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Physics 101 Mechanics Q&A Archive of October 11, 2021

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October 11 of 2021

A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. At what speed does the ball hit the ground?
Alan Shepard took a golf ball to the moon during one of the Apollo missions, and used a makeshift club to hit the ball a great distance. He described the shot as going for “miles and miles.” A reasonable golf tee shot leaves the club at a speed of 64 m/s. Suppose you hit the ball at this speed…
A grasshopper can jump a distance of 30 in (0.76 m) from a standing start. If the grasshopper takes off at the optimal angle for maximum distance of the jump, what is the initial speed of the jump? Most animals jump at a lower angle than 45°. Suppose the grasshopper takes off at 30° from the…
Ski jumpers go down a long slope on slippery skis, achieving a high speed before launching into air. The “in-run” is essentially a ramp, which jumpers slide down to achieve the necessary speed. A particular ski jump has a ramp length of 120 m tipped at 21° with respect to the horizontal. What…
A new ski area has opened that emphasizes the extreme nature of the skiing possible on its slopes. Suppose an ad intones “Free fall skydiving is the greatest rush you can experience…but we’ll take you as close as you can get on land. When you tip your skis down the slope of our steepest runs,…
The maximum grade of interstate highways in the United States is 6.0%, meaning a 6.0 meter rise for 100 m of horizontal travel. What is the angle with respect to the horizontal of the maximum grade? Suppose a car is driving up a 6.0% grade on a mountain road at 67 mph (30/s). How many seconds…
A gopher standing on a fairway hits a shot to a green that is elevated 5.50 m above the point where she is standing
The Manitou Incline was an extremely steep cog railway in the Colorado mountains; cars climbed at a typical angle of 22? with respect to the horizontal. What was the vertical elevation change for the one-mile run along the track?
A jumbo jet of mass 100,000 kg during takeoff experience a thrust for each of its four engines of 50,000 N, producing an acceleration of
A ball is thrown vertically upward with a speed of 25.0 m/s. (a) How high does it rise?
A train 400 m long is moving on a straight track with a speed of 82.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the…
The three forces and the couple shown are applied to a rectangular plate. (a) Find the equivalent force-couple system at B in unit-vector notation. (b) Locate the application point of an equivalent single force on line BD. (c) Draw an arrow in the diagram to represent the equivalent single…
an airport runway is 3550 feet long and has an incline of 3.0 degree the airport planning committee plans to replace this runway with a new runway, as shown in the following figure. the new runway will be inclined at an angle of 2.2 degree.what will be the length in mi of the new runway?
What fraction of a light year is your answer to part b? A light year is the distance light travels in one year.
A 12 space kg block is connected to an empty 2.3 space kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.59 and the coefficient of kinetic friction is 0.4838. Sand is gradually added to the bucket until the system…
A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. At what speed does the ball hit the ground?
Alan Shepard took a golf ball to the moon during one of the Apollo missions, and used a makeshift club to hit the ball a great distance. He described the shot as going for “miles and miles.” A reasonable golf tee shot leaves the club at a speed of 64 m/s. Suppose you hit the ball at this speed…
A grasshopper can jump a distance of 30 in (0.76 m) from a standing start. If the grasshopper takes off at the optimal angle for maximum distance of the jump, what is the initial speed of the jump? Most animals jump at a lower angle than 45°. Suppose the grasshopper takes off at 30° from the…
Ski jumpers go down a long slope on slippery skis, achieving a high speed before launching into air. The “in-run” is essentially a ramp, which jumpers slide down to achieve the necessary speed. A particular ski jump has a ramp length of 120 m tipped at 21° with respect to the horizontal. What…
A new ski area has opened that emphasizes the extreme nature of the skiing possible on its slopes. Suppose an ad intones “Free fall skydiving is the greatest rush you can experience…but we’ll take you as close as you can get on land. When you tip your skis down the slope of our steepest runs,…
The maximum grade of interstate highways in the United States is 6.0%, meaning a 6.0 meter rise for 100 m of horizontal travel. What is the angle with respect to the horizontal of the maximum grade? Suppose a car is driving up a 6.0% grade on a mountain road at 67 mph (30/s). How many seconds…
A gopher standing on a fairway hits a shot to a green that is elevated 5.50 m above the point where she is standing
The Manitou Incline was an extremely steep cog railway in the Colorado mountains; cars climbed at a typical angle of 22? with respect to the horizontal. What was the vertical elevation change for the one-mile run along the track?
A jumbo jet of mass 100,000 kg during takeoff experience a thrust for each of its four engines of 50,000 N, producing an acceleration of
A train 400 m long is moving on a straight track with a speed of 82.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the…
The three forces and the couple shown are applied to a rectangular plate. (a) Find the equivalent force-couple system at B in unit-vector notation. (b) Locate the application point of an equivalent single force on line BD. (c) Draw an arrow in the diagram to represent the equivalent single…
What fraction of a light year is your answer to part b? A light year is the distance light travels in one year.
A 12 space kg block is connected to an empty 2.3 space kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.59 and the coefficient of kinetic friction is 0.4838. Sand is gradually added to the bucket until the system…