A block is on a frictionless table, on earth. The block accelerates at 5.3 m/s² when a 10 N horizontal force is applied to it. The block and table are set up on the Moon where the acceleration due to
Gravity is 1.62 m/s². A horizontal force of 5 N is now applied to the block when it is on the Moon.
The acceleration imparted to the block by this force is closest to
A) 2.7 m/s².
B) 2.4 m/s².
C) 3.2 m/s².
D) 3.4 m/s².
E) 2.9 m/s².

Question

Quizplus · Accepted Answer

Explanation:On Earth, the acceleration of the block is given by:a = F/mwhere F is the applied force and m is the mass of the block.Substituting the given values, we get:5.3 m/s² = 10 N / mTherefore, the mass of the block is:m = 10 N / 5.3 m/s² = 1.89 kgOn the Moon, the acceleration due to gravity is 1.62 m/s². Therefore, the weight of the block on the Moon is:W = mg = 1.89 kg * 1.62 m/s² = 3.07 NThe applied force on the Moon is 5 N. Therefore, the net force on the block on the Moon is:Fnet = F - W = 5 N - 3.07 N = 1.93 NTherefore, the acceleration of the block on the Moon is:a = Fnet/m = 1.93 N / 1.89 kg = 2.9 m/s²Therefore, the closest answer choice is E) 2.9 m/s².

A Block Is on a Frictionless Table, on Earth