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How do you show mathematically why a small increase in your vehicle's speed results in a tremendous increase in your vehicles kinetic energy?
The kinetic energy of a vehicle, of mass m kilograms and travelling at velocity v metres per second, is 1/2*m*v2.Using calculus, d(ke)/dv = m*v.That is, the kinetic energy (ke) increases by the product of the mass and the velocity. Whether or not that can be considered "tremendous" is another matter.The kinetic energy of a vehicle, of mass m kilograms and travelling at velocity v metres per second, is 1/2*m*v2.Using calculus, d(ke)/dv = m*v.That is, the kinetic energy (ke) increases by the product of the mass and the velocity. Whether or not that can be considered "tremendous" is another matter.The kinetic energy of a vehicle, of mass m kilograms and travelling at velocity v metres per second, is 1/2*m*v2.Using calculus, d(ke)/dv = m*v.That is, the kinetic energy (ke) increases by the product of the mass and the velocity. Whether or not that can be considered "tremendous" is another matter.The kinetic energy of a vehicle, of mass m kilograms and travelling at velocity v metres per second, is 1/2*m*v2.Using calculus, d(ke)/dv = m*v.That is, the kinetic energy (ke) increases by the product of the mass and the velocity. Whether or not that can be considered "tremendous" is another matter.
How much work has to be done on a 5 kg sled to increase its speed from 10 m s to 15 m s?
Work is simply a transfer of energy. Calculate the kinetic energy for both speeds, then calculate the difference. The formula for kinetic energy is KE = (1/2)mv2. If the mass is in kilograms, and the velocity (or speed) is in meter/second, the energy is in Joule.
What is the equation for a falling object?
The equation for the kinetic energy of a falling object is kinetic energy=1/2 an object's mass multiplied by it's speed squared. From this, we can work out the speed. First you need to know its weight and its kinetic energy. The kinetic energy is obtained by working out it's potential energy before it fell (Potential energy= mass multiplied by gravitational pull multiplied by height. Then, at whatever point during the fall, the decrease in potential energy marks the increase in kinetic energy. From then we work out the speed. Example; An object that weighs 8.1 kilograms is 10 metres above the ground. It's potential energy is therefore 8.1x10(gravitational pull on earth is always 10)x10. So it has a potential energy of 810 joules. it falls 5 metres, so it's potential energy is 8.1x10x5 (405 joules). The total energy, we know, is 810J, so 810-a05=405, giving it kinetic energy of 405J. The kinetic energy formula is then rearranged as speed squared=kinetic energy/ 0.5m. Our equation is therefore speed squared= 405/4.05, so speed squared=100. The square root of 100 is 10 so the speed is 10 metres per second (36 kilometres per hour).
What is a car's kinetic energy if it is 1500 kilograms and is moving at a speed of ten miles per second?
Are you sure you mean 10 miles per second? That is a speed of 36,000 mph (unless you are referring to the speed of the car relative to the orbit of the earth as the earth orbits the sun, but that is approx 19 miles per second). I think you mean 10 metres per second (as you've used a metric measure for the mass of the car). kinetic energy = ½ × mass × velocity² → KE = ½ × 1500 kg × (10 m/s)² → KE = 75000 kgm²/s² = 75000 Joules = 75 kJ
How are watts and joules related?
This is a very good question. A joule is a unit of energy, and a watt is a unit of power. Power is the rate at which energy is converted from potenital to kinetic energy. So power is some quantity of energy divided by some unit of time. In the SI system, a watt is equal to 1 joule per second. Real life example. A 60W lightbulb uses 60 joules of energy every second. Hope this helps!
When the coaster is at the top of the second hill what is the relationship between kinetic energy and potential energy?
At the top of the second hill, the coaster has maximum potential energy and minimum kinetic energy. As the coaster descends, potential energy decreases while kinetic energy increases due to the conversion of potential energy into kinetic energy.
What is the mathmetical formula for kinetic energy?
Kinetic Energy = 1/2(mass in kilograms)(meters per second)2
What is an energy relay race?
Energy relay game is a race game, in which there are four runner (One team). There are three points where the first runner of the team passes the stick to the second runner. The second runner passes the stick to third runner and third runner passes the stick to last runner. This cycle is completed by all the participating teams. The team who did this first is the winner.
Is touching a kinetic energy?
Kinetic energy is the energy of motion. Your touching finger has mass and is moving some meters per second, so that motion is kenetic energy.
What is the kinetic energy of an object that has a mass of 20 kg and a speed of 2.8m per second?
The object's kinetic energy is 78.4 joules.
The kinetic energy of the object moving with a velocity of 5 meter per second is 25 joules. What will be the kinetic energy when the velocity is tripled?
When the velocity is tripled to 15 meters per second, the kinetic energy will increase by a factor of 9 (3^2) since kinetic energy is proportional to the square of velocity. So, the kinetic energy will be 225 joules (25 * 9) when the velocity is tripled.
What is the energy of a system by virtue of its motion?
The energy of a system due to its motion is called kinetic energy. It is directly proportional to the mass of the object and the square of its velocity. Mathematically, kinetic energy (KE) is given by the formula KE = 0.5 * mass * velocity^2.
What will be the kinetic energy and velocity of object of mass 62kg?
Its kinetic energy (in joules) will be (31) times (its velocity in meters per second)2 .
How kinetic energy transfers?
Kinetic energy transfers occur when an object in motion collides with another object, causing the kinetic energy to be transferred to the second object. This transfer of energy is based on the principle of conservation of energy, where the total kinetic energy before the collision is equal to the total kinetic energy after the collision, although it may be distributed differently between the objects involved.
How does kinetic energy transfer from one object to another?
Kinetic energy can be transferred from one object to another through direct contact, such as in a collision. During the interaction, some of the kinetic energy of the first object is transferred to the second object, causing it to move. This transfer of kinetic energy follows the laws of conservation of energy, ensuring that the total kinetic energy remains constant within the system.
If the particles in an object have more kinetic energy than the particles in a second object what must be true?
The object with particles having more kinetic energy will have a higher temperature than the object with particles having less kinetic energy.
Describe how kinetic energy transfer from one object to another?
Kinetic energy is transferred when one object collides with another, causing the kinetic energy of the first object to decrease while the kinetic energy of the second object increases. The amount of energy transferred depends on factors such as the mass and velocity of the objects involved in the collision.
