For the situation described in the previous question, which cart experiences the greater change in kinetic energy? Each cart has the same change in kinetic energy.

Describe the energy transfers and transformations that occur from the time you sit down to breakfast until you've completed a fast bicycle ride.

For the situation described in the previous question, which cart experiences the greater change in kinetic energy? Cart 1.

Two carts move in the same direction along a frictionless air track, each acted on by the same constant force for a time interval $\Delta t$. Cart 2 has twice the mass of cart 1. Which one of the following statements is true? Cart 2 has the greater change in momentum.

Two carts move in the same direction along a frictionless air track, each acted on by the same constant force for a time interval $\Delta t$. Cart 2 has twice the mass of cart 1. Which one of the following statements is true? Cart 1 has the greater change in momentum.

Two carts move in the same direction along a frictionless air track, each acted on by the same constant force for a time interval $\Delta t$. Cart 2 has twice the mass of cart 1. Which one of the following statements is true? Each cart has the same change in momentum.

Find the center of mass of a uniform thin semicircular plate of radius $R$. Let the origin be at the center of the semicircle, the plate arc from the $+x$ axis to the $-x$ axis, and the $\mathrm{z}$ axis be perpendicular to the plate.

Define kinetic energy.

The mass of a helium atom is roughly four times that of a hydrogen atom. The mass of an oxygen atom is roughly 16 times that of a hydrogen atom.

A He atom is moving at 800m/s. What is the speed of an O atom that has the same kinetic energy as the He atom?

The mass of a helium atom is roughly four times that of a hydrogen atom. The mass of an oxygen atom is roughly 16 times that of a hydrogen atom.

For each of the following pairs, choose the one that has the greater kineric energy:

(i) a H atom moving at 1000m/s or a He atom moving at 400m/s,

(ii) a H atom moving at 1000m/s or an O atom moving at 400m/s,

(iii) a He atom moving at 1000m/s or an O atom moving at 400m/s.

In this exercise, you will need to show that a projectile fired at an angle of $\alpha$ degrees, $0<\alpha<90$, has the same range as a projectile fired at the same speed at an angle of $(90-\alpha)$ degrees. (In models that take air resistance into account, this symmetry is lost.)

Show that a projectile fired at an angle of $\alpha$ degrees, $0<\alpha<90$, has the same range as a projectile fired at the same speed at an angle of $(90-\alpha)$ degrees. (In models that take air resistance into account, this symmetry is lost.)

A 35-kg child sleds down a hill and then coasts along the flat section at the bottom, where a second 35-kg child jumps on the sled as it passes by her. If the speed of the sled is 3.5 m/s before the second child jumps on, what is its speed after she jumps on?

A $35-\mathrm{kg}$ child rides a relatively massless sled down a hill and then coasts along the flat section at the bottom, where a second 35-kg child jumps on the sled as it passes by her. If the speed of the sled is $3.5 \mathrm{~m} / \mathrm{s}$ before the second child jumps on, what is its speed after she jumps on?