Question

Please solve the given problem

The solution is given below but there is no option for this is this correct




The downward acceleration due to gravity is 10 m/s2

Therefore to have a resultant upward acceleration of 2 m/s2

there must be an upward acceleration of 12 m/s2 .

Mass of the body = 20/10 = 2 kg.

Force required is mass*acceleration = 2⋅12=24N.​

Answer 1

F = M a is Newton"s Second Law

W = M g is the weight of the mass (W = 2 kg * 10 m/s) = 20 Newtons

g provides a downward acceleration of 10 m/s^2

F = M a = (12 - 10) m/s^2 * 2 kg = 4 kg m/s^2

The example that you gave shows both accelerations in the same direction which is not correct. your example would show the reading on a scale, if the person was on a scale - 10 m/s^2 + 2 m/s^2 = 12 m/s^2 which is offset by the person's weight of 10 m/s^2 in the other direction.

Draw a diagram showing the forces acting on mass M and the resulting acceleration a.