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Physics 101 Mechanics Q&A Archive of October 20, 2021

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October 20 of 2021

One end of a 32 m rope is tied to a tree; the other end is tied to a car stuck in the mud. The motorist pulls sideways on the midpoint of the rope, displacing it a distance of 3 m. If he exerts a force of 69 N under these conditions, determine the force exerted on the car (in N). (Enter the…
A brick is dropped from the roof of a building. The brick strikes the ground in 2.50 sec. Air resistance may be ignored. How tall is the building?
What is the mass of 15842.5 N object?
A large fish hangs from the roof of an elevator via a spring with a spring constant of 500 N/m and an unstretched length of 0.600 m. The elevator is initially moving upwards at a constant 2.50 m/s, but then slows to a stop in 1.50 s. If the spring has a length of 0.634 m while slowing down,…
A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of this cylinder and its uncertainty in cubic centimeters. (Hint: The formula for the volume of a cylinder is V = π r2 h.) (b) Find the % uncertainty for r, h and V. (c) Find…
1. In the figure shown there is a sphere of mass "m" at rest at point A. If this sphere is released and friction is not considered. What will be the centripetal force when the sphere passes through point B? (g = 10 m / s2)
The graph below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the…
A wire of diameter, d and length, l undergoes a strain of 1.0 x 10-3 when loaded with weight, F. By replacing the wire with another wire of the same material and length but four times in diameter, calculate the strain of new steel wire considering the load remains the same.
A tiny grasshopper decides to jump off a cliff according to the dimensions shown in the image below. If its initial speed was 4.3 m/s, how much time passed by until he reached the ground on the bottom part of the cliff?
Practice Problem 1: Determine the net force of the distributed load (magnitude and direction). Determine the location of the center of the distributed force system. Determine support reactions at the root of the beam.
how to calculate surface tension when there are two radiis
Part A) Find an expression for the shortest distance dmin in which the large box can stop without the small box slipping. Part B) A pickup truck with a steel bed is carrying a steel file cabinet. If the truck's speed is 11 m/s , what is the shortest distance in which it can stop without the…
A 35–kg crate rests on a horizontal floor, and a 65–kg person is standing on the crate. Determine the magnitude of the normal force that (a) the floor exerts on the crate, and (b) the crate exerts on the person.
The Willamette Pass ski area in Oregon was the site of the 1993 U.S. National Speed Skiing Competition. The skiers started from rest and then accelerated down a stretch of the mountain with a reasonably constant slope, aiming for the highest possible speed at the end of this run. During this…
An explorer leaves the base camp and walk 150m in direction 70° south of east, then 175 m in the direction 20° west of south. Determine the displacement he needed to return to the base camp.
Coordinate Systems conversion/Component Vectors 1. The polar coordinates of a point are \( r=5.50 \mathrm{~m} \) and \( \theta=240^{\circ} \). What are the Cartesian coordinates of this point? 2. Obtain expressions in component form for the position vectors having the following polar…
How far has Sam traveled when he finally coasts to a stop? Can you give the equation to solve it and the answer?
6. You bought a 1 kg solid gold statue from a merchant in Italy while you are on vacation. When you get home, you decided to test if this statue is real gold or not. After submerging the gold statue in a large water container, you will measure the volume of displaced water. What is the expected…
5. A boy’s height is 1.76 meters. The vertical distance from his head to his heart is measured as 0.39 m. Find the blood pressure difference between the blood pressure in the anterior tibial artery at the foot and the blood pressure in the aorta at the heart. What is the blood pressure…
An aluminum wing on a passenger jet is 31 m long when its temperature is 28°C. At what temperature would the wing be 8 cm (0.08 m) shorter?
A machinist wishes to insert a copper rod with a diameter of 7 mm into a hole with a diameter of 6.991 mm. By how much would the machinist have to lower the temperature (in °C) of the rod to make it fit the hole?
An airplane flies in a vertical circle at a constant 90.0 m{s. Start each of the following questions with a force diagram (= free-body diagram) for the pilot, whose mass is m. (a) Find the circle’s radius so that the pilot is “weightless” at the top of the circle. (b) What is the pilot’s…
One end of a 32 m rope is tied to a tree; the other end is tied to a car stuck in the mud. The motorist pulls sideways on the midpoint of the rope, displacing it a distance of 3 m. If he exerts a force of 69 N under these conditions, determine the force exerted on the car (in N). (Enter the…
A brick is dropped from the roof of a building. The brick strikes the ground in 2.50 sec. Air resistance may be ignored. How tall is the building?
What is the mass of 15842.5 N object?
A large fish hangs from the roof of an elevator via a spring with a spring constant of 500 N/m and an unstretched length of 0.600 m. The elevator is initially moving upwards at a constant 2.50 m/s, but then slows to a stop in 1.50 s. If the spring has a length of 0.634 m while slowing down,…
A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of this cylinder and its uncertainty in cubic centimeters. (Hint: The formula for the volume of a cylinder is V = π r2 h.) (b) Find the % uncertainty for r, h and V. (c) Find…
1. In the figure shown there is a sphere of mass "m" at rest at point A. If this sphere is released and friction is not considered. What will be the centripetal force when the sphere passes through point B? (g = 10 m / s2)
The graph below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the…
A wire of diameter, d and length, l undergoes a strain of 1.0 x 10-3 when loaded with weight, F. By replacing the wire with another wire of the same material and length but four times in diameter, calculate the strain of new steel wire considering the load remains the same.
A tiny grasshopper decides to jump off a cliff according to the dimensions shown in the image below. If its initial speed was 4.3 m/s, how much time passed by until he reached the ground on the bottom part of the cliff?
how to calculate surface tension when there are two radiis
Part A) Find an expression for the shortest distance dmin in which the large box can stop without the small box slipping. Part B) A pickup truck with a steel bed is carrying a steel file cabinet. If the truck's speed is 11 m/s , what is the shortest distance in which it can stop without the…
A 35–kg crate rests on a horizontal floor, and a 65–kg person is standing on the crate. Determine the magnitude of the normal force that (a) the floor exerts on the crate, and (b) the crate exerts on the person.
An explorer leaves the base camp and walk 150m in direction 70° south of east, then 175 m in the direction 20° west of south. Determine the displacement he needed to return to the base camp.
How far has Sam traveled when he finally coasts to a stop? Can you give the equation to solve it and the answer?
6. You bought a 1 kg solid gold statue from a merchant in Italy while you are on vacation. When you get home, you decided to test if this statue is real gold or not. After submerging the gold statue in a large water container, you will measure the volume of displaced water. What is the expected…
5. A boy’s height is 1.76 meters. The vertical distance from his head to his heart is measured as 0.39 m. Find the blood pressure difference between the blood pressure in the anterior tibial artery at the foot and the blood pressure in the aorta at the heart. What is the blood pressure…
An aluminum wing on a passenger jet is 31 m long when its temperature is 28°C. At what temperature would the wing be 8 cm (0.08 m) shorter?
A machinist wishes to insert a copper rod with a diameter of 7 mm into a hole with a diameter of 6.991 mm. By how much would the machinist have to lower the temperature (in °C) of the rod to make it fit the hole?
An airplane flies in a vertical circle at a constant 90.0 m{s. Start each of the following questions with a force diagram (= free-body diagram) for the pilot, whose mass is m. (a) Find the circle’s radius so that the pilot is “weightless” at the top of the circle. (b) What is the pilot’s…