Because the soles of your shoes have cleats, you can exert a backward force of \(100 \mathrm{~N}\) on ice, allowing you to exert a similar forward force if you throw an object. A \(10-\mathrm{kg}\) picnic cooler is at rest on a frozen pond, and you want to get it to shore, up the bank, and stuck in the snow. From past experience, you know that, in order to move up the bank and stick, the cooler needs to be moving at \(3.0 \mathrm{~m} / \mathrm{s}\) at the instant it starts up the bank. Standing \(1.0 \mathrm{~m}\) from the cooler and not wanting to walk to it, you decide to apply a constant force to throw \(1.0-\mathrm{kg}\) snowballs at it to get it moving. If each snowball smashes into the cooler in a totally inelastic collision, what minimum number of snowballs must you throw?