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An object of mass 100 kg is accelerated uniformly from a veloc... - Science
An object of mass 100 kg is accelerated uniformly from a velocity of 5 m s⁻¹ to 8 m s⁻¹ in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.
The calculations:
Initial momentum of the object:
Mass (m) = 100 kg
Initial velocity (u) = 5 m/s
Initial momentum = m * u = 100 kg * 5 m/s = 500 kg m/s
Final momentum of the object:
Mass (m) = 100 kg
Final velocity (v) = 8 m/s
Final momentum = m * v = 100 kg * 8 m/s = 800 kg m/s
Magnitude of the force exerted on the object:
First, calculate the acceleration (a):
a = (v - u) / t
a = (8 m/s - 5 m/s) / 6 s
a = 3 m/s / 6 s = 0.5 m/s²
Now, calculate the force (F) using F = ma:
F = 100 kg * 0.5 m/s² = 50 N