Question

which of the following scenarios involves the highest impulse? $j = ft$
a spaceship crashes into an asteroid with a force of 1000 n for 0.01 seconds
a quantum football is kicked with a force of 50 n for 0.02 seconds
a hoverball is hit with a plasma racket for 0.05 seconds with a force of 30 n
a zero - gravity basketball is dribbled with a force of 20 n for 0.1 seconds

Explanation:

Step1: Calculate impulse for Scenario A

$J_A = 1000 \times 0.01 = 10 \, \text{N·s}$

Step2: Calculate impulse for Scenario B

$J_B = 50 \times 0.02 = 1 \, \text{N·s}$

Step3: Calculate impulse for Scenario C

$J_C = 30 \times 0.05 = 1.5 \, \text{N·s}$

Step4: Calculate impulse for Scenario D

$J_D = 20 \times 0.1 = 2 \, \text{N·s}$

Step5: Compare all impulse values

$10 > 2 > 1.5 > 1$

Answer:

A. A spaceship crashes into an asteroid with a force of 1000 N for 0.01 seconds