Work and Kinetic Energy Problem

In summary, two circus performers, Jack and Jill, with a total mass of 120kg, start a 5.0m long swing with a rope attached at an angle of 36 degrees from the horizontal. Jack, with a mass of 65kg, steps off at the bottom of the arc. The question asks for the maximum height of a landing ramp that Jill can reach as the swing continues. To find the potential energy, the formula Pe = mgh is used, with the height being 5 - 5cos(36). The final answer is 1.469463131, although there is uncertainty about the accuracy due to confusion about the angle being with the vertical or horizontal.
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Work and Kinetic Energy Problem...URGENT

Homework Statement



Two circus performers, Jack and Jill, whose total mass is 120kg, start a swing which is 5.0 m long such that initially the rope attached to their swing makes an angle of 36 degrees with the horizontal. At the bottom of the arc, Jack, who’s mass is 65 kg, steps of. What is the maximum height of a landing ramp that Jull can reach as the swing continues?

Homework Equations





The Attempt at a Solution



I got 1.469463131 but really I am unsure of whether it is correct.
 
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  • #2


If they are on a swing wouldn't the angle be with the vertical?

assuming it is the angle with the vertical the first step would be finding potential energy.

[tex] Pe = mgh [/tex] the height would be [tex] 5 - 5cos(36) [/tex]
 
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  • #3


i have the same problem for homework but can you explain how you got your answer?
 

Related to Work and Kinetic Energy Problem

1. What is the formula for calculating work?

The formula for work is W = F d cosθ, where W is work, F is the applied force, d is the displacement, and θ is the angle between the force and displacement vectors.

2. How is work related to kinetic energy?

Work and kinetic energy are closely related, as work done on an object is equal to the change in kinetic energy. This can be represented by the equation W = ΔK = 1/2 mv2 - 1/2 mv02, where W is work, ΔK is the change in kinetic energy, m is the mass of the object, v is the final velocity, and v0 is the initial velocity.

3. What is the difference between work and power?

Work is the amount of energy transferred to or from an object by a force, while power is the rate at which work is done. In other words, work measures the total amount of energy involved, while power measures how quickly that energy is being transferred.

4. How can I apply the concept of work and kinetic energy to real-life situations?

The concept of work and kinetic energy can be applied to various real-life situations, such as calculating the amount of work needed to lift an object, determining the speed of a moving object based on its kinetic energy, or understanding the energy transfers involved in machines and mechanical systems.

5. What are some common units for measuring work and kinetic energy?

The SI unit for work and energy is the joule (J), which is equivalent to 1 kg*m2/s2. Other common units include foot-pounds (ft-lb) and calorie (cal). For larger quantities, the kilojoule (kJ) and megajoule (MJ) are often used.

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