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A body of mass 2.5 kg is placed on a smooth inclined plane with an angle of inclination of 65°. If the initial velocity of the body is 4 m/s, calculate its velocity after 2 seconds.
Physics
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Step-by-step solution
3 stepsIdentify the given values.
The mass of the body .
The angle of inclination .
The initial velocity .
The time .
The acceleration due to gravity .Calculate the acceleration of the body down the smooth inclined plane.
For a smooth inclined plane, the acceleration is given by the component of gravity acting along the incline.
Substitute the values:
Use the kinematic equation to find the final velocity.
The final velocity can be found using the equation:
Substitute the initial velocity, acceleration, and time:
Rounding to one decimal place:
The velocity after 2 seconds is .
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