Question

Brittany stands at rest on a skateboard. the combined mass of brittany and the skateboard is 62 kg . dave tosses a 3.7-kg pumpkin to brittany, and when she catches it, she and the skateboard begin to roll backward with a speed of 0.16 m/s .

Answer 1

Mass of Britney with skate board = 62 kg 
Total with pumpkin m = 62 + 3.7 = 65.7 kg
 Speed of the skateboard V = - 0.16 m/s (backward)
 The final momentum M = m x V = 65.7 x -0.16 = -10.512 kg-m/s
 For pumpkin momentum = m x V = 3.7V
 Since the total initial momentum and the final momentum are zero,
 3.7V + (-10.512) = 0 => 3.7V = 10.512
 The Speed of the pumpkin V = 10.512 / 3.7 = 2.84 m/s

Answer 2

The speed of the pumpkin is mathematically given as

u = 3.196 m/s

What is the speed of the pumpkin?

Question Parameters:

the skateboard is 62 kg .

dave tosses a 3.7-kg pumpkin to brittany

a speed of 0.16 m/s

Generally, the equation for the conservation of momentum   is mathematically given as

M*U + m*u = (M + m) *v

Therefore

(62 * 0) + (3.7 * u) = (62 + 3.7) * 0.18

0 + 3.7u = 65.7 * 0.18

u = 11.826 / 3.7

u = 3.196 m/s

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