Answer:
The mass of the object is 0.2 kg
Explanation:
The magnitude of the applied force = 2.0 N
The duration of application of the force = 0.1 second
The increase in velocity given to the body by the force = 1.0 m/s
From the equation of motion under acceleration, we have;
v = u + a·t
Therefore;
a = (v - u)/t
Where;
v = The final velocity
u = The initial velocity
t = The time taken for the change in velocity = 0.1 s
Given that the change in velocity = 1 m/s, we have;
v - u = 1 m/s
∴ a = (v - u)/t = 1 m/s/(0.1 s) = 10 m/s²
The acceleration, a = 10 m/s²
The equation for the applied force, F is F = Mass, m × Acceleration, a
Therefore, when the applied force, F = 2.0 N, and the acceleration, a is a = 10 m/s², we have;
F = Mass, m × Acceleration, a
2.0 N = Mass of the object × 10 m/s²
∴ Mass of the object = 2.0 N/10 m/s² = 0.2 kg
The mass of the object = 0.2 kg.
