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1. A huge stones is pushed with 30N of force. The stones mass is 88kg. What is the acceleration of the stone?

2. A car is being towed. If its mass is 1,750 kg and it acceleration at 5 m/s^2, how much is the net force involved?

3. What is the mass of an object if it acceleration at 7.5 m/s^2, and the force applied is 12.5N?

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Sagot :

Tokamakgo

Problem 1:

Given:

F = 30 N

m = 88 kg

Required:

a

Solution:

F = ma

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

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

[tex]a = \dfrac{\text{30 N}}{\text{88 kg}}[/tex]

[tex]\boxed{a = \text{0.341 m/}\text{s}^{2}}[/tex]

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Problem 2:

Given:

m = 1,750 kg

a = 5 m/s²

Required:

F

Solution:

F = ma

F = (1,750 kg)(5 m/s²)

[tex]\boxed{F = \text{8,750 N}}[/tex]

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Problem 3:

Given:

F = 12.5

a = 7.5 m/s²

Required:

m

Solution:

F = ma

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

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

[tex]m = \dfrac{\text{12.5 N}}{\text{7.5 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{1.67 kg}}[/tex]

[tex]\\[/tex]

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