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mmoadi
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Homework Statement
A cart is driving on straight tracks with a velocity of 2 m/s. In the opposite direction, with an angle of 60º according to the tracks, a child with a mass of 2 kg is running with a velocity of 2m/s, he jumps on the cart and stays there.
- Find the mass of the cart, if its velocity is reduced to 1 m/s when the child jumps onto it.
- What is the impact force perpendicular to the tracks?
http://www.slide.com/s/QOXg7ix_pD-d7WoZA5-k0knIny1R-ZsX?referrer=hlnk [Broken]
Homework Equations
p= mv
F= ma
The Attempt at a Solution
First part: Find the mass of the cart, if its velocity is reduced to 1 m/s when the child jumps onto it.
Conservation of the moment:
m(2)= 20 kg, v(1-initial)= v(2-initial)= 2 m/s, v(3)= 1 m/s, θ= 60º
m(1)v(1) + m(2)v(2)sinθ= (m(1) + m(2))v(3)
2m(1) + 34.64= m(1) + 20
m(1)= 14.64 kg
Are my calculations correct?
Second part: What is the impact force perpendicular to the tracks?
For this part, I know that the formula for impact force is F(impact)=m(Δv/Δt), but I don't know which mass to use and I don't have the time (t).
Any hint what I should do, or is there another equation to find the impact force without knowing the time (t)?
Thank you for helping!
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