Question

an average grasshopper has a mass of 100mg or 0.10 grams. If the acceleration of the grasshopper when it jumps is 400 m/s^2. Calculate the impulse that the grasshopper applies to initiate it's jump if the jump takes 0.001 seconds and calculate the force applied

Answer 1

To calculate the impulse applied by the grasshopper to initiate its jump, we can use the formula:

Impulse = Force × Time

Given:

Mass of the grasshopper (m) = 0.10 grams = 0.0001 kg

Acceleration (a) = 400 m/s^2

Time (t) = 0.001 seconds

First, let's calculate the force applied by the grasshopper:

Force = Mass × Acceleration

Force = 0.0001 kg × 400 m/s^2

Force = 0.04 kg·m/s^2

Now, we can calculate the impulse:

Impulse = Force × Time

Impulse = 0.04 kg·m/s^2 × 0.001 s

Impulse = 0.00004 kg·m/s

Therefore, the impulse applied by the grasshopper to initiate its jump is 0.00004 kg·m/s.

To calculate the force applied, we have already determined that it is 0.04 kg·m/s^2.