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A cart loaded with sand having total mass mo = 1800 kg moves on a straight horizontal road starting from rest under the action of a force of 120N .the sand spills through a small hole in the bottom at a rate of k= 0.5 kg/s . What will be the velocity of the cart after 20 minutes 1)120 m/ s 2) 60 m/ a 3) 40 m/ s 4) 80 m/ s?
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To find the velocity of the cart after 20 minutes, we need to calculate the net force acting on the cart and then use Newton's second law of motion.

1. Calculate the mass of sand spilled after 20 minutes:
- Time = 20 minutes = 20 * 60 seconds = 1200 seconds
- Mass of sand spilled = rate of spillage * time = k * t
- Mass of sand spilled = 0.5 kg/s * 1200 s = 600 kg

2. Calculate the mass of the cart at any given time:
- Mass of the cart = initial mass - mass of spilled sand
- Mass of the cart = 1800 kg - 600 kg = 1200 kg

3. Calculate the net force on the cart:
- Net force = applied force - force due to spilled sand
- Force due to spilled sand = rate of spillage * g, where g is the acceleration due to gravity
- Force due to spilled sand = 0.5 kg/s * 9.8 m/s^2 = 4.9 N
- Net force = 120 N - 4.9 N = 115.1 N

4. Apply Newton's second law of motion:
- Net force = mass * acceleration
- Acceleration = net force / mass
- Acceleration = 115.1 N / 1200 kg = 0.09583 m/s^2

5. Calculate the final velocity after 20 minutes:
- Time = 1200 seconds
- Initial velocity = 0 m/s (starting from rest)
- Final velocity = initial velocity + (acceleration * time)
- Final velocity = 0 m/s + (0.09583 m/s^2 * 1200 s) = 115 m/s

Therefore, the velocity of the cart after 20 minutes is approximately 115 m/s. None of the given options (120 m/s, 60 m/s, 40 m/s, 80 m/s) match the calculated velocity.
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A cart loaded with sand having total mass mo = 1800 kg moves on a straight horizontal road starting from rest under the action of a force of 120N .the sand spills through a small hole in the bottom at a rate of k= 0.5 kg/s . What will be the velocity of the cart after 20 minutes 1)120 m/ s 2) 60 m/ a 3) 40 m/ s 4) 80 m/ s?
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A cart loaded with sand having total mass mo = 1800 kg moves on a straight horizontal road starting from rest under the action of a force of 120N .the sand spills through a small hole in the bottom at a rate of k= 0.5 kg/s . What will be the velocity of the cart after 20 minutes 1)120 m/ s 2) 60 m/ a 3) 40 m/ s 4) 80 m/ s? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cart loaded with sand having total mass mo = 1800 kg moves on a straight horizontal road starting from rest under the action of a force of 120N .the sand spills through a small hole in the bottom at a rate of k= 0.5 kg/s . What will be the velocity of the cart after 20 minutes 1)120 m/ s 2) 60 m/ a 3) 40 m/ s 4) 80 m/ s? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cart loaded with sand having total mass mo = 1800 kg moves on a straight horizontal road starting from rest under the action of a force of 120N .the sand spills through a small hole in the bottom at a rate of k= 0.5 kg/s . What will be the velocity of the cart after 20 minutes 1)120 m/ s 2) 60 m/ a 3) 40 m/ s 4) 80 m/ s?.
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