A force of a 19 newtons is applied on a cart of 2 kilograms and experiences of frictional force of 1.7 newtons. What is the acce
leration of the cart
2 answers:
Answer:
a = 8.65 m/s²
Explanation:
Conceptual analysis
We apply Newton's second law
∑F = m×a Formula (1)
∑F: algebraic sum of forces in Newton (N)
m: mass in kg
a: acceleration in m/s²
Known data
F = 19 N
m = 2 kg
Problem development
We can see in the attached figure the free body diagram of the cart and we replace the data in formula (1), considering that positive forces are the ones that go in the same direction of acceleration:
19 - 1.7 = 2 × a
17.3 = 2 × a
a = 17.3 ÷ 2
a = 8.65 m/s²
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