How much work would it take to push a # 3 kg # weight up a # 10 m # plane that is at an incline of # pi / 3 #?
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To calculate the work done, you can use the formula:
[W = F \times d \times \cos(\theta)]
Where:
- (W) = Work done
- (F) = Force applied (in the direction of motion)
- (d) = Distance moved
- (\theta) = Angle between the force and the direction of motion
In this case:
- (m) = 3 kg (mass)
- (g) = 9.8 m/s² (acceleration due to gravity)
- (d) = 10 m (distance)
- (\theta) = (\frac{\pi}{3})
[F = m \times g \times \sin(\theta)] [F = 3 \times 9.8 \times \sin\left(\frac{\pi}{3}\right)]
[W = F \times d \times \cos(\theta)] [W = (3 \times 9.8 \times \sin\left(\frac{\pi}{3}\right)) \times 10 \times \cos\left(\frac{\pi}{3}\right)]
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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