms^-1and then has the same kinetic energy as the boy . The original speed of the boy was?.
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