Question

Blake stands in a canoe in the middle of a lake. The canoe is stationary. Blake holds an anchor mass of 15 kg, then throws it west with a speed of 8 m/s. Blake and the canoe have a combined mass of 135 kg.
a. the system is defined as Blake, the canoe, and the anchor. What is the total momentum of the system before he throws the anchor?
b. what is the total momentum of the system after he throws the anchor?
c. what is the velocity of the canoe after he throws the anchor?

Answer 1

The velocity of the canoe is  1.7 m/s.

What is momentum?

Momentum in physics is the products of mass and velocity. Now we have to find momentum with the formula; p = mv

a) Initial momentum = (15)8 m/s + 135 = 255 Kgms-1

b) Since momentum is conserved, the total momentum after throwing the anchor is still 255 Kgms-1

c) The final velocity of the boat is obtained from;

255 Kgms-1 = (15Kg + 135 Kg) v

v = 255 Kgms-1/(15Kg + 135 Kg)

v = 1.7 m/s

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