Question

In the winter activity of tubing, riders slide down snow covered slopes while sitting on large inflated rubber tubes. To get to the top of the slope, a 2.50 kg tube, is pulled at a constant speed by a tow rope that maintains a constant tension of 12.0 N along the direction of the slope. How much thermal energy is created in the slope and the tube during the ascent of a 6.31-m-high, 52.3-m-long slope, in Joule

Answer 1

≈ 473 J

Step-by-step explanation:

m ( mass ) = 2.5 kg

T ( tension ) = 12 N

v = constant

h ( height ) = 6.31 m

d ( diameter ) = 52.3 m

Determine how much thermal energy is created

considering that external force acts on the system

ΔE = W and this can be rewritten as

mgh + ΔEth = W --------- ( 1 )

where ΔEth = amount of thermal energy created

also ; W = Fd cos ∅, hence Work done by Tension force (w) = Td cos 0 = Td

back to equation ( 1 )

mgh + ΔEth = Td

ΔEth = Td - mgh

= ( 12 * 52.3 ) - ( 2.5 * 9.8 * 6.31 )

≈ 473 J