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A body starts to slide over a horizontal surface with an initial velocity of 0.5 m/s. Due to friction, its velocity decreases at the rate of 0.05m/s (acceleration, -0.05m/s). How much time will it take for the body to stop?
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Calculation of time required for the body to stop
The given problem can be solved using the equation of motion:
v = u + at
- v: Final velocity (0 m/s)
- u: Initial velocity (0.5 m/s)
- a: Acceleration (-0.05 m/s²)
- t: Time taken to stop (to be calculated)
Substituting the values in the equation of motion:
0 = 0.5 - 0.05t
Solving for time:
0.05t = 0.5
t = 10 seconds
Explanation:
The given problem involves the motion of a body on a horizontal surface. The initial velocity of the body is 0.5 m/s, and due to friction, its velocity decreases at a constant rate of 0.05 m/s. The negative sign in the acceleration denotes that the body is slowing down. The question asks to find the time taken by the body to stop.
To solve the problem, we can use the equation of motion that relates the final velocity of the body to its initial velocity, acceleration, and time taken. We know that the final velocity of the body is 0 m/s since it stops. We also know the initial velocity and acceleration of the body. Therefore, we can rearrange the equation of motion to solve for time.
Substituting the given values in the equation of motion, we get:
0 = 0.5 - 0.05t
On simplifying, we get:
0.05t = 0.5
Therefore, the time taken by the body to stop is 10 seconds.
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A body starts to slide over a horizontal surface with an initial velocity of 0.5 m/s. Due to friction, its velocity decreases at the rate of 0.05m/s (acceleration, -0.05m/s). How much time will it take for the body to stop?
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