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A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is?
Most Upvoted Answer
A body of mass 5kg starts from the origin with an initial velocity u=3...
Explanation:
Given, mass of the body, m= 5 kg, initial velocity, u= 30i + 40j m/s and constant force, F= -(i+5j) N.
To find the time in which the y_component of velocity becomes zero, we need to determine the acceleration of the body and then use the kinematic equation of motion to find the time.
Step 1: Find the acceleration of the body
Using Newton's second law of motion, F= ma, we can find the acceleration of the body.
F= -i - 5j N
m= 5 kg
a= F/m
= (-i - 5j)/5
= -0.2i - j
Therefore, the acceleration of the body is (-0.2i - j) m/s².
Step 2: Use kinematic equation of motion to find the time
The y_component of the velocity becomes zero when the body reaches the maximum height. Therefore, we can use the kinematic equation of motion for vertical motion to find the time taken by the body to reach the maximum height.
v = u + at
0 = 40 - t(1)
t = 40 s
Therefore, the time taken by the body to reach the maximum height is 40 seconds.
Conclusion:
Hence, the time in which the y_component of the velocity becomes zero is 40 seconds.
Given, mass of the body, m= 5 kg, initial velocity, u= 30i + 40j m/s and constant force, F= -(i+5j) N.
To find the time in which the y_component of velocity becomes zero, we need to determine the acceleration of the body and then use the kinematic equation of motion to find the time.
Step 1: Find the acceleration of the body
Using Newton's second law of motion, F= ma, we can find the acceleration of the body.
F= -i - 5j N
m= 5 kg
a= F/m
= (-i - 5j)/5
= -0.2i - j
Therefore, the acceleration of the body is (-0.2i - j) m/s².
Step 2: Use kinematic equation of motion to find the time
The y_component of the velocity becomes zero when the body reaches the maximum height. Therefore, we can use the kinematic equation of motion for vertical motion to find the time taken by the body to reach the maximum height.
v = u + at
0 = 40 - t(1)
t = 40 s
Therefore, the time taken by the body to reach the maximum height is 40 seconds.
Conclusion:
Hence, the time in which the y_component of the velocity becomes zero is 40 seconds.
Community Answer
A body of mass 5kg starts from the origin with an initial velocity u=3...
From the given force equation , calculate the acceleration ,
a =F/m = -(i + 5j)/5 = -i/5 - j .
Now by the equation of motion , v=u +at ----> (1)
Consider only the y components ,..hence vy =0 , uy =40 and
ay = - 1 and sub. in (1), 0 =40 +(-1)t -----> t =40s
a =F/m = -(i + 5j)/5 = -i/5 - j .
Now by the equation of motion , v=u +at ----> (1)
Consider only the y components ,..hence vy =0 , uy =40 and
ay = - 1 and sub. in (1), 0 =40 +(-1)t -----> t =40s
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A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is?
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A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is?.
A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 5kg starts from the origin with an initial velocity u=30i 40j m/s. If a constant force F=-(i 5j)N acts on the body, the time in which the y_component of the velocity becomes zero is?.
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