Under the action of a force of 150N, the body moves rectilinearly so that its speed changes according
February 23, 2021 | education
| Under the action of a force of 150N, the body moves rectilinearly so that its speed changes according to the law v = 5 + t. What is body weight?
According to Newton’s second law:
F = m * a, where F is the force that the body acts (F = 150 N), m is the body weight (kg), and is the acceleration of the body (m / s²).
To find the acceleration of the body from the function V (t) = 5 + t, it is necessary to take the derivative (first-order derivative) from this function:
x ‘= V’ = a = (5 + t) ‘= 0 + 1 = 1 m / s².
Let’s express and calculate the body weight:
m = F / a = 150/1 = 150 kg.
Answer: Body weight is 150 kg.
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