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What force is required for a hermit crab to accelerate its 0.4 kg shell from 0.2 m/s to 1.1 m/s by pushing on it for 20 seconds?

A. 0.45 N
B. 2.5 N
C. 4.5 N
D. 25 N

Answer :

Final answer:

To accelerate a hermit crab's shell, a force of 4.5 N is needed, determined through calculations using the formulas for force and acceleration.

Explanation:

Force = mass x acceleration

Given: mass = 0.4 kg, initial velocity = 0.2 m/s, final velocity = 1.1 m/s, time = 20 seconds

Step-by-step calculation:

  1. Calculate acceleration using the formula: acceleration = (final velocity - initial velocity) / time
  2. Plug in values to find acceleration
  3. Substitute acceleration and mass into the formula: force = mass x acceleration
  4. Calculate the force applied by multiplying the mass and acceleration

Therefore, the force required is approximately 4.5 N.

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