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Answer :
Final answer:
The force required for the hermit crab to accelerate its 0.4kg shell from 0.2(m)/(s) to 1.1(m)/(s) by pushing on its shell for 20 seconds is approximately 0.018 N.
Explanation:
To calculate the force required for the hermit crab to accelerate its shell, we can use Newton's second law of motion, which states that the force exerted on an object is equal to its mass multiplied by its acceleration. First, we need to calculate the change in velocity of the shell by subtracting its initial velocity from its final velocity: Δv = vf - vi = 1.1 m/s - 0.2 m/s = 0.9 m/s. Next, we can calculate the acceleration using the formula a = Δv/t, where t is the time taken to accelerate. Plugging in the values, we get a = 0.9 m/s / 20 s = 0.045 m/s².
Now, we can calculate the force using the formula F = ma, where F is the force, m is the mass, and a is the acceleration. Plugging in the values, we get F = 0.4 kg * 0.045 m/s² = 0.018 N. Therefore, the force required for the hermit crab to accelerate its shell is approximately 0.018 N.
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Final answer:
The force required for the hermit crab to accelerate its shell is approximately 0.018 Newtons.
Explanation:
To find the force required to accelerate the hermit crab's shell, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:
Force = Mass × Acceleration
Given:
- Mass of the shell (m) = 0.4 kg
- Initial velocity (v1) = 0.2 m/s
- Final velocity (v2) = 1.1 m/s
- Time (t) = 20 s
First, we need to calculate the acceleration:
Acceleration = (Final Velocity - Initial Velocity) / Time
Acceleration = (1.1 m/s - 0.2 m/s) / 20 s
Acceleration = 0.9 m/s / 20 s
Acceleration = 0.045 m/s²
Now, we can use the mass and acceleration to calculate the force:
Force = Mass × Acceleration
Force = 0.4 kg × 0.045 m/s²
Force = 0.018 N
Therefore, the force required for the hermit crab to accelerate its shell is approximately 0.018 Newtons.
