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Advanced
Mathematical
GQ

A space probe far from the Earth is travelling at \( 14.8 \) \( \text{km s}^{-1} \). It has mass \( 1\,312 \) \( \text{kg} \). The probe fires its rockets to give a constant thrust of \( 156 \) \( \text{kN} \) for \( 220. \) \( \text{s} \). It accelerates in the same direction as its initial velocity. In this time it burns \( 150. \) \( \text{kg} \) of fuel.

Calculate the final speed of the space probe in \( \text{km s}^{-1} \).

Intermediate
Mathematical
GQ

The highest barrier that a projectile can clear is 16.2 m, when the projectile is launched at an angle of 22.0° above the horizontal. What is the projectile’s launch speed?

Beginner
Conceptual
MCQ

A small boat coasts at constant speed under a bridge. A heavy sack of sand is dropped from the bridge onto the boat. The speed of the boat

Intermediate
Mathematical
MCQ

An object is moving at constant velocity. Which of the following could be the free-body diagram representing the forces acting on the object?

Beginner
Conceptual
MCQ

At time \( t = 0 \) an object is traveling to the right along the \( +x \) axis at a speed of \( 10.0 \) \( \text{m/s} \) with acceleration \( -2.0 \) \( \text{m/s}^2 \). Which statement is true?

Intermediate
Conceptual
MCQ

While flying horizontally in an airplane, you notice that a string dangling from the overhead luggage compartment hangs at rest at 15° away from the vertical toward the back of the plane. Using this observation, you can conclude that the airplane is:

Intermediate
Mathematical
MCQ
The diagram shows a horizontally oriented circular pipe of initial diameter labeled ( D ) that bends smoothly upward into an S-shape and then levels off into a horizontal section whose diameter is labeled ( 2D ). On the lower horizontal section, a point on the pipe’s centerline is marked with a solid black dot and labeled "A". A right-pointing horizontal arrow originates at point A and is labeled ( v_0 ), indicating the fluid velocity at that point. Directly above point A, a dashed horizontal reference line extends across the page. A second dashed horizontal line, parallel to the first, is drawn through a point on the upper horizontal pipe section. The vertical distance between the two dashed lines is marked by a vertical bracket with arrowheads at both ends and labeled ( H ). On the upper horizontal pipe section, a solid black dot on the centerline is labeled "B". A vertical bracket on the left side of the lower dashed line shows the pipe diameter at A labeled ( D ). A similar bracket on the right side of the upper dashed line shows the pipe diameter at B labeled ( 2D ). All pipe walls are drawn as thin parallel curves representing the interior and exterior surfaces.

Water of density \( \rho \) flows through the section of circular pipe shown in the figure. At Point A, where the diameter of the pipe is \( D \), the water has a pressure \( P_0 \) and velocity \( v_0 \). Point B is located a vertical distance \( H \) above Point A in a section of the pipe that has diameter \( 2D \).

Which of the following expressions is equal to the pressure of the water at Point B?

Intermediate
Conceptual
MCQ

An object travels along a path shown above, with changing velocity as indicated by vectors \( A \) and \( B \). Which vector best represents the net acceleration of the object from time \( t_A \) to \( t_B \)?

Intermediate
Conceptual
MCQ

The figure shows a truck pulling three crates across a rough road. Which of the following best describes the directions of all the horizontal forces acting on crate 2?

Beginner
Mathematical
GQ

The maximum energy a bone can absorb without breaking is surprisingly small. Experimental data show that a leg bone of a healthy, \( 80 \) \( \text{kg} \) human can absorb about \( 240 \) \( \text{J} \). From what maximum height could a \( 80 \) \( \text{kg} \) person jump and land rigidly upright on both feet without breaking their legs? Assume that all energy is absorbed by the leg bones in a rigid landing. Express your answer with the appropriate units.

Intermediate
Mathematical
FRQ

An airplane is traveling \( 900. \) \( \text{km/h} \) in a direction \( 38.5^\circ \) west of north.

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