A 60 kg object is to be accelerated vertically upwards at 10 m/s2. Calculate the upward force needed to achieve this. (g = 10 m/s2)

The mass of the object is $m = 60$ kg.
The desired acceleration is $a = 10$ m s$^{-2}$ vertically upwards.
The acceleration due to gravity is $g = 10$ m s$^{-2}$.

There are two main forces acting on the mass:

• The gravitational force (weight) acting downwards: $F_g = mg$.
• The applied force acting upwards: $F_{applied}$.

The net force ($F_{net}$) required to accelerate the mass upwards is the sum of the applied force and the gravitational force (considering direction). Since the acceleration is upwards, the applied force must overcome gravity.

Also, according to Newton's Second Law, $F_{net} = ma$.
So,

Rearrange the equation to solve for $F_{applied}$:

Substitute the values:

The force that has to be exerted is 1200 N.

The final answer is $\text{B) } 1,200\text{N}$.