Q1. A cyclist accelerates at 3 m/s² for 4 seconds. What is the final velocity if the initial velocity is 2 m/s? (2023)
Solution:
Using v = u + at, we have v = 2 m/s + (3 m/s² * 4 s) = 2 + 12 = 14 m/s.
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Q2. A 4 kg object is moving with a velocity of 5 m/s. What is its kinetic energy? (2021)
Solution:
Kinetic energy KE = 1/2 mv² = 1/2 * 4 kg * (5 m/s)² = 50 J.
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Q3. A 50 kg object is pulled with a force of 200 N. What is its acceleration? (2023)
Solution:
Using F = ma, we find a = F/m = 200 N / 50 kg = 4 m/s².
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Q4. A block of mass 5 kg is pulled on a horizontal surface with a force of 20 N. If the frictional force is 5 N, what is the acceleration of the block? (2020)
Solution:
Net force = Applied force - Frictional force = 20 N - 5 N = 15 N. Using F = ma, a = F/m = 15 N / 5 kg = 3 m/s².
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Q5. If a force of 15 N is applied to a mass of 3 kg, what is the acceleration of the mass? (2023)
Solution:
Using F = ma, a = F/m = 15 N / 3 kg = 5 m/s².
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Q6. A car accelerates from rest at a constant rate of 2 m/s². How far does it travel in 5 seconds? (2021)
Solution:
Using the equation of motion: s = ut + (1/2)at². Here, u = 0, a = 2 m/s², t = 5 s. So, s = 0 + (1/2)(2)(5²) = 25 m.
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Q7. A 50 kg object is pushed with a force of 200 N. What is the frictional force if the object moves with constant velocity? (2023)
Solution:
If the object moves with constant velocity, the frictional force equals the applied force, which is 200 N.
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Q8. If a 10 kg object is dropped from a height of 20 m, what is the velocity just before it hits the ground? (Assume g = 10 m/s²) (2019)
Solution:
Using v² = u² + 2gh, v = √(0 + 2 × 10 m/s² × 20 m) = √400 = 20 m/s.
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Q9. A 1 kg object is dropped from a height. What is its velocity just before it hits the ground (neglect air resistance)? (2020)
Solution:
Using v² = u² + 2gh, v = √(0 + 2 × 9.8 m/s² × h). For h = 20 m, v = √(392) = 20 m/s.
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Q10. A cyclist accelerates from rest to a speed of 10 m/s in 5 seconds. What is the cyclist's acceleration? (2021)
Solution:
Acceleration a = (final velocity - initial velocity) / time = (10 m/s - 0) / 5 s = 2 m/s².
