Answer:
Explanation:
Find the diagram of the scenario in the attached file.
From the diagram, the weight = mass * acceleration due to gravity
mass of sled = 30.0kg
acc. due to gravity = 9.81m/s
weight of the sled = 30.0*9.81
weight of the sled = 294.3N
The normal reaction force R in the diagram will be gotten by resolving the 12N force along the vertical
Ry = 12sin45°
R = 12 * 1/√2
R = 12√2/√2
R = 6√2 N
R = 8.49N ≈ 9.0N
The normal force exerted on the sled is approximately is 9.0N
Get the acceleration
Using the formula [tex]\sum Fx = ma_x[/tex] where;
m is the mass of the sled = 30.0kg
[tex]a_x[/tex] is the acceleration of the sled
[tex]\sum Fx = 8 + 12cos45^0\\\sum Fx = 8 + 12(0.7071)\\\sum Fx = 8 + 8.49\\\sum Fx = 16.49N[/tex]
Substitute into the formula;
[tex]a_x = \frac{\sum Fx }{m} \\ a_x = \frac{16.49}{30}\\ a_x = 0.55 m/s^2[/tex]
Hence the acceleration of the sled rounded to the nearest hundredth is 0.55m/s²
