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The motion of particle of mass m is given by y = ut + 1/2gt2. The force acting on the particle is
- a)mg
- b)mu/t
- c)2mg
- d)2mu/t
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The motion of particle of mass m is given by y = ut + 1/2gt2.The force...
Given:
The motion of a particle of mass m is given by the equation y = ut - 1/2gt^2, where y is the displacement of the particle, u is the initial velocity of the particle, g is the acceleration due to gravity, and t is the time.
To find:
The force acting on the particle.
Solution:
The force acting on a particle is given by Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma).
Step 1: Find the acceleration of the particle.
Acceleration is the rate of change of velocity. In this case, the particle is moving vertically under the influence of gravity, so the acceleration is equal to the acceleration due to gravity, g.
Step 2: Find the velocity of the particle.
The velocity of the particle can be found by taking the derivative of the displacement equation with respect to time.
dy/dt = u - gt
Step 3: Find the force acting on the particle.
The force acting on the particle can be found by multiplying the mass of the particle by its acceleration.
F = m * g
Explanation:
The given equation y = ut - 1/2gt^2 represents the displacement of the particle as a function of time. By differentiating this equation with respect to time, we can find the velocity of the particle. The acceleration of the particle is given by the acceleration due to gravity, which is constant. Finally, by multiplying the mass of the particle by its acceleration, we can find the force acting on the particle.
Answer:
The force acting on the particle is m * g, which is option 'A'.
The motion of a particle of mass m is given by the equation y = ut - 1/2gt^2, where y is the displacement of the particle, u is the initial velocity of the particle, g is the acceleration due to gravity, and t is the time.
To find:
The force acting on the particle.
Solution:
The force acting on a particle is given by Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma).
Step 1: Find the acceleration of the particle.
Acceleration is the rate of change of velocity. In this case, the particle is moving vertically under the influence of gravity, so the acceleration is equal to the acceleration due to gravity, g.
Step 2: Find the velocity of the particle.
The velocity of the particle can be found by taking the derivative of the displacement equation with respect to time.
dy/dt = u - gt
Step 3: Find the force acting on the particle.
The force acting on the particle can be found by multiplying the mass of the particle by its acceleration.
F = m * g
Explanation:
The given equation y = ut - 1/2gt^2 represents the displacement of the particle as a function of time. By differentiating this equation with respect to time, we can find the velocity of the particle. The acceleration of the particle is given by the acceleration due to gravity, which is constant. Finally, by multiplying the mass of the particle by its acceleration, we can find the force acting on the particle.
Answer:
The force acting on the particle is m * g, which is option 'A'.
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Community Answer
The motion of particle of mass m is given by y = ut + 1/2gt2.The force...
Here y = ut + 1/2gt2
∴ v = dt/dy = u + gt
Acceleration, a = dt/dv = g
So, the net force acting on the particle is, F = ma = mg
∴ v = dt/dy = u + gt
Acceleration, a = dt/dv = g
So, the net force acting on the particle is, F = ma = mg
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