When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 2 kg, the acceleration of the object is 35 /ms2. When the same force acts upon another object, its acceleration is 10 /ms2. What is the mass of this object?

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yeabsiratsegaye1234 yeabsiratsegaye1234 · Answer 1 · 2020-01-04T19:52:55+01:00

Answer:

7 kg

Step-by-step explanation:

F=35*2=m*10

70=10m

7=m

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MrRoyal MrRoyal · Answer 2 · 2021-08-04T17:58:36+02:00

The mass of the second object is 7 kg

First, we make the following representations

[tex]F \to[/tex] Force

[tex]a \to[/tex] acceleration

[tex]m \to[/tex] mass

The formula of force is:

[tex]F = m * a[/tex]

Since force is constant, then:

[tex]m_1 =2kg[/tex] [tex]a_1 = 35m/s^2[/tex] --- subset 1 represents the first object

[tex]m_2 = ??[/tex] [tex]a_2 = 10m/s^2[/tex] --- subset 2 represents the second object

We are to calculate the mass of the second object

A constant force means:

[tex]m_1 * a_1 = m_2 * a_2[/tex]

Make m2 the subject

[tex]m_2 = \frac{m_1 * a_1}{a_2}[/tex]

Substitute known values

[tex]m_2 = \frac{2kg * 35m/s^2}{10m/s^2}[/tex]

[tex]m_2 = \frac{2kg * 35}{10}[/tex]

[tex]m_2 = \frac{70kg}{10}[/tex]

[tex]m_2 =7kg[/tex]

Hence, the mass of the second object is 7kg

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