Force Applications | MCQs

Explanation

According to Newton's First Law of Motion, the mass of an object measures its inertia.

It is the resistance of an object to changes in its state of motion.

Explanation

Pressure is typically measured in units of force per unit area.

In the Imperial system, pressure is commonly measured in Pounds per Square Inch (PSI).

This is a widely used unit of pressure in engineering, physics, and many other fields.

Other common units of pressure include:

• Atmospheres (atm)
• Bars
• Pascals (Pa)
• Torr

Explanation

The centripetal force (F) acting on the roller coaster is given by the formula:

F = (m × v^2) / r

Where:

m = net mass of coaster + passengers

v = velocity = 30 m/s

r = radius of the circular track = 30 m

Substituting the values, we get:

F = (m × (30)^2) / 30

= (m × 900) / 30

= 900m / 30

= 900m

So, the centripetal force acting on the roller coaster is 900m.

Explanation

When the velocity increases by 2 times and the radius increases by 4 times, the centripetal force remains the same.

This is because the increase in velocity squared (2^2 = 4) is balanced by the increase in radius (4r), resulting in no net change in the centripetal force.

So, the correct answer is:

F' = F