Body of mass 10 kg is at rest on a horizontal surface. A force of magnitude 10 N is applied to the body for 10 s. What is the final speed of the body?
force = change in momentum/time
10 N = 10 kg *V / 10 s
V = 10 m/s
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or
F = m a
10 = 10 a
a = 1 m/s^2
v = a t
v = 1*10 = 10 m/s
To find the final speed of the body, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the acceleration of the body. We can use the equation:
Force = Mass * Acceleration
Rearranging the equation, we get:
Acceleration = Force / Mass
Plugging in the given values:
Acceleration = 10 N / 10 kg = 1 m/s²
Now that we have the acceleration, we can use the kinematic equation:
Final Velocity = Initial Velocity + (Acceleration * Time)
Since the body is initially at rest, the initial velocity is 0 m/s. Plugging in the values:
Final Velocity = 0 m/s + (1 m/s² * 10 s) = 10 m/s
Therefore, the final speed of the body is 10 m/s.