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A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.?
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A truck starts from rest and rolls down a hill with a constant acceler...
Calculating Acceleration
To find the acceleration of the truck, we can use the formula for distance traveled under constant acceleration:
- Distance (s) = Initial Velocity (u) × Time (t) + 0.5 × Acceleration (a) × Time²
Given:
- Initial Velocity (u) = 0 (truck starts from rest)
- Distance (s) = 750 m
- Time (t) = 2 min = 120 seconds
Now, substituting the values into the formula:
- 750 = 0 × 120 + 0.5 × a × (120)²
This simplifies to:
- 750 = 0.5 × a × 14400
Now, rearranging for acceleration (a):
- a = (750 × 2) / 14400
- a = 1500 / 14400
- a = 0.1042 m/s² (approximately)
Calculating the Force
Next, we need to find the force acting on the truck. We can use Newton's second law of motion:
- Force (F) = Mass (m) × Acceleration (a)
Given:
- Mass (m) = 18 tonnes = 18000 kg
- Acceleration (a) = 0.1042 m/s² (from above calculation)
Now substituting the values into the formula:
- F = 18000 kg × 0.1042 m/s²
- F = 1875.6 N (approximately)
Summary
- The truck's acceleration is approximately 0.1042 m/s².
- The force acting on the truck is approximately 1875.6 N.
This analysis helps in understanding the motion of the truck as it rolls down the hill under the influence of gravitational force.
To find the acceleration of the truck, we can use the formula for distance traveled under constant acceleration:
- Distance (s) = Initial Velocity (u) × Time (t) + 0.5 × Acceleration (a) × Time²
Given:
- Initial Velocity (u) = 0 (truck starts from rest)
- Distance (s) = 750 m
- Time (t) = 2 min = 120 seconds
Now, substituting the values into the formula:
- 750 = 0 × 120 + 0.5 × a × (120)²
This simplifies to:
- 750 = 0.5 × a × 14400
Now, rearranging for acceleration (a):
- a = (750 × 2) / 14400
- a = 1500 / 14400
- a = 0.1042 m/s² (approximately)
Calculating the Force
Next, we need to find the force acting on the truck. We can use Newton's second law of motion:
- Force (F) = Mass (m) × Acceleration (a)
Given:
- Mass (m) = 18 tonnes = 18000 kg
- Acceleration (a) = 0.1042 m/s² (from above calculation)
Now substituting the values into the formula:
- F = 18000 kg × 0.1042 m/s²
- F = 1875.6 N (approximately)
Summary
- The truck's acceleration is approximately 0.1042 m/s².
- The force acting on the truck is approximately 1875.6 N.
This analysis helps in understanding the motion of the truck as it rolls down the hill under the influence of gravitational force.
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A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.?
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A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.? 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 A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.?.
A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.? 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 A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 750m in 2 min . Find its acceleration. Also find the force acting on it if it's mass is 18 tonnes.?.
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