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ArbitrLikvidat [17]
3 years ago
13

A car is towing a boat on a trailer. The driver starts from rest and accelerates to a velocity of +16.7 m/s in a time of 20.7 s.

The combined mass of the boat and trailer is 594 kg. The frictional force acting on the trailer can be ignored. What is the tension in the hitch that connects the trailer to the car?
Physics
1 answer:
frutty [35]3 years ago
7 0

Answer:

F = 479.21 N

Explanation:

given,

initial velocity = 0 m/s  

final velocity = 16.7 m/s        

time taken = 20.7 s          

combined mass of the boat and trailer  = 594 kg

tension in the hitch = ?          

using equation of motion          

v = u + a t

16.7 = 0 + a × 20.7

a = 0.807 m/s²              

Force = mass × acceleration        

F = 594 × 0.807                

F = 479.21 N

Hence, the tension in the hitch that connects the  trailer to the car is        F = 479.21 N

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Read 2 more answers
A 50-kg copper block initially at 140°C is dropped into an insulated tank that contains 90 L of water at 10°C. Determine the fin
Kaylis [27]

Answer:

16.33°C

Explanation:

Applying,

Heat lost by copper = heat gained by water

cm(t₁-t₃) = c'm'(t₃-t₂).............. Equation 1

Where c = specific heat capacity of copper, m = mass of copper, c' = specific heat capacity of water, m' = mass of water, t₁ = initial temperature of copper, t₂ = initial temperature of water, t₃ = final equilibrium temperature.

From the question,

Given: m = 50 kg, t₁ = 140°C, m' = 90 L = 90 kg, t₂ = 10°C

Constant: c = 385  J/kg°C, c' = 4200J/kg°C

Substitute these values into equation 1

50(385)(140-t₃) = 90(4200)(t₃-10)

(140-t₃) = 378000(t₃-10)/19250

(140-t₃) = 19.64(t₃-10)

140-t₃ = 19.64t₃-196.6

19.64t₃+t₃ = 196.4+140

20.64t₃ = 336,4

t₃ = 336.4/20.6

t₃ = 16.33°C

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