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Solving questions about Force

What is force?

Force is defined as the push or pulls on a mass item that causes it to change speed. A force is an external impulse that has the power to alter an object's shape, direction, state of motion, or rest. There is magnitude and direction to force. Only when two or more items come into contact with one another can a push or pull occur. However, an object can also feel forces even if there isn't any physical touch between them. Thus, contact and non-contact forces can be used to categorize forces.

Force Formula

F = m x a.

where:

F = Force (N)

m= Mass of object (kg)

a = Acceleration  ()

Other formulas that are related:

a = (v-u)/t

where:

a = Acceleration  ()

v = Final velocity (m/s)

u = Initial velocity (m/s)

t = time (s)

Problem:

What is the mass of the cart with a constant net force of 200N is exerted to accelerate from rest to a velocity of 40m/ s in 10 s.?

Note:

First we need to solve first the acceleration before we can solve the mass of the cart.

The formula for Force is  ( F = m × a ), and to solve for mass we can have the formula ( m = F / a )

Given :

Force applied on the cart = 200 N.

Initial velocity = 0 m/s.

Final velocity = 40 m/s.

Time taken = 10 s.

Required: Mass of the cart = ?

Equation:

Acceleration = v-u/t

Force = mass × acceleration

Solution :

Using the first equation of motion, the acceleration (a) produced in the body can be calculated as:

Acceleration = v-u/t

So, a = 40-0/10

⇒ a = 40/10

⇒ a = 4 m/s²

Now, Force = mass × acceleration

⇒ F = ma

⇒ m = F/a

⇒ m = 200/4

⇒ m = 50 kg

Answer: Mass of the cart is m = 50 kg

Learn more about force here :

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