Question

When a body is dropped from a height, it falls with an acceleration of 10m/s^2. If its mass is 250 g, how much force is exerted on its downwards? Who exerts this force on the body?​

Answer 1

Answer:

Provided that:

• Acceleration = 10 m/s sq.
• Mass = 250 g

To calculate:

• The force exerted

Solution:

• The force exerted = 2.5 N

Knowledge required:

• SI unit of force = Newton (N)
• SI unit of mass = kg
• SI unit of acceleration = m/s²

Using concepts:

• Newton's second law of motion that tell us about the formula to calculate the force.

• Formula to convert g-kg.

Using formulas:

• Newton's second law of motion:

• ${\small{\underline{\boxed{\sf{F \: = ma}}}}}$

• Formula to convert g-kg:

• ${\small{\underline{\boxed{\sf{1 \: g \: = \dfrac{1}{1000} \: kg}}}}}$

Where, a denotes acceleration, F denotes force and m denotes mass.

Required solution:

~ Firstly let us convert grams into kilograms!

$:\implies \sf 1 \: g \: = \dfrac{1}{1000} \: kg \\ \\ :\implies \sf 250 \: g \: = \dfrac{250}{1000} \: kg \\ \\ :\implies \sf 250 \: g \: = \dfrac{25}{100} \: kg \\ \\ :\implies \sf 250 \: g \: = 0.25 \: kg \\ \\ {\pmb{\sf{Henceforth, \: converted!}}}$

~ Now let's find out the force!

$:\implies \sf Force \: = Mass \times Acceleration \\ \\ :\implies \sf F \: = m \times a \\ \\ :\implies \sf F \: = ma \\ \\ :\implies \sf F \: = 0.25 \times 10 \\ \\ :\implies \sf F \: = 2.5 \: N \\ \\ :\implies \sf Force \: = 2.5 \: Newton$

• Therefore, force = 2.5 N

Gravity is exerting force on the body as the body is dropped from the height with an acceleration and here acceleration is “acceleration due to gravity” and also it is falling downwards.

Additional information:

Force: Push and pull on any object is known as force. Force can be also define as the push or pull on an object that have mass that cause the change in velocity of the object.

Effects of force:

1. Force can move a stationary object.

2. Force can stop a moving object.

3. Force can make the change in the size of the object.

4. Force can make the change in the shape of the object.

5. Force can make the change in the speed of the object.

Types of force: There are two types of force that are balanced force and unbalanced force.