A truck and a motorcycle are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesTruckMotorcycle
Question
A truck and a motorcycle are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesTruckMotorcycle
Solution
The kinetic energy of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity.
Momentum, on the other hand, is given by the formula p = mv.
Given that the truck and the motorcycle have the same momentum, we can set their momenta equal to each other:
m_truck * v_truck = m_motorcycle * v_motorcycle
From this equation, we can see that for the momentum to be the same, the truck, which has a larger mass, must be moving at a slower speed than the motorcycle.
Substituting the momentum equation into the kinetic energy equation gives:
KE = 1/2 p^2/m
From this equation, we can see that the kinetic energy is inversely proportional to the mass for a given momentum.
Therefore, the motorcycle, which has a smaller mass, will have a greater kinetic energy than the truck.
Similar Questions
Which of the following has the greatest momentum?Select an answerAA car moving at 10 m/s with a mass of 1000 kgBA truck moving at 5 m/s with a mass of 5000 kgCA motorcycle moving at 20 m/s with a mass of 200 kgDA bicycle moving at 30 m/s with a mass of 50 kg
Which of the following is an example of kinetic mechanical energy?A compressed springAn elevated wrecking ballA loaded gun A set mouse trapA bike rolling down a hill
A car and a bus are driving along a road at the same speed. The bus has twice the mass of the car. Which vehicle has the greater momentum?
A ping pong ball and a bowling ball are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesThe ping pong ballThe bowling ballEqual amounts for both
Kevin and Jason are riding identical bicycles to school. The boys both have the same amount of mass. Kevin is traveling at 20 kilometers per hour, whereas Jason is traveling at 15 kilometers per hour.Which of these is true? A. Jason has more kinetic energy than Kevin because Jason is moving at a faster speed. B. Kevin has more kinetic energy than Jason because Kevin is moving at a faster speed. C. Kevin and Jason have the same amount of kinetic energy because they are both in motion. D. Kevin and Jason have the same amount of kinetic energy because they have the same amount of mass.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.