A car accelerates uniformly from rest to 24.8 m/s in 7.88 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.10 x 104 N.
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Ответ:
When he weight of the car is 8.55 x
N then power = 314.012 KW
When he weight of the car is 1.10 x
N then power = 43.76 KW
Explanation:
Given that
Initial velocity
= 0
Final velocity
= 24.8 ![\frac{m}{s}](/tpl/images/0571/3774/406de.png)
Time = 7.88 sec
We know that power required to accelerate the car is given by
P =![\frac{change \ in \ kinetic \ energy}{time}](/tpl/images/0571/3774/73ba3.png)
Change in kinetic energy Δ K.E =![\frac{1}{2} m (V_{2}^{2} - V_{1}^{2} )](/tpl/images/0571/3774/469ec.png)
Since Initial velocity
= 0
⇒ Δ K.E =![\frac{1}{2} m V_{2} ^{2}](/tpl/images/0571/3774/3fd25.png)
⇒ Power P =![\frac{1}{2} \frac{m}{t} V_{2} ^{2}](/tpl/images/0571/3774/43d3c.png)
⇒ Power P =
-------- (1)
(a). The weight of the car is 8.55 x
N = 8550 N
Put all the values in above formula
So power P =![\frac{1}{2} \frac{8550}{(9.81)\ (7.88)} (24.8) ^{2}](/tpl/images/0571/3774/22bd9.png)
P = 314.012 KW
(b). The weight of the car is 1.10 x
N = 11000 N
Put all the values in equation (1) we get
P =![\frac{1}{2} \frac{11000}{(9.81)\ (7.88)} (24.8) ^{2}](/tpl/images/0571/3774/6fb4e.png)
P = 43.76 KW
Ответ:
Hamstrings
Explanation: