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melamori03 [73]
3 years ago
8

Basic Question please help

Engineering
1 answer:
Dvinal [7]3 years ago
7 0
1(A)
2(B)
3(E)
4(C)
5(D)
6(B)
7(C)
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Please find the power (in kW) needed in accelerating a 1000 kg car from 0 to 100 km/hour in 10 seconds on a 5% gradient up-hill
hodyreva [135]

Answer:

P= 45.384 kW

Explanation:

given data:

m = 1000 kg

u = 0

v = 100 km/hr = 250/9  m/s

t = 10 sec

g =9.81 m/s2

5% gradient

from figure we can have

tan\theta = \frac{0.05x}{x}

\theta =  tan^{-1}0.05

\theta = 2.86 from equation of motion we have

v = u + at

\frac{250}{9} = 0 + 9*10

a = \frac{25}{9} m/s^2

distance covered  in 10 sec

from equation of motion

s = ut + \frac{1}{2}at^2

s = 0*10+ \frac{1}{2}*\frac{25}{9}*10^2

s = 138.8 m

from newton's 2nd law of motion along inclined position

F -mgsin\theta  = ma

solving for f  

f = mgsin\theta +ma

F = 1000*9.81*SIN2.8624 +1000*\frac{25}{9}

F = 3267.67 N

work done is given as W

W = F* s

and power P = \frac{W}{t}

P = \frac{F*s}{t}

P = \frac{3267.67*\frac{1250}{9}}{10}

P = 45384.30 W

P= 45.384 kW

4 0
4 years ago
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