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A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.?
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A body is acted upon by a force of 25 n acqires of 2.5m per second squ...
Given:
Force (F) = 25 N
Acceleration (a) = 2.5 m/s2
Distance (d) = Force
Formula:
Work (W) = Force x Distance
Change in Kinetic Energy (ΔK.E) = Work (W)
Solution:
Given, Distance (d) = Force = 25 N
Work (W) = Force x Distance = 25 N x 25 N = 625 J
Change in Kinetic Energy (ΔK.E) = Work (W) = 625 J
Now, to find the kinetic energy acquired by the body, we need to use the following formula:
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2
But, we don't have the mass or velocity of the body. So, we need to use another formula:
Acceleration (a) = Force / Mass
Mass (m) = Force / Acceleration
Substituting the given values, we get:
Mass (m) = 25 N / 2.5 m/s2 = 10 kg
Now, we can use the formula for Kinetic Energy (K.E):
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2
As the body starts from rest, the initial velocity (u) is 0 m/s.
Final Velocity (v) = Initial Velocity (u) + Acceleration (a) x Time (t)
Time taken (t) = √(2 x Distance / Acceleration) = √(2 x 25 / 2.5) = √20 = 2.24 s
Final Velocity (v) = 0 + 2.5 x 2.24 = 5.6 m/s
Substituting the values in the formula for Kinetic Energy (K.E), we get:
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2 = 1/2 x 10 kg x (5.6 m/s)2 = 156.8 J
Therefore, the kinetic energy acquired by the body is 156.8 J.
Force (F) = 25 N
Acceleration (a) = 2.5 m/s2
Distance (d) = Force
Formula:
Work (W) = Force x Distance
Change in Kinetic Energy (ΔK.E) = Work (W)
Solution:
Given, Distance (d) = Force = 25 N
Work (W) = Force x Distance = 25 N x 25 N = 625 J
Change in Kinetic Energy (ΔK.E) = Work (W) = 625 J
Now, to find the kinetic energy acquired by the body, we need to use the following formula:
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2
But, we don't have the mass or velocity of the body. So, we need to use another formula:
Acceleration (a) = Force / Mass
Mass (m) = Force / Acceleration
Substituting the given values, we get:
Mass (m) = 25 N / 2.5 m/s2 = 10 kg
Now, we can use the formula for Kinetic Energy (K.E):
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2
As the body starts from rest, the initial velocity (u) is 0 m/s.
Final Velocity (v) = Initial Velocity (u) + Acceleration (a) x Time (t)
Time taken (t) = √(2 x Distance / Acceleration) = √(2 x 25 / 2.5) = √20 = 2.24 s
Final Velocity (v) = 0 + 2.5 x 2.24 = 5.6 m/s
Substituting the values in the formula for Kinetic Energy (K.E), we get:
Kinetic Energy (K.E) = 1/2 x Mass x Velocity2 = 1/2 x 10 kg x (5.6 m/s)2 = 156.8 J
Therefore, the kinetic energy acquired by the body is 156.8 J.
Community Answer
A body is acted upon by a force of 25 n acqires of 2.5m per second squ...
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A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.?
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A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.?.
A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is acted upon by a force of 25 n acqires of 2.5m per second square and covers a distance of the force. If the body starts from rest, the kinetic energy acquired by it is? Please help solve with explanation.?.
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