Question

What force must be exerted to lift a 50 Newton object with an acceleration of 10 metre per second

Answer 1

Given:

Weight of object is 50 N and acceleration of the object is 10 m/s².

To find:

Force required to lift the object at that acceleration.

Calculation:

Force is a vector quantity represented by the product of mass of the object and its acceleration.

First , let's calculate the mass of the object , let mass be m ;

m = weight/gravity = 50/10 = 5 kg.

Let applied force be F;

Now , according to FBD of accelerating body , we can say that :

$\therefore$ F - mg = ma

=> F - 50 = 5 × 10

=> F - 50 = 50

=> F = 100 Newton

So, final answer is:

Required force on the object is 100 N.

Answer 2

Given:

A 50 Newton object with an acceleration of 10 metre per second

To find:

What force must be exerted to lift a 50 Newton object with an acceleration of 10 metre per second

Solution:

From given, we have,

A 50 Newton object with an acceleration of 10 metre per second

We use the formula,

F = mg

50 = m × 10

m = 50/10

∴ m = 5 kg

Now consider,

F - mg = ma

F - 50 = 5 × 10

F - 50 = 50

F = 50 + 50

F = 100 N

Therefore, the force that must be exerted to lift a 50 Newton object with an acceleration of 10 metre per second is 100 N.