IDNStudy.com, kung saan ang mga eksperto at komunidad ay nagtutulungan para sagutin ang iyong mga tanong. Sumali sa aming platform upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

A car at rest accelerates to a speed of 20.0 m/s in 10.0s. what is the mass of the car if the constant net force of 100.0N is applied on it?

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The force acting on an object is given by

[tex]\boxed{F = ma}[/tex]

where:

F = force

m = mass

a = acceleration

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for a

[tex]a = \dfrac{v_{f} - v_{i}}{t}[/tex]

[tex]a = \dfrac{\text{20.0 m/s} - 0}{10.0 s}[/tex]

a = 2.00 m/s²

Solving for m

F = ma

[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]

[tex]m = \dfrac{F}{a}[/tex]

[tex]m = \dfrac{\text{100.0 N}}{\text{2.00 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{50.0 kg}}[/tex]

Therefore, the mass of the car is 50.0 kg.

[tex]\\[/tex]

#CarryOnLearning