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A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will be
- a)zero
- b)E/2
- c)2E
- d)E
Correct answer is option 'B'. Can you explain this answer?
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A ball is projected with kinetic energy E at an angle of 45º to t...
° to the horizontal. Ignoring air resistance, the maximum height the ball reaches is equal to E/g, where g is the acceleration due to gravity (9.8 m/s²). This can be found using the conservation of energy, where the initial kinetic energy is converted into potential energy at the maximum height.
To find the horizontal range of the ball, we can use the formula:
range = (2 * v₀² * sinθ * cosθ) / g
where v₀ is the initial velocity, θ is the angle of projection (45°), and g is the acceleration due to gravity.
Since the initial velocity is related to the kinetic energy by:
E = (1/2) * m * v₀²
where m is the mass of the ball, we can solve for v₀:
v₀ = sqrt(2E/m)
Substituting this into the range formula, we get:
range = (2 * sqrt(2E/m)² * sin45° * cos45°) / g
range = (4E/m * 1/2 * 1/2) / g
range = E/mg
Therefore, the horizontal range of the ball is equal to E/mg.
To find the horizontal range of the ball, we can use the formula:
range = (2 * v₀² * sinθ * cosθ) / g
where v₀ is the initial velocity, θ is the angle of projection (45°), and g is the acceleration due to gravity.
Since the initial velocity is related to the kinetic energy by:
E = (1/2) * m * v₀²
where m is the mass of the ball, we can solve for v₀:
v₀ = sqrt(2E/m)
Substituting this into the range formula, we get:
range = (2 * sqrt(2E/m)² * sin45° * cos45°) / g
range = (4E/m * 1/2 * 1/2) / g
range = E/mg
Therefore, the horizontal range of the ball is equal to E/mg.
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Community Answer
A ball is projected with kinetic energy E at an angle of 45º to t...
It is a oblique projectile.(from ground)
when ball is projected at angle 45 to horizontal then (it is 2D study so for ours accessibility we study 2D in 2 one D i'e one component is horizontal and other is vertical)
so, it has two type of velocity first one is horizontal velocity and other is vertical velocity.
horizontal velocity is remain constant but vertical velocity first decrease to 0 (at highest point) then increase .
So. (speed, KE, linear momentum) is highest at point of projection and when it strikes the ground. And lowest at highest point.
when ball is projected at angle 45 to horizontal then (it is 2D study so for ours accessibility we study 2D in 2 one D i'e one component is horizontal and other is vertical)
so, it has two type of velocity first one is horizontal velocity and other is vertical velocity.
horizontal velocity is remain constant but vertical velocity first decrease to 0 (at highest point) then increase .
So. (speed, KE, linear momentum) is highest at point of projection and when it strikes the ground. And lowest at highest point.
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A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer?
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A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer?.
A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will bea)zerob)E/2c)2Ed)ECorrect answer is option 'B'. Can you explain this answer?.
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