Calculate the magnitude of the force applied on a stationary body of mass 2 kg for 1 second, if the body travels a distance of 10 meters in 4 seconds in the direction of force.
Answer (1)
27th Jun, 2021
As the body is stationary then the initial velocity u=0.
Now from kinematics we know, Displacement (S) = ut+0.5at^2
As u=0 then S=0.5at^2 -----------(i)
Now its given S=10m , t=4s ., substituting in equation (i) we get,
10 = 0.5*a*4^2 => a = 10*2/16 = 5/4 m/s^2
Thus we get the acceleration to be 5/4 m/s^2.
Now we know from the Equation of Motion : Force (F) = mass(m)*acceleration(a)
Thus the required Force, F = 2kg * 5/4 m/s^2 = 2.5 kgm/s^2=2.5N
I hope this answer helps. All the very best for your future endeavors!
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