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A cart with a mass of 50 kg is traveling at 3 m/s and speeds up to 15 m/s in 15 seconds. (Intro to GUESS method and acceleration) What is the net force on the cart during this time?
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Given :
- Initial velocity (u) = 3 m/s
- Final velocity (v) = 15 m/s
- Time (t) = 15 seconds
- Mass (m) = 50 kg
To find :
- Acceleration (a) &
- Force (F)
According to the question,
→ v = u + at
Where,
- v stands for Final velocity
- u stands for Initial velocity
- t stands for Time
- a stands for Acceleration
→ Substituting the values,
→ 15 = 3 + a × 15
→ 15 - 3 = 15a
→ 12 = 15a
→ 12 ÷ 15 = a
→ 0.8 = a
.°. Acceleration is 0.8 m/s².
Now,
→ Force = Mass × Acceleration
Or,
→ F = ma
→ Substituting the values,
→ F = 50 × 0.8
→ F = 40 N
So,the force is 40 Newton.
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