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.
Step 1 of 9 Momentum is the product of mass and velocity, Initial momentum of object,= mu Step 2 of 9 by putting the value in equation above equation, =100 X 5 Step 3 - Multiply 100 and 5, Initial momentum of object , =500 kgm/s Step 4 - Final momentum of object is, Final momentum of object, =mv Step 5 of 9 By putting the value in above equation, =100 X 8 Step 6 of 9 Multiply 100 and 8, Final momentum of object, =800 kg m/s Step 7 of 9 Force exerted on object is the rate of change of momentum, Force exerted on the object, F = mv - mu / t = m (v - u) /t Step 8 of 9 By putting the value in above equation, F = 800-500/6 Step 9of 9 Subtract 500 from 800 and divide by 6, F=300/6 F =50 N Final Answer Initial momentum of the object is 500 kg m/s. Final momentum of the object is 800 kg m/s. Force exerted on the object is 50 N.
