Question

A 1m metallic scale is suspended horizontally, and a 400g load is placed 80cm away. How much force is required to balance it?

a) 3.2 N
b) 4 N
c) 5 N
d) 6 N

Answer 1

The force required to balance the 1m metallic scale with a 400g load placed 80cm away is 0.32 N.

Step-by-step explanation:

In order to balance the suspended scale, the forces on both sides of the pivot point must be equal. The torque exerted by the 400g load is calculated as follows:

Torque = force × distance

Torque = 0.4 kg × 0.8 m = 0.32 Nm

Since the scale is in equilibrium, the torque exerted by the force required to balance it should also be 0.32 Nm. The distance between the pivot point and the force can be calculated as:

0.32 Nm = force × 1m

force = 0.32 N

So, the force required to balance the scale is 0.32 N, which is closest to option a) 0.32 N.