Respuesta :
Given:
The mass of the ball is m = 2.5 kg.
The upward force is F = 27.5 N
To find
(A)The direction and magnitude of the net force acting upon the ball.
(B)The direction and magnitude of the acceleration of the ball.
Explanation:
(A) Two forces act on the ball, the upward force and the downward force due to gravity.
The net force will be
[tex]\begin{gathered} F_{net}=F_{}-mg\text{ } \\ =27.5-2.5\times9.8 \\ =\text{ 3 N} \end{gathered}[/tex]Here, g = 9.8 m/s^2 is the acceleration due to gravity.
The direction of force is acting upwards.
(B) The magnitude of the acceleration is
[tex]\begin{gathered} a\text{ = }\frac{F_{net}}{m} \\ =\frac{3}{2.5} \\ =1.2m/s^2 \end{gathered}[/tex]The direction of the acceleration is acting upwards.
Final Answer: (A)The magnitude of the net force is 3 N and the direction of force is upwards.
(B) The magnitude of the acceleration is 1.2 m/s^2 and the direction of the acceleration is acting upwards.
