Question

What force causes a 1-kg mass to accelerate at a rate of 1 meter per second each second?

Answer 1

`F=1N`

Step-by-step explanation:

Conceptual analysis

To solve this problem we apply Newton's second law:

The acceleration of an object is proportional to the force F acting on it and inversely proportional to its mass m.

a = F / m

Where,

F = m * a Formula (1)

F: Force in Newtons (N)

m: mass in kg

a: acceleration in m/(s^2)

a = v / t Formula (2)

v: speed in m/s

t: time in seconds (s)

Known information

We know the following data:

m = 1kg

v = 1 m/s

t = 1s

Development of the problem:

In the Formula (2):
`a = ((1m)/(s))/(1s) = 1 (m)/(s^2)`

In the Formula (1):
`F=1kg* 1 (m)/(s^2)=1N`