We need to convert miles per hour into meters per second as this formula,
KE = 1/2mV^2, needs to use meters per second.
40 mph (1609 meters/ 1 mile)(1 hour/3600 sec.)
= 17.877 meters per sec.
KE = (1500 kg)(17.877 m/s)^2
= 4.8 X 10^5 Joules of kinetic energy
3000lbs = 1361 kg
60 mph = 26.8 meters/s
kinetic energy = 1/2m*v^2
680.5 * 26.8^2
680.5* 718.2 = 488,735.1 joules
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Alternative presentation:
KE = 1/2 (M) (V)2 =
0.5 x (3,000 lbs x kg/2.20462 lbs) x (60 mi/hr x 1,609.344 m/mi x hr/3,600 sec)2 =
489,500.1 joules (rounded)
KE = 1/2mV^2
300 Joules = 1/2(1500 kg)V^2
multiply through by 2
600 = (1500)V^2
divide both sides by 1500
0.4 = V^2
take square (positive) root of both sides
Velocity = 0.632 m/s
We have to ignore friction and air resistance, because the question doesn't include any data for them, and they would make the problem too complicated. We'll just consider the nice simple case where we have a 1500-kg object out in the middle of nowhere, which we want to accelerate with the application of a single force, and the figure of 3 m/s2 is involved in the problem somehow. There is a thorny semantic issue here, which will be hard to explain but I'll try: The wording of the question is somewhat confusing. Do you want to accelerate the car to a speed of 3 m/s ? Or do you want it to accelerate at the rate of 3m/s2 ? If you simply want to push the car until its speed is 3 m/s, then any force will do the job. Any force will accelerate the mass. It's just that a greater force will get you to the target speed sooner, and a smaller force will take longer. That's true even if we don't know the mass of the car. Now, if you want the car to accelerateat the rate of 3 m/s2, now we have a nice little physics problem. I think this is what you intended. Force = (mass) times (acceleration) Force = (1,500 kg) times (3 m/s2) = (1,500 x 3) (kg-m/sec2) = 4,500 Newtons
Before we get started ... in case I forget it later, I just want to mention that
"45 mph" is only a speed, not a 'velocity'.
Kinetic energy = 1/2 (mass) x (speed)2
That formula is pretty simple, but in order to just plug the numbers in into it, they
have to be the mass and speed in SI (metric) units. So we'll calculate those first.
-- Assuming that the car is driving on or near the surface of the Earth, its weight
of 3,000 pounds tells us that its mass is 1,360.779 kilograms. (rounded)
-- 45 miles per hour is equivalent to 20.117 meters/second. (rounded)
KE = (1/2) (mass) (speed)2 = 275,344 joules(rounded)
Kinetic Energy is (1/2)mv2, so in this case it is (1/2)(1,500)(20)2, or 300,000 Joules.
14700
Kinetic Energy
A car is not energy; it may have energy. The energy related to movement is called kinetic energy.
Kinetic energy also depends on mass.
No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.
Kinetic energy is given by 1/2 M x V2, that is one half mass x velocity squared
Kinetic Energy
A car is not energy; it may have energy. The energy related to movement is called kinetic energy.
Kinetic energy also depends on mass.
The energy related to movement is called kinetic energy.
Kinetic Energy is defined as the energy associated with motion. This is in contrast to potential energy which is associated with an entity's energy at rest, and it's potential for motion. Kinetic Energy can be calculated using this formula: KE = 0.5*Mass*Velocity^2, where KE = Kinetic Energy It is apparent by the formula that the same car traveling at a higher speed will have a greater kinetic energy than it does when traveling at a lower speed. Therefore, when the car travels at 50 mi/hr it has a higher kinetic energy than when it travels at 35 mi/hr. Let me just note that if we were talking about two different cars then we'd have to consider the weights of the cars.
60. K= 1/2mv^2 therefore when v is larger, there is more kinetic energy
The formula for kinetic energy is: KE =( mv2)/2 m= mass (not weight) v= velocity A more massive car will have more kinetic energy than a lighter one traveling at the same speed. A faster moving car will have much more kinetic energy than an identical car moving slower.
No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.No. A real car IS not kinetic energy, but it HAS kinetic energy.
Use the formula for kinetic energy: KE = (1/2)mv2. Replace the numbers you know (mass, and kinetic energy), and solve.
4 times (from v squared)
Kinetic energy is "moving energy". A car moves, it has kinetic energy. In the case of a car crash the energy is released-->smash/bang!!!
Kinetic energy is given by 1/2 M x V2, that is one half mass x velocity squared