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Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is?
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Force time graph of a body is as shown in figure the body starts with ...
Understanding the Force-Time Graph
The force-time graph represents the force applied to a body over a specific time interval. The area under this graph provides valuable information regarding the change in momentum of the body.
Initial Conditions
- The body starts with an initial velocity of 10 m/s at t = 0.
- We need to calculate the change in momentum from t = 0 to t = 20 seconds.
Calculating Change in Momentum
- Momentum (p) is defined as the product of mass (m) and velocity (v):
p = m * v.
- Change in Momentum (Δp) is calculated as:
Δp = p_final - p_initial.
Finding the Area Under the Graph
- The area under the force-time graph from t = 0 to t = 20s gives the impulse (J), which equals the change in momentum:
J = Δp.
- If the graph shows a rectangular or triangular shape, calculate the area accordingly:
- For a rectangle: Area = width * height.
- For a triangle: Area = (1/2) * base * height.
Assuming a Constant Force
- Suppose the force is constant or can be broken into segments:
- Calculate the total area under the graph to find the impulse.
- If the force varies, sum the areas of each section.
Final Calculation
- Add the change in momentum to the initial momentum:
Δp = Area under the graph.
- Thus, the final momentum can be expressed as:
p_final = p_initial + Δp.
This detailed approach allows you to determine the change in momentum accurately by interpreting the force-time graph effectively.
The force-time graph represents the force applied to a body over a specific time interval. The area under this graph provides valuable information regarding the change in momentum of the body.
Initial Conditions
- The body starts with an initial velocity of 10 m/s at t = 0.
- We need to calculate the change in momentum from t = 0 to t = 20 seconds.
Calculating Change in Momentum
- Momentum (p) is defined as the product of mass (m) and velocity (v):
p = m * v.
- Change in Momentum (Δp) is calculated as:
Δp = p_final - p_initial.
Finding the Area Under the Graph
- The area under the force-time graph from t = 0 to t = 20s gives the impulse (J), which equals the change in momentum:
J = Δp.
- If the graph shows a rectangular or triangular shape, calculate the area accordingly:
- For a rectangle: Area = width * height.
- For a triangle: Area = (1/2) * base * height.
Assuming a Constant Force
- Suppose the force is constant or can be broken into segments:
- Calculate the total area under the graph to find the impulse.
- If the force varies, sum the areas of each section.
Final Calculation
- Add the change in momentum to the initial momentum:
Δp = Area under the graph.
- Thus, the final momentum can be expressed as:
p_final = p_initial + Δp.
This detailed approach allows you to determine the change in momentum accurately by interpreting the force-time graph effectively.
Community Answer
Force time graph of a body is as shown in figure the body starts with ...
10m where m is mass of body
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Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is?
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Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is?.
Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Force time graph of a body is as shown in figure the body starts with initial velocity 10m/s at t=0. Change in momentum of the body in interval 0 to 20 s is?.
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