a force of 50 Newton acts in the direction of pronci was the block of mass 5 kg resting on a smooth horizontal surface find out the block
Answers
Correct Question: A force of 50 N acts in a direction as shown in the figure. The block of mass 5 kg resting on a smooth surface. Find out the acceleration of the block and the normal.
Answer:
Acceleration of the block is 5√3 m/s² and the normal is 75 N.
Explanation:
Given: Block of mass 5 kg, with a force of 50 N acting on it at 60°.
To find: Acceleration of the block and the normal.
Solution: Let us draw the component of force acting in order to find the effective force on the block. (Refer to the attached image)
From the image, we have the effective force in x-axis i.e. along the horizontal. So, we obtain:
F cos 30° = ma
50 × √3/2 = 5 × a
a = 25 √3/ 5
a = 5√3 m/s²
For the normal, from the image, we have:
N = F cos 60° + mg
N = 50 × 1/2 + 5 × 10
N = 25 + 50
N = 75 N
Hence, the acceleration of the block is 5√3 m/s² and the normal is 75 N.
