Question

Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a force of 0.035 N. The water balloon has a mass of 11.4 grams. How fast will Sachi have to make the water balloon accelerate to hit the target with enough force and win the prize?

Answer 1

remember that acceleration (a) equals force (F) over mass (m) or a=F/m. In this equation, both the force, 0.035N, and the mass, 11.4 grams, are provided. However, the mass is provided in the wrong unit, as it should be calculated in kilograms. To set up this equation, you will have to convert 11.4 grams into .0114 kilograms then divide .035 N over 0.114 kg to get your answer of 3.07 m/s^2 rounded to 3.1 m/s^2

Answer 2

Sachi needs to make the water ballon accelerate at the rate of 25 m/s² in order to hit the target with enough force and win the prize.

A force is a push or pull that can be achieved with varying degrees of motion. A force is a vector quantity since it has both magnitude and direction.

From the given information:

• The required force needed to hit the target to make the object fall is 0.035 N
• The mass of the object is 11.4 grams

We all know that Force can only be achieved if there is motion and for a motion to occur, there needs to be a mass of an object moving with at a particular acceleration.

SO,

• Force can be said to be mass (m) × acceleration (a)

The mass is measured in kilograms, as such, we need to convert 11.4 grams to kilograms.

Since 1 gram = 0.001 kg

11.4 grams = 0.0014 kg

∴

F = m × a

0.035 N =0.0014 kg × a

$\mathbf{a = \dfrac{0.035 \ N}{0.0014 \ kg}}$

a = 25 m/s²

Therefore, we can conclude that Sachi needs to make the water ballon accelerate at the rate of 25 m/s² in order to hit the target with enough force and win the prize.

Learn more about acceleration here:

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