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An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object?
Most Upvoted Answer
An object of mass 100 kg is accelerated uniformly from a velocity of 5...
M=100kg, u=5m/s, v=28m/s ,t=6second
Initial momentum =mu
=100×5=500kgm/s
Final momentum=mv
=100×28=2800kgm/s
Acceleration=v-u/t
=28-5/6=3.833
Force=ma
=100×3.833 =383.33N
Initial momentum =mu
=100×5=500kgm/s
Final momentum=mv
=100×28=2800kgm/s
Acceleration=v-u/t
=28-5/6=3.833
Force=ma
=100×3.833 =383.33N
Community Answer
An object of mass 100 kg is accelerated uniformly from a velocity of 5...
Initial and Final Momentum:
To calculate the initial and final momentum of the object, we can use the formula:
Momentum (p) = Mass (m) × Velocity (v)
Given:
Mass (m) = 100 kg
Initial velocity (u) = 5 m/s
Final velocity (v) = 28 m/s
Time (t) = 6 seconds
Initial momentum:
The initial momentum (p₁) can be calculated using the initial velocity (u):
p₁ = m × u
= 100 kg × 5 m/s
= 500 kg·m/s
Therefore, the initial momentum of the object is 500 kg·m/s.
Final momentum:
The final momentum (p₂) can be calculated using the final velocity (v):
p₂ = m × v
= 100 kg × 28 m/s
= 2800 kg·m/s
Therefore, the final momentum of the object is 2800 kg·m/s.
Magnitude of Force:
To find the magnitude of the force exerted on the object, we can use the equation:
Force (F) = Change in Momentum (Δp) / Time (t)
Given:
Change in momentum (Δp) = Final momentum (p₂) - Initial momentum (p₁)
= 2800 kg·m/s - 500 kg·m/s
= 2300 kg·m/s
Substituting the values into the equation:
F = Δp / t
= 2300 kg·m/s / 6 s
= 383.33 N
Therefore, the magnitude of the force exerted on the object is 383.33 N.
Summary:
- The initial momentum of the object is 500 kg·m/s.
- The final momentum of the object is 2800 kg·m/s.
- The magnitude of the force exerted on the object is 383.33 N.
To calculate the initial and final momentum of the object, we can use the formula:
Momentum (p) = Mass (m) × Velocity (v)
Given:
Mass (m) = 100 kg
Initial velocity (u) = 5 m/s
Final velocity (v) = 28 m/s
Time (t) = 6 seconds
Initial momentum:
The initial momentum (p₁) can be calculated using the initial velocity (u):
p₁ = m × u
= 100 kg × 5 m/s
= 500 kg·m/s
Therefore, the initial momentum of the object is 500 kg·m/s.
Final momentum:
The final momentum (p₂) can be calculated using the final velocity (v):
p₂ = m × v
= 100 kg × 28 m/s
= 2800 kg·m/s
Therefore, the final momentum of the object is 2800 kg·m/s.
Magnitude of Force:
To find the magnitude of the force exerted on the object, we can use the equation:
Force (F) = Change in Momentum (Δp) / Time (t)
Given:
Change in momentum (Δp) = Final momentum (p₂) - Initial momentum (p₁)
= 2800 kg·m/s - 500 kg·m/s
= 2300 kg·m/s
Substituting the values into the equation:
F = Δp / t
= 2300 kg·m/s / 6 s
= 383.33 N
Therefore, the magnitude of the force exerted on the object is 383.33 N.
Summary:
- The initial momentum of the object is 500 kg·m/s.
- The final momentum of the object is 2800 kg·m/s.
- The magnitude of the force exerted on the object is 383.33 N.
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An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object?
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An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object?.
An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object of mass 100 kg is accelerated uniformly from a velocity of 5 M per second 28 M per second in 6 second calculate the initial and final momentum of the object also find the magnitude of the force exerted on the object?.
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