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Q: An object moving at constant speed v around a circle of radius rhas an acceleration a directed…
A: Relation between acceleration and velocity can be express as - a=v2r Where, a = Acceleration v =…
Q: An object traveling on a circular path at a constant speed of 3.7 m/s is experiencing a centripetal…
A: SOlution: given that v = 3.7 m/s a = 5.2 m/s
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A: Given that the value of radius and time period. Then We have to determine the value of centripetal…
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Q: The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
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Q: A high-tech drone flies over Miami, FL in a direction 58.3° west of north with a speed of 30.2 km/h.…
A: Let v1 and v2 be the drone’s speed during the fly 58.30 west of north and due north respectively.…
Q: An astronaut is rotated in a horizontal centrifuge at a radius of 5.6 m. How many revolutions per…
A: Radius , r = 5.6 m Acceleration = 5.3g To find = revolutions per min
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Q: A person desires to reach a point that is 3.4km from her present location and in a direction that is…
A: Given,d=3.4 kmθ=35°
Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…
A: Given data: Initial speed = v Radius = r New speed (v1) = 1.175 v Required: Percentage increase in…
Q: A fishing boat leaves port on a bearing of 33° and travels 12.7 mi. The boat then turns due east and…
A: The correct answer is option (2) i.e. 14.2 mi; 41.2°
Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…
A: Given: An object’s speed is v. The radius is r. Acceleration is a.
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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…
A: We know the axis orientation as:
Q: The earth moves around the sun in a nearly circular orbit of radius 1.50 x 1011m. What is the…
A: The expression for find average speed of earth during half of its path is v=dt=2πr2t
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Q: If the magnitude of the acceleration due to gravity on Earth's surface is 9.8 m/s2, what is the…
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Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…
A: Given information: The speed of the object is increased by 20.5 %
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Q: A person desires to reach a point that is 3.40 km from her present location and in a direction that…
A: Given: D = 3.4 km at 35 degree north of east
Q: A ship sailing in the Gulf Stream is heading 25.0° west of north at a speed of 4,00 m /s relative to…
A: The velocity of the ship relative to the gulf stream vsg=4.00 m/s. The direction of the velocity of…
Q: Suppose A = (-2.33 m)i + (3.79 m)j, B = (2.87 m)i + (-4.8 m)j + (2.18 m)k, and D = (-2.99 m)i +…
A: The angle between the vectors D and A is, θ=cos-1D·ADA D·A=-2.99 mi+-4.24 mj·-2.33 mi+3.79…
Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…
A: Radial acceleration is given by, ar=v2r Speed is increased 19%.So, new speed is, vnew=v+19v100…
Q: delivery boy covers his route by traveling 165 m in a direction 30 degrees west of north and then…
A: Boy Cover 165m 30 degree west of north then cover 180m west.
The moon has an orbital period of 27.3 days and an orbital radius of 3.84 X 10^8m. Find the orbital velocity of the moon in m/s.
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- An astronaut is rotated in a horizontal centrifuge at a radius of 5.6 m. How many revolutions per minute are required to produce if the centripetal acceleration has a magnitude of 5.3g? ( g is the gravitational acceleration, g=9.80 m/s2. Your result must include one digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take π=3.14)A person desires to reach a point that is 3.40 km from her present location and in a direction that is 35.0° north of east. However, she must travel along streets that are oriented either north–south or east–west. What is the minimum distance she could travel to reach her destination?Kepler's third law states that for any object in a gravitational orbit, P2∝a3P2∝a3 where PP is the orbital period of the object and aa is the average distance between the object and what it is orbiting. In our Solar System, the natural units are distances measured in astronomical units (A.U.) and orbital periods measured in years. This can be seen for the Earth-Sun system which has an orbital period P=1P=1 year and an average distance a=1a=1 AU. Using these natural units in the Solar System, the proportionality becomes an equality, so for our Solar System: (Pyears)2=(aA.U.)3(Pyears)2=(aA.U.)3 . Using your mathematical prowess, determine what the orbital period in years would be for an asteroid that was discovered orbiting the Sun with an average distance of 25 astronomical units.
- A delivery boy covers his route by traveling 165 m in a direction 30 degrees west of north and then 180 m west. what is his final location ( magnitude and direction) relative to his starting location?A ship sailing in the Gulf Stream is heading 25.0° west of north at a speed of 4,00 m /s relative to the water. Its velocity relative to the Earth is 4.80 30 m/s 5.00 west of north . What is the velocity of the Gulf Stream (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States .A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph of the equation h(x) = 11x − 0.01x2
- An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 19.0%, by what percentage does the radial acceleration increase?A person desires to reach a point that is 3.4km from her present location and in a direction that is 35 deg north of east. However she must travel along streets that are oriented either north-south or east-west. What is the minimum distance she could travel to reach her destination?A fishing boat leaves port on a bearing of 33° and travels 12.7 mi. The boat then turns due east and travels 2.4mi. How far is the fishing boat from port, and what is the bearing from port? Option 1: 14.2mi; 8.2° Option 2: 14.2mi; 41.2° Option 3: 11.6mi; 41.2° Option 4: 10.8mi; 8.2°
- If the magnitude of the acceleration due to gravity on Earth's surface is 9.8 m/s2, what is the magnitude of the acceleration due to gravity at an altitude equal to Earth's radius?The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. 8h = Suppose a 70.00 kg hiker has ascended to a height of 1815 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %An object moving at constant speed v around a circle of radius rhas an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 16.5%, by what percentage does the radial acceleration increase?
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