) a block is on a frictionless table, on earth. the block accelerates at 5.3 m/s 2 when a 10 n horizontal force is applied to it. the block and table are set up on the moon. the acceleration due to gravity at the surface of the moon is 1.62 m/s 2. a horizontal force of 5 n is applied to the block when it is on the moon. the acceleration imparted to the block is closest to: 3)

a.3.4 m

Respuesta :

When horizontal force is applied on block then as per Newton's II law we will have

[tex]F = ma[/tex]

[tex]10 = m(5.3)[/tex]

so here mass will be

[tex]m = 1.89 kg[/tex]

now on same block F = 5 N is applied on surface of Moon

so on surface on moon we will have

[tex]F = ma[/tex]

[tex]5 = 1.89 a[/tex]

[tex]a = 2.65 m/s^2[/tex]

so above is acceleration on surface of moon


The rate of change of the velocity is known as the acceleration. The acceleration imparted to the block is 2.65 m/sec².

What is acceleration?

The rate of change of the velocity is known as the acceleration. It is a time-based quantity. Its unit is m/sec².The acceleration is also given by the ratio of force to the mass.

The given data in the problem is;

a is the acceleration of the block=  5.3 m/s²

F is the horizontal force = 10 N

a' is the acceleration due to gravity at the surface of the moon = 1.62

The value of the mass is found by;

[tex]\rm m = \frac{F}{a} \\\\ \rm m = \frac{10}{5.3} \\\\ \rm m =1.89[/tex]

The value of the acceleration is found by;

[tex]\rm F=ma \\\\ \rm a=\frac{F}{m} \\\\ \rm a=\frac{5}{1.89} \\\\ \rm a=2.65\ m/sec^2[/tex]

Hence the acceleration imparted to the block is 2.65 m/sec².

To learn more about the acceleration refer to the link;

https://brainly.com/question/12134554