Question

A 10.0 kg block is pulled by a 20.0N force at an angle of 37 with the horizontal. If the friction between the block and the surface is negligible, the acceleration of the block is:

A. 1,20 m/s²

B. 120m/s²

C. 160m/s²

D. 16,0m/s²

E. 1,60m/s²

Answer 1

Let's apply the Newton's Second Law of Motion:

$$\sum F_x=ma_x=ma,$$ $$Fcos\theta=ma,$$ $$a=\dfrac{Fcos\theta}{m},$$ $$a=\dfrac{20.0\ N\cdot cos37^{\circ}}{10.0\ kg}=1.60\ \dfrac{m}{s^2}.$$

Answer:

E) $a=1.60\ \dfrac{m}{s^2}.$