Answer:
The minimum coefficient of static friction for the box on the floor of the trunk is 0.54.
Explanation:
Given that,
Radius of the unbanked curve, r = 48 m
The speed of the car on the curve, v = 16 m/s
We need to find the minimum coefficient of static friction for the box on the floor of the trunk. It can be calculated by balancing the centripetal force and the force of gravity as :




So, the minimum coefficient of static friction for the box on the floor of the trunk is 0.54. Hence, this is the required solution.
Answer:
a) W = 10995.6 J
b) W = - 9996 J
c) Kf = 999.6 J
d) v = 5.77 m/s
Explanation:
Given
m = 60 Kg
h = 17 m
a = g/10
g = 9.8 m/s²
a) We can apply Newton's 2nd Law as follows
∑Fy = m*a ⇒ T - m*g = m*a ⇒ T = (g + a)*m
where T is the force exerted by the cable
⇒ T = (g + (g/10))*m = (11/10)*g*m = (11/10)*(9.8 m/s²)*(60 Kg)
⇒ T = 646.8 N
then we use the equation
W = F*d = T*h = (646.8 N)*(17 m)
W = 10995.6 J
b) We use the formula
W = m*g*h ⇒ W = (60 Kg)(9.8 m/s²)(-17 m)
⇒ W = - 9996 J
c) We have to obtain Wnet as follows
Wnet = W₁ + W₂ = 10995.6 J - 9996 J
⇒ Wnet = 999.6 J
then we apply the equation
Wnet = ΔK = Kf - Ki = Kf - 0 = Kf
⇒ Kf = 999.6 J
d) Knowing that
K = 0.5*m*v² ⇒ v = √(2*Kf / m)
⇒ v = √(2*999.6 J / 60 Kg)
⇒ v = 5.77 m/s
Answer:
Cost= 0.5 $
Explanation:
Coefficient of performance of the air conditioning system is given as

Energy = energy discharged or vented every hour= m c ΔT
Q = heat energy (Joules, J)
m = mass of a substance (kg)
c = specific heat (units J/kg∙K)
∆ is a symbol meaning "the change in"
∆T = change in temperature (Kelvins, K)
therefore
where m = ρV = density of air x volume = 1.20 x 200 x 2.4 = 576Kg
Energy = energy discharged or vented every hour= ρVc ΔT
Q= 576 x 1.005 x 10 = 5760 KJ/hour
therefore=ore 1kw = 3600KJ/hour
Q = 1.6 Kwh

Q = 
Cost = per unit cost x energy vent x no of hours
Cost = 0.1 x 0.5 x 10
Cost= 0.5 $