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For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Momentum versus kinetic energy.Part AWhat is the magnitude of the momentum of a 12000 kgkg truck whose speed is 13.0 m/sm/s?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typep𝑝 =nothingnothingSubmitRequest AnswerPart BWhat speed would a 2200 kgkg SUV have to attain in order to have the same momentum?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =nothingnothingSubmitRequest AnswerPart CWhat speed would a 2200 kgkg SUV have to attain in order to have the same kinetic energy?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =

Question

For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Momentum versus kinetic energy.Part AWhat is the magnitude of the momentum of a 12000 kgkg truck whose speed is 13.0 m/sm/s?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typep𝑝 =nothingnothingSubmitRequest AnswerPart BWhat speed would a 2200 kgkg SUV have to attain in order to have the same momentum?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =nothingnothingSubmitRequest AnswerPart CWhat speed would a 2200 kgkg SUV have to attain in order to have the same kinetic energy?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =

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Solution

Part A

The momentum (p) of an object is calculated by the formula:

p = mv

where m is the mass and v is the velocity.

Given that the mass (m) of the truck is 12000 kg and the speed (v) is 13.0 m/s, we can substitute these values into the formula:

p = 12000 kg * 13.0 m/s = 156000 kg*m/s

So, the magnitude of the momentum of the truck is 156000 kg*m/s.

Part B

The momentum of the SUV is the same as the truck, which is 156000 kg*m/s. The mass (m) of the SUV is 2200 kg. We can use the momentum formula to solve for the velocity (v):

p = mv 156000 kgm/s = 2200 kg * v v = 156000 kgm/s / 2200 kg = 70.9 m/s

So, the SUV would have to attain a speed of 70.9 m/s to have the same momentum as the truck.

Part C

The kinetic energy (KE) of an object is given by the formula:

KE = 1/2 * m * v^2

The kinetic energy of the truck is:

KE = 1/2 * 12000 kg * (13.0 m/s)^2 = 1014000 J

Setting this equal to the kinetic energy of the SUV, we can solve for the velocity (v):

1014000 J = 1/2 * 2200 kg * v^2 v = sqrt((2 * 1014000 J) / 2200 kg) = 30.3 m/s

So, the SUV would have to attain a speed of 30.3 m/s to have the same kinetic energy as the truck.

This problem has been solved

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