Work output of a large machine in a factory is 89,000 joules, and it’s input is 102,000 joules. work output of a similar machine is 92,000 joules, and it’s work input is 104,000 joules. which machine has a greater efficiency

The machine with work input of 104,000Joules and work output of 92,000 has the greater efficiency

Explanation:

Efficiency of a machine is the ratio of work done by a machine(work output) to work put in the machine (work input).

Mathematically,

Efficiency = Work output/Work Input ×100

For the machine with work output of 89,000Joules and work input of 102,000Joules, its efficiency will be;

Efficiency = 89,000/102,000×100

Efficiency = 87.5%

Similarly for the other machine with work output of 92,000Joules and work input of 104,000Joules, its efficiency will be;

Efficiency = 92,000/104,000×100

Efficiency = 88.5%

Comparing the efficiency of both machines, the machine with efficiency of 88.5% has greater efficiency.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.