Question

An object of mass 2.2 kg is suspended on astring from the ceiling of a moving elevator.Given 9.8 m/s2for gravity and the string ten-sion 34.012 N, find the elevator’s accelerationa.In your answer, take upward accelerationto be positive and downward acceleration tobe negative.Answer in units of m/s2.

Answer 1

a = 5.65 m/s² (↑)

Step-by-step explanation:

T = 34.012 N (↑)

m = 2.2 Kg

g = 9.81 m/s²

We apply Newton's 2nd Law as follows:

∑ Fy = m*a

⇒ T - W = m*a

⇒ T - m*g = m*a

⇒ a = (T - m*g) / m

Finally

⇒ a = (34.012 N - 2.2 Kg*9.81 m/s²) / 2.2 Kg

⇒ a = 5.65 m/s² (↑)