A small block slides at a speed V on a horizontal surface. Determine the angle e at which it will leave the cylindrical surface BCD. Gravity acceleration is g. Neglect friction and air resistance. DE

Q: Q.4: The automobile has a speed of 80 at point A and an acceleration a having a magnitude of, acting…

A: Given:  Speed of automobile v=80 m/s             Angle is            To find: Radius of curvature…

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A: Consider, The passenger's weight is equal to the centripetal force. The equation can be written as:-…

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Q: q 0.100 m -3.00 nC y + 112 6.00 nC. +

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Q: A curve on the freeway has a radius r = 300 m. What banking angle would allow vehicles traveling at…

A: Here given that the radius of the curve is 300 m. Now the car is moving at a speed of 35 m/s.We have…

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A: For a body in a circular motion, it has constant speed and hence constant angular velocity.  The…

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Q: A possible new Olympic snowboarding event has boarders slide down a concave hill from point A and…

A: Free body diagram at P:

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Q: A cannon is fired with a muzzle speed of v = 300 m/s with a muzzle elevation (slope of the cannon…

A: Given, speed of cannon, v=300 m/s Slope=tanθ=3 To find, radius of curvature at its apex.

Q: At a certain height above the earth's surface the gravitational acceleration is 90% of its value at…

A: We need to find-Height (h)=?Given that-gh=90100geghge=90100R=6400 km

Q: 3. A 900 kg car drives over a brige in the shape of a circular arc with radius 40 m. The car moves…

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Q: A toy shop owner is designing a display for his store window. mear He would like a snowman on a sled…

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Q: 1. An airplane is flying in a horizontal circle at a speed of 172m/s. The 84.9kg pilot does not want…

A: Given: Speed of airplane=172m/s Mass of the pilot=84.9kg Maximum centripetal acceleration :…

Q: Given: The train engine at E has a speed of 20 m/s and an acceleration of 14 m/s² acting at v = 20…

A: Given: Engine speed, v=20 m/s Engine's acceleration, a=14 m/s2 Finding engine's increasing speed…

Q: If the skier's speed at point A in the figure is 8.6 m/s , what is the normal force exerted by the…

A: Given: The mass of the skier is 64 kg. The speed of the skier at point A is 8.6 m/s. The height of…

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A: Given linear speed v = 1.5 m/s radius r = 0.20 m We have to find out angular velocity and time…

Q: A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which…

A: It is given that, x=7.5t2+6.9 mm, and y=6.8t3+2.1 mm. It is required to find the radius of curvature…

Q: 43 ILW What is the smallest radius of an unbanked (flat) track around which a bicyclist can travel…

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Q: The car has a speed of 15 m/s at the top of a hump when the driver applies the brakes, causing a…

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Q: 1. A stopwatch starts while race car travels at 7 m/s from the pit area and accelerates at a uniform…

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Q: it takes a 600kg racing car 10 secs to travel at a uniform speed around a circular track with a…

A: Given data:  Mass (m) = 600 kg Time taken to complete one revolution (T) = 10 s Radius (r) = 50 m…

Q: A particle moves in a circular path of radius R = 2 m. At some instant of time, its total…

A: R = 2M →a = 20m/s2 θ=30°

Q: V27 -t and z = 9. V108 Q1) A bee goes out from it's hive in spiral path such that: R = e¯¯12 , 0 =…

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Q: A toy airplane is moving in a circle at constant speed (uniform circular motion) at the end of a…

A: We will use the centripetal force to find the correct statement,

Q: The radius of curvature is smaller at the top than on the sides so that the downward centripetal…

A: Radius of curvature on the top point= 17 m Centripetal acceleration= 1.5 g to find the speed of…

Q: S6. James Bond is trying shake off a villain hanging on to his car. The bad guy has mass 80kg and…

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Q: a space station has an outer radius of 140 m. The station rotates so that the occupants at X at the…

A: Concept: The Formula for Centripetal acceleration is  ac=v2rAnd We know,velocity=distance time…

Q: A cylindrical object (I =mr) rolls down a ramp. %3D a Derive an expression for the linear…

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Q: 1) A stopwatch starts while race car travels at 9 m/s from the pit area and accelerates at a uniform…

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Q: tangential acceleration

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Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

A: The speed of the satellite can be given by the equation, v=GMeR2 Here, G is the gravitational…

Q: A cannon fires a 10.0 kg cannonball horizontally from the top of a 50 m high cliff with an initial…

A: Given, mass of cannonball is, m = 10 kg cannon is at height, h = 50m the initial velocity of the…

Q: A roller-coaster car of mass 309 kg (including passengers) travels around a horizontal curve of…

A: Given Mass, m=309 kg Radius, r=35.2 m Speed, v=21.3 m/s

Q: a. You're driving over the top of a hill with a radius of 15.075 m. How fast would you need to drive…

A: In general case, the centrifugal force and the normal reaction will balance the weight. So we have…

Q: A small vehicle gains speed as it descends after passing through the apex A of a circular orbit with…

A: Given, Initial speed is 21.1 m/s and radius is 169 m

Q: Imagine you are on an amusement park and on a train ride. At some point the train ride follows a…

A: The expression for the centripetal acceleration is

Q: The centripetal acceleration of a particle moving in a circle is given by the formula a = s/r here r…

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Q: A ball having a mass of 5.2 kg is swinging at the end of a cord in a vertical circle of radius 2 m…

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