Question

the froghopper holds the title of the best jumper of the animal world. A 0.0198 gram frog accelerates at 4,000 m/s^2 over 2mm as it jumps. What is the impulse?

Answer 1

The impulse exerted by the frog is 0.0001584 N.s.

Step-by-step explanation:

Impulse is defined as the change in momentum of an object and can be calculated using the formula:

Impulse = force * time

In this case, to find the impulse, we need to determine the force applied by the frog during the jump. To do this, we can use Newton's second law of motion:

force = mass * acceleration

The mass of the frog is given as 0.0198 grams, and the acceleration is given as 4,000 m/s².

We need to convert the mass to kilograms by dividing it by 1000:

mass = 0.0198 grams / 1000

= 0.0000198 kg

Now we can calculate the force:

force = 0.0000198 kg * 4000 m/s²

= 0.0792 N

Therefore, the impulse is equal to the force multiplied by the time:

impulse = 0.0792 N * 2 mm

Since 1 mm is equal to 0.001 m, we can convert the distance to meters:

impulse = 0.0792 N * 0.002 m

= 0.0001584 N.s

So, the impulse exerted by the frog is 0.0001584 N.s.