A constant force of 2.8 N to the right acts on a 17.8 kg mass for 0.83 s.(a) Find the final velocity of the mass if it is initially at rest.
Question
A constant force of 2.8 N to the right acts on a 17.8 kg mass for 0.83 s.
(a) Find the final velocity of the mass if it is initially at rest.
Solution
Sure, let's solve this step by step:
Step 1: Identify the given values.
- Force (F) = 2.8 N
- Mass (m) = 17.8 kg
- Time (t) = 0.83 s
- Initial velocity (u) = 0 (since the mass is initially at rest)
Step 2: Use Newton's second law of motion to find the acceleration. Newton's second law states that Force = mass x acceleration, or F = ma. So, acceleration (a) = F/m = 2.8 N / 17.8 kg = 0.1573 m/s².
Step 3: Use the formula for final velocity. The formula for final velocity (v) is v = u + at. Substitute the given values into the formula: v = 0 + (0.1573 m/s² * 0.83 s) = 0.1306 m/s.
So, the final velocity of the mass is 0.1306 m/s.
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