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A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4kg is at rest on this surface. An impulse of 1.0Ns is applied to the block at time to t = 0 so that it starts moving along the x-axis with a velocity v(t) = v0e–t/τ, where v0 is a constant and τ = 4s. The displacement of the block, in metres, at t = τ is_____________. Take e−1 = 0.37.
    Correct answer is '6.30'. Can you explain this answer?
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    A solid horizontal surface is covered with a thin layer of oil. A rect...
     At time t = 0, due to impulse, the block moves with velocity v0.
    Thus, find v0.

    = 1/0.4
    = 2.5 m/s
    The velocity along the x-axis is calculated as,

    Integrate both sides of the above equation.
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    Most Upvoted Answer
    A solid horizontal surface is covered with a thin layer of oil. A rect...
    To solve this problem, we need to use Newton's second law, which states that the net force acting on an object is equal to the rate of change of its momentum. In this case, the net force is the impulse applied to the block.

    The impulse is given by the equation:

    Impulse = Force * Time

    In this case, the impulse is given as 1.0 Ns and the time is t = 0, so we can rewrite the equation as:

    1.0 Ns = Force * 0

    Since the force is zero, there is no net force acting on the block. This means that the block will continue to stay at rest on the surface.

    Therefore, the velocity of the block is zero at all times.
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    A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4kg is at rest on this surface. An impulse of 1.0Ns is applied to the block at time to t = 0 so that it starts moving along the x-axis with a velocity v(t) = v0e–t/τ, where v0 is a constant and τ= 4s. The displacement of the block, in metres, at t = τ is_____________.Take e−1 = 0.37.Correct answer is '6.30'. Can you explain this answer?
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    A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4kg is at rest on this surface. An impulse of 1.0Ns is applied to the block at time to t = 0 so that it starts moving along the x-axis with a velocity v(t) = v0e–t/τ, where v0 is a constant and τ= 4s. The displacement of the block, in metres, at t = τ is_____________.Take e−1 = 0.37.Correct answer is '6.30'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4kg is at rest on this surface. An impulse of 1.0Ns is applied to the block at time to t = 0 so that it starts moving along the x-axis with a velocity v(t) = v0e–t/τ, where v0 is a constant and τ= 4s. The displacement of the block, in metres, at t = τ is_____________.Take e−1 = 0.37.Correct answer is '6.30'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m = 0.4kg is at rest on this surface. An impulse of 1.0Ns is applied to the block at time to t = 0 so that it starts moving along the x-axis with a velocity v(t) = v0e–t/τ, where v0 is a constant and τ= 4s. The displacement of the block, in metres, at t = τ is_____________.Take e−1 = 0.37.Correct answer is '6.30'. Can you explain this answer?.
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