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taurus [48]
3 years ago
15

If an automobile engine delivers a power of 50.0 hp, how much time will it take for the engine to do 6.40 x 10^4 j of work? (1 h

p= 746 W)
Physics
1 answer:
aleksandrvk [35]3 years ago
7 0

Given data

Power (P) = 50 hp,

                = 50 × 746,  we know that 1 hp = 746 W.

                = 37300 Watts      (Watt = J/s)  

Work  = 6.40 ×10⁴ J

Power is defined as rate of doing work and the unit of power is<em> Watt.</em>

Mathematically,

         Power = (Work / time)   Watts

                     = 6.40 ×10⁴ / time

          37300 W = 6.40 ×10⁴ J /time      (Where time in seconds)

         => time = Work/Power

                      = 6.40 ×10⁴/37300

                      = <em>1.74 seconds  </em>

<em>  </em><em>Therefore , the engine need 1.74 seconds to do 6.40 6.40 ×10⁴ J of work </em>

<em> </em>


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From Newton's equation of motion, we know that;

d = ut + ½at²

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d = v1•t + ½(a1)t²

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d = v2•t + ½(a2)•t²

Plugging in the relevant values, we have;

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Since they meet at the next exit, then;

33t = ½(a2)t²

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33 = ½(a2)t

Now, we also know that;

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Thus;

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a2 = (33 × 33 × 2)/2500

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