Question

In target archery, the magnitude of the maximum draw force applied by a particular bow is 1.24 x 10² N. If this force gives the arrow an acceleration of magnitude

4.43x10³ m/s², what is the mass, in grams, of the arrow

Answer 1

To find the mass of the arrow, we can use Newton's second law which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Plugging in the given values, the mass of the arrow is approximately 28 grams.

Step-by-step explanation:

To find the mass of the arrow, we can use Newton's second law, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force is 1.24 x 10^2 N and the acceleration is 4.43 x 10^3 m/s^2.

Using the equation F = ma, we can rearrange it to solve for the mass (m = F/a). Plugging in the values, we have m = (1.24 x 10^2 N) / (4.43 x 10^3 m/s^2).

Solving this equation gives us the mass of the arrow, which is approximately 2.8 x 10^-2 kg (or 28 grams).