Question

A force gives a 5.0 kg object an acceleration of 2.0 m/s 2. The same force would give a 20 kg object an acceleration of _____. 0.5 m/s 2 2.0 m/s 2 4.9 m/s 2 8.0 m/s 2

Answer 1

Answer:

The acceleration of the object is 0.5 m/s²

a is correct.

Explanation:

Given that,

Mass of object = 5.0 kg

Acceleration $a = 2.0 m/s^2$

Using newton's second law

The force is the product of the mass of the object and acceleration.

$F = ma$

Put the value of m and a

$F = 5.0\times2.0$

$F = 10\ N$

Now, The same force would give a 20 kg object

So, Using newton's second law again

$F = ma$

The acceleration is

$a =\dfrac{F}{m}$

Put the value of m and F

$a = \dfrac{10}{20}$

$a =0.5 m/s^2$

Hence, The acceleration of the object is 0.5 m/s²

Answer 2

m = 5 kg

a = 2 m/s²

to find the force that accelerates the 4 kg object @ 2 m/s²

F = ma = 5 kg x 2 m/s² = 10 N

To find what acceleration 10 N would give a 20 kg object

a = F/m = 10 N/20 kg = 0.5 m/s