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TiliK225 [7]
3 years ago
11

Determine the mechanical energy of this object. A 2 kg pendelum has a speed of 1 m/s at a height of 1/2 meter

Physics
1 answer:
Readme [11.4K]3 years ago
8 0

Mechanical Energy: 10.81 J given that g = 9.81 \; \text{m}\cdot\text{s}^{-2}.

<h3>Explanation</h3>

The mechanical energy of an object is the sum of its kinetic and potential energy.

Kinetic Energy of this object:

\text{KE} = \dfrac{1}{2} \; m \cdot v^{2} = \dfrac{1}{2} \times 2 \times 1 = 1 \; \text{J}

Gravitational Potential Energy of this object:

g = 9.81 \; \text{m}\cdot\text{s}^{-2}.

\text{PE} = m \cdot g \cdot h = 2 \times 9.81 \times \dfrac{1}{2} = 9.81 \; \text{J}.

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Answer:

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Explanation:

We will solve this problem by equating forces on each axis.

  1. On x-axis let forces in positive x-direction be positive and forces in negative x-direction be negative
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While towing we know that car is mot moving in y-direction so net force in y-axis must be zero

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⇒Fa*sin(50)=Fb*sin(20)

⇒Fa=2.24Fb

Given that resultant force on car is 950N in positive x-direction

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⇒2.24*Fb*cos(20)+Fb(50)=950

⇒Fb*(2.24*cos(20)+cos(50))=950

⇒Fb=\frac{950}{2.24*cos(20)+cos(50)}

⇒Fb=\frac{950}{2.24*0.94+0.64}

⇒ Fb=\frac{950}{2.75}=345.5

⇒Fa=2.24*Fb

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