George is pushing a box horizontally on the floor. The box has a mass of 10 kg and as a
result George's force, it accelerates forward with a rate of 2 m/s2. How much force does
George apply on this box?

Respuesta :

Answer:

 20 N

Explanation:

The relevant formula is ...

  F = ma . . . . m = mass, a = acceleration

  F = (10 kg)(2 m/s²) = 20 kg·m/s² = 20 N

George is applying force of 20 N.

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Additional comment

In 2 m/s², m is used to stand for the unit 'meters'. It should not be confused with the formula m, which stands for mass.

FORCE

Problem:

» George is pushing a box horizontally on the floor. The box has a mass of 10 kg and as aresult George's force, it accelerates forward with a rate of 2 m/s2. How much force does George apply on this box?

Answer:

  • [tex] \color{hotpink}{ \bold{20 \: N}}[/tex]

— — — — — — — — — —

Formula:

- To calculate the force, use formula:

  • [tex] \underline{ \boxed{ \tt F = m \times a }}[/tex]

where,

  • F is the net Force, measured in Newtons (N)
  • m is the mass, measured in kilograms (kg)
  • a is the acceleration, measured in meter per second squared (m/s²)

Solution:

Given that mass = 10 kg and acceleration = 2 m/s²... Substitute it to the formula above then solve.

  • [tex] \tt F = m \times a \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \tt10 \: kg \times 2 \: m/s² \\ \: \: \: \: \: = \underline{ \boxed{ \blue{\tt{20 \: N}}}}[/tex]

Therefore, the force is 20 Newtons...

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