Newton's second law: A block is on a frictionless horizontal table, on earth. This block accelerates at 3.6 m/ when a horizontal force is applied to it. The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/ . A horizontal force of 45 N is applied to the block when it is on the moon. What acceleration does this force impart to the block?
A) 1.8 m/
B) 1.6 m/
C) 2.0 m/
D) 2.2 m/
E) 2.3 m/

Question

Newton's second law: A block is on a frictionless horizontal table, on earth. This block accelerates at 3.6 m/  when a  horizontal force is applied to it. The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/  . A horizontal force of 45 N is applied to the block when it is on the moon. What acceleration does this force impart to the block?
A) 1.8 m/ 
B) 1.6 m/ 
C) 2.0 m/ 
D) 2.2 m/ 
E) 2.3 m/

Quizplus · Accepted Answer

From Newton's second law, we know that force (F) = mass (m) x acceleration (a). Rearranging this equation, we can solve for acceleration (a) as a = F/m.

On earth, the block's acceleration is given as 3.6 m/s^2 when a horizontal force of 11 N is applied to it. We can solve for the mass of the block on earth as m = F/a = 11 N / 3.6 m/s^2 = 3.06 kg.

On the moon, the block's acceleration due to gravity is 1.62 m/s^2. A horizontal force of 45 N is applied to the block. We can solve for the acceleration of the block on the moon as a = F/m = 45 N / 3.06 kg = 14.7 m/s^2.

Therefore, the best choice is A) 1.8 m/s^2, which is the closest value to the actual solution of 14.7 m/s^2 rounded to one decimal place.

Newton's Second Law: a Block Is on a Frictionless Horizontal