Question

on earth a block is placed on a frictionless table. When a 50 North horizontal force is applied to the block, it accelerates at 4.0 m / s squared. Supposed to block and table are set up on the moon. When a horizontal force of 25 n is applied to the block what is the acceleration

Answer 1

As per Newton's II law we know that

$F = ma$

here

F = applied unbalanced force

m = mass of object

a = acceleration of object

now it is given that force F = 50 N North applied on block on earth due to which block will accelerate by 4 m/s^2

so here from above equation

$50 = m* 4$

$m = \frac{50}{4} = 12.5 kg$

Now we took another situation where block is placed on surface of moon and again force F = 25 N is applied on the block

So we will again use Newton's II law

$F = ma$

$25 = 12.5 * a$

$a = \frac{25}{12.5}$

$a = 2 m/s^2$

so block will accelerate on moon by acceleration 2 m/s^2