Class 11 Exam > Class 11 Questions > A cart loaded with water having mass m=1000 k...
Start Learning for Free
A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be??
Most Upvoted Answer
A cart loaded with water having mass m=1000 kg moves on a straight hor...
Introduction
To determine the velocity of the cart after 300 seconds, we can apply the principles of momentum and Newton's second law of motion. The cart starts with an initial mass and experiences a continuous loss of mass due to the spillage of water.
Given Data
- Initial mass of the cart (m): 1000 kg
- Force applied (F): 100 N
- Rate of water spillage (dm/dt): 0.1 kg/s
- Time (t): 300 s
Calculating the Mass Loss
- The total mass lost after 300 seconds:
- Mass lost = Rate of spillage × Time
- Mass lost = 0.1 kg/s × 300 s = 30 kg
- Remaining mass of the cart after 300 seconds:
- Remaining mass = Initial mass - Mass lost
- Remaining mass = 1000 kg - 30 kg = 970 kg
Calculating Acceleration
Using Newton's second law (F = ma):
- The net force acting on the cart after the mass loss:
- F = 100 N (constant)
- m = 970 kg (remaining mass)
- Acceleration (a):
- a = F/m = 100 N / 970 kg ≈ 0.1031 m/s²
Calculating Final Velocity
Using the formula for velocity (v = u + at), where u is the initial velocity:
- Initial velocity (u) = 0 m/s (starts from rest)
- Time (t) = 300 s
- Final velocity (v):
- v = 0 + (0.1031 m/s² × 300 s) = 30.93 m/s
Conclusion
The velocity of the cart after 300 seconds will be approximately 30.93 m/s.
To determine the velocity of the cart after 300 seconds, we can apply the principles of momentum and Newton's second law of motion. The cart starts with an initial mass and experiences a continuous loss of mass due to the spillage of water.
Given Data
- Initial mass of the cart (m): 1000 kg
- Force applied (F): 100 N
- Rate of water spillage (dm/dt): 0.1 kg/s
- Time (t): 300 s
Calculating the Mass Loss
- The total mass lost after 300 seconds:
- Mass lost = Rate of spillage × Time
- Mass lost = 0.1 kg/s × 300 s = 30 kg
- Remaining mass of the cart after 300 seconds:
- Remaining mass = Initial mass - Mass lost
- Remaining mass = 1000 kg - 30 kg = 970 kg
Calculating Acceleration
Using Newton's second law (F = ma):
- The net force acting on the cart after the mass loss:
- F = 100 N (constant)
- m = 970 kg (remaining mass)
- Acceleration (a):
- a = F/m = 100 N / 970 kg ≈ 0.1031 m/s²
Calculating Final Velocity
Using the formula for velocity (v = u + at), where u is the initial velocity:
- Initial velocity (u) = 0 m/s (starts from rest)
- Time (t) = 300 s
- Final velocity (v):
- v = 0 + (0.1031 m/s² × 300 s) = 30.93 m/s
Conclusion
The velocity of the cart after 300 seconds will be approximately 30.93 m/s.
Community Answer
A cart loaded with water having mass m=1000 kg moves on a straight hor...
(1k/.97k)/3O=31 nearest value
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be??
Question Description
A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be??.
A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be??.
Solutions for A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? defined & explained in the simplest way possible. Besides giving the explanation of
A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be??, a detailed solution for A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? has been provided alongside types of A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? theory, EduRev gives you an
ample number of questions to practice A cart loaded with water having mass m=1000 kg moves on a straight horizontal road starting from rest under the force of 100N.the water spills from the small hole at the bottom at the rate of 0.1kg/s.the velocity of cart after 300s will be?? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup