91Ó°ÊÓ

A block of ice with mass 2.00 kg slides 1.35 m down an inclined plane that slopes downward at an angle of 36.9° below the horizontal. If the block of ice starts from rest, what is its final speed?

While a roofer is working on a roof that slants at 36° above the horizontal, he accidentally nudges his 85.0-N toolbox, causing it to start sliding downward from rest. If it starts 4.25 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 22.0 N?

You are preparing some apparatus for a visit to a newly discovered planet Caasi having oceans of glycerin and a surface acceleration due to gravity of 5.40 m/s2 . If your apparatus floats in the oceans on earth with 25.0% of its volume submerged, what percentage will be submerged in the glycerin oceans of Caasi?

A vertical, solid steel post 25 cm in diameter and 2.50 m long is required to support a load of 8000kg. You can ignore the weight of the post. What are (a) the stress in the post; (b) the strain in the post; and (c) the change in the post’s length when the load is applied?

An engine delivers $\mathbf{175}\mathbf{}\mathbf{hp}$to an aircraft propeller at $\mathbf{2400}\mathbf{}\mathbf{rev}\mathbf{/}\mathbf{min}$. (a) How much torques does the aircraft engine provide? (b)How much work does the engine do in one revolution of the propeller?

Vector A is in the direction 34.0 clockwise from the -yaxis. The x-component of Ais Ax= -16.0 m. (a) What is the y-component of A ? (b) What is the magnitude of A?

Question: Some sliding rocks approach the base of a hill with a speed of . The hill rises at 36° above the horizontal and has coefficients of kinetic friction and static friction of 0.45 and 0.65, respectively, with these rocks. (a) Find the acceleration of the rocks as they slide up the hill. (b) Once a rock reaches its highest point, will it stay there or slide down the hill? If it stays, show why. If it slides, find its acceleration on the way down.

You are preparing some apparatus for a visit to a newly discovered planet Caasi having oceans of glycerin and a surface acceleration due to gravity of 5.40 m/s2 . If your apparatus floats in the oceans on earth with 25.0% of its volume submerged, what percentage will be submerged in the glycerin oceans of Caasi?

A large box containing your new computer sits on the bed of your pickup truck. You are stopped at a red light. When the light turns green, you stomp on the gas and the truck accelerates. To your horror, the box starts to slide towards the back of the truck. Draw clearly labeled free-body diagrams for the truck and for the box. Indicate pairs of forces, if any that are third-law action-reaction pairs. (The horizontal truck bed is not frictionless.)

Boxes Aand Bare in contact on a horizontal, frictionless surface. You push on box Awith a horizontal 100-N force (Fig. Q4.31). Box A weighs 150 N, and box B weighs 50 N. Is the force that box Aexerts on box Bequal to 100 N, greater than 100 N, or less than 100 N? Explain.