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36. To accelerate your car at a constant acceleration, the car $ engine musta. maintain a constant power outputb. develop ever-decreasing powerdevelop ever-increasi...

Question

36. To accelerate your car at a constant acceleration, the car $ engine musta. maintain a constant power outputb. develop ever-decreasing powerdevelop ever-increasing power:d. maintain a constant turning speed.

36. To accelerate your car at a constant acceleration, the car $ engine must a. maintain a constant power output b. develop ever-decreasing power develop ever-increasing power: d. maintain a constant turning speed.



Answers

A $900-\mathrm{kg}$ car cruising at a constant speed of $60 \mathrm{km} / \mathrm{s}$ is to accelerate to $100 \mathrm{km} / \mathrm{h}$ in $4 \mathrm{s}$. The additional power needed to achieve this acceleration is $(a) 56 \mathrm{kW}$ (b) $222 \mathrm{kW}$ $(c) 2.5 \mathrm{kW}$ $(d) 62 \mathrm{kW}$ $(e) 90 \mathrm{kW}$

In this problem, we have somebody driving a car down the road and we are told that the object has an instantaneous acceleration that is constant and it is in the direction of motion of the car. So what this means is that if you had, uh, let's say your acceleration is one m/s and initially you had a velocity of one, then the object is going to increase its velocity, Buy one every single 2nd. So the car's speed will be increasing any time you're acceleration and velocity vectors are in the same direction, the speed will increase.

In this situation, we have a car traveling down the road And let's give that value 10 m/s will stay in the positive direction. Um, at this point we know that the acceleration is instantaneous and constant and it's directed opposite that of the motion of the car. So let's say that it is negative five. In this case, that means that the vehicles velocity is going to decrease by five liters per second every second. So we can see that because the acceleration is directed in the direction opposite that of the velocity that the speed is decreasing. However, When an object has an instantaneous velocity of zero, that means that at that moment it is stopped. So if we had still considered that the object had an acceleration of negative five, then in the next time frame it would have an instantaneous velocity of negative five And then negative 10 and then negative 15. So if we were to continue the timeframe beyond that, we would say that the speed is increasing. So we can say that the speed is initially decreasing but eventually increases.

Hi in the given problem, the object is accelerating. So we have to find the option which is not possible. Now, as we know, the velocity contains both the speed and the direction. Now here option is is the speed of the object maybe constant? No, not at all. Speed cannot be constant because if the speed is constant then the object may be in acceleration as him circular motion as in a uniform circular motion. The object maybe still in acceleration as its direction keeps changing. So it is possible. Now option B. C. S the magnitude of the object's velocity may be constant and this magnitude of velocity is nothing but the well nothing but that speed only. So this is also possible. Yeah, this was possible and option B is also possible as we are talking about the magnet, europe velocity and that is the speed only. So this is also possible. Now, here options, he says, velocity of the object maybe constant. This is not possible because if velocity becomes becomes constant, it means speed and direction both will become constant. Now there cannot be any acceleration, so if velocity is constant means speed and the direction both will be constant, so no acceleration will be there. Hence, this option is not possible. Hence, we can say for this problem only the option C is correct because we have to find the option, which is not possible. Thank you.

For the first one. Let us first calculate inclination and girl, that is Ben Tika is six of 100. So the double V 3.43 degree now consider the equilibrium of forces acting in X direction from the diagram. The submission of effect is zero that will be minus F R plus F minus mg. Same picture is zero as far as the resultant force. Mst Mazie is the exploration. So now we have a resultant forces 60 last 50 us f minus MGs signed 3.43 degrees vertical to zero from this F l B 3 £26. Um, now we have a velocity is 65 MPH that that will be 95.33 feet per second. Now they required power output will be event to be so force we have treat to six and 2 95.33 So power output will be 31077.58 upon, uh, HP There will be so if, uh, pounds feet per second, that will be 56.4 hp. Therefore required power output His 56.4 horses power. Now they can now consider the Muslim forces acting in the X direction from the diagram Submission of Fairfax is I m a X Commission of X. If X is the result minus result and forth plus force minus jesu antica, they call to M X. So we have fr is minus 60 plus five. 50 U. S. F minus 3600 and to sign 3.43 degrees or two and 3600 punchy in 2.5 g. So from this F 35 06 yeah. Now the power required power output will be F in two G. We have place during 2 95.33 That will be for a £236.98. Perfect for a second. That will be 87.7 horse. How the required power output is 87 point seven horsepower


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