Because the soles of your shoes have cleats, you can exert a forward force of 10

Question

Because the soles of your shoes have cleats, you can exert a forward force of 100 N even on slippery ice. A 29-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 m/s at the instant it starts up the bank. Standing some distance from the cooler and not wanting to walk to it, you decide to throw 1.0-kg snowballs at it to get it moving. Assume that as you throw a snowball, you exert a 100 N force over a distance of 1.0 m.

Part A

If each snowball smashes into the cooler in a totally inelastic collision, what minimum number of snowballs must you throw?

Explanation / Answer

Here ,

force , F = 100 N

mass , m = 29 kg

final speed , v = 3 m/s

let the snowball of each snowball is u

0.5 * m * u^2 = F * d

0.5 * 1 * u^2 = 100 * 0.1

u = 4.472 m/s

let the number of ball is N

Using conseravtion of moentum

N * 1 * u = (m + N * 1) * v

N * 4.472 = (29 + N * 1) * 3

solving for N

N = 59.1 = 60

the number of snowball must be throwed is 60

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