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A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box?
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A 20 kg box is pulled up on a slope with a constant speed to a distanc...
Calculating the Force Exerted on a Box
Given:
- Mass of the box (m) = 20 kg
- Distance traveled along the slope (d) = 4 m
- Height gained (h) = 2 m
- Speed of the box (v) = constant
Formula:
The force exerted on the box can be calculated using the formula:
F = mg(sinθ + μcosθ)
where,
- m = mass of the box
- g = acceleration due to gravity (9.8 m/s²)
- θ = angle of the slope with the horizontal
- μ = coefficient of friction between the box and the slope
Calculations:
Given,
- m = 20 kg
- d = 4 m
- h = 2 m
To calculate θ, we can use the formula:
sinθ = h/d
sinθ = 2/4
sinθ = 0.5
θ = sin⁻¹(0.5)
θ ≈ 30°
Assuming that the coefficient of friction between the box and the slope is negligible (μ = 0), the force exerted on the box can be calculated as:
F = mg(sinθ)
F = 20 x 9.8 x 0.5
F = 98 N
Therefore, the force exerted on the box is 98 N.
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A 20 kg box is pulled up on a slope with a constant speed to a distanc...
What is the time required?
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A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box?
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A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box? 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 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box?.
A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box? 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 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kg box is pulled up on a slope with a constant speed to a distance of 4 maths raising it to a height of 2 mts above its starting point, the force F that exerted on the box?.
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