- Motion
A 500 kg car heads through a loop with a 20 meter
radius. At the top of the loop the car is moving 14 m/s.
a. If air resistance and friction are negligible, what
would the car's velocity be at the bottom of the
loop?
K at the top of the loop
KE=0.5x500x14~ ==
=49,000
xV² = 245,200/= k₁ til
==
•* (0.5x500)=980.8/ v=√(980;8)=31.3
b. What would the car's velocity be, halfway down the loop?
K=GPE
147000 = 1/2 5000)
250 = 250 (0º
250
23
ation Sheet
50
Do (14)
6PE=500x98x40=
4 196000
.00._to= laboom
4
· 6PE= 500.9.8.30
147000
√588
V=24.25 m/s)
c. If air resistance is negligible but friction is not, the car is only moving 20 m/s when it
reaches the bottom of the loop. Calculate the amount of energy lost as thermal energy to
the environment.