A force of 50 N was necessary to lift a rock. A total of 150 J of work was done. How far was the rock lifted?
1 answer:
Answer:
Explanation:
Work is the product of force and distance.
We know the force to lift the rock was 50 Newtons. The work was 150 Joules.
- 1 Joule is equal to 1 Newton meters.
- We can convert the units to make the problem simpler later. The work is also 150 Newton meters.
Substitute the values into the formula.
We want to solve for distance, so we must isolate the variable. Divide both sides of the equation by 50 Newtons.
The Newtons will cancel out.
The rock was lifted <u>3 meters.</u>
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Answer:
Explanation:
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The amplitude A is 8.8cm, because it's the maximum distance the mass can go away from the equilibrium point. In meters, it is equivalent to 0.088m.
The angular frequency ω can be calculated with the formula:
Where k is the spring constant and m is the mass of the particle.
Now, since the spring starts stretched at its maximum, the appropriate function to use is the positive cosine in the equation of simple harmonic motion:
Finally, the equation of the motion of the system is:
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