Answer :
When Andrew is moving at a speed of 31 m/s, his momentum is roughly 2000 kg m/s. As Andrew slows down, there is an average force of around 870 N acting on him in the opposite direction from his speed.
What does momentum mean in the simplest terms?
Momentum is the phrase used to describe how an item with a mass greater than zero is moving. Momentum can be calculated using the formula p = m v, where is the mass of the object and is its speed of motion.
(i) To determine Andrew's momentum, we can apply the momentum formula:
p = m * v
where p stands for momentum, m for mass, and v for speed.
replacing the specified values:
p = 67 kg * 31 m/s
p ≈ 2077 kg m/s ≈ 2000 kg m/s
(ii) The following formula can be used to determine the average force (F):
F = Δp / Δt
where t is the time it takes for the change to occur and p is the change in momentum.
The original and final momenta can be used to compute the change in momentum:
Δp = p_final - p_initial
Δp = 0 - 2000 kg m/s
Δp = -2000 kg m/s
It takes 2.3 seconds for the momentum to vanish and become zero.
Δt = 2.3 s
F = -2000 kg m/s / 2.3 s
F ≈ -870 kg m/s².
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Question:
Andrew returns to the top of the hill and starts again.
(i) His mass is 67 kg.
Show that his momentum is about 2000 kg m/s when his velocity is 31 m/s.
(ii) He falls over when his momentum is 2000 kg m/s.
After he falls over, he slows down by sliding across the snow.
It takes 2.3 s for his momentum to reduce to zero.
Calculate the average force on Andrew as he slows down.