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Question: “Question 18 (1 point) Saved A sled of mass m is sliding on the frictionless icy surface of a frozen river: While it is passing under bridge, a package of hot dogs o…”

Question 18 (1 point) Saved A sled of mass m is sliding on the frictionless icy surface of a frozen river: While it is passing under bridge, a package of hot dogs of mass 2m is dropped straight down and lands on the sled (without causing damage): The package of hot dogs remains on top of the sled: How does the kinetic energy of the sled and hot dogs compare with the original kinetic energy of the sled?

a. It is the same as the original kinetic energy of the sled.

b. It is 1/3 the original kinetic energy of the sled.

c. It is twice the original kinetic energy of the sled.

d. It is 2/9 the original kinetic energy of the sled.

e. It is 2/3 the original kinetic energy of the sled.

Answer

This problem considers the work done by non-conservative forces. It is equal to the change of kinetic energy and the change of potential energy. We are considering the friction force as a non-conservative force. This means that it is negative.

The distance the sled travels is multiplied by the friction force. The set travels flat on a surface so the potential energy change is zero. Because it doesn’t move up and down, the change of kinetic energy is just one-half of the mass.

The final velocity is equal to the square of the mass multiplied by the initial velocity. The final velocity is the distance the sled goes. We are told that the initial velocity is two meters per second. You can calculate the friction force by multiplying the normal force and the coefficient of friction. Is the coefficient of friction in this example 0.1? The normal force simply refers to the weight of the sled which is its mass multiplied by gravity.

All this means that the friction force equals mass times gravity in terms of coefficients of friction. This can be plugged back into the equation for non-work done by non-conservative forces. It will give us the following: the change in kinetic energies is the work non-conservative. Because the final velocity is zero, this term becomes null.

We have a negative one-half of the mass multiplied by the initial velocity squared. This is equal to the negative gravity coefficient of friction. Time of distance travel. We can now plug in the numbers to find that the negative one-half of the mess times two is equal to negative the mass times grabbing 9.81x the coefficient, or 0.1 times distance. Both the positives and ends can be canceled. We can see that the distance covered by the sled is 0.981 times 2, and the distance is 2.3 years.

Relevant knowledge

When three forces interact on a package containing hot dogs on a surface that is frictionless, the package accelerates according to the net force. The algebraic sum of all the forces that act on the package is called the net force.

Conclusion

This is how you solve this type of task “Question 18 (1 point) Saved A sled of mass m is sliding on the frictionless icy surface of a frozen river: While it is passing under bridge, a package of hot dogs o…”. Please leave a message below if you have any questions or comments.

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