The cars of a roller-coaster ride have a speed of 30km/h as they pass over the top of the circular track neglect any friction and calculate their speed v when they reach the horizontal bottom position. At the top position, the radius of the circular path of their mass centres is 18m, and all six cars have the same mass. Also draw FBD.

Q: If the jets exert a vertical thrust of T = (500t3/2)N, where t is in seconds, determine the man's…

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Q: The 12-Mg truck drives onto the 203-Mg barge from the dock at 28 km/h and brakes to stop on the…

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Q: The 30-Mg aircraft is climbing at the angle 0 = 15° under a jet thrust T of 180 kN. At the instant…

A: Calculate the mass of the aircraft. Calculate the weight of the aircraft.

Q: The 280-Mg jet airliner has three engines, each of which produces a nearly constant thrust of 229 kN…

A:

Q: A 8.7-Mg truck is resting on the deck of a barge which displaces 235 Mg and is at rest in still…

A:

Q: A toboggan having a mass of 14 kg starts from rest at A and carries a girl and boy having a mass of…

A: We have given, A toboggan having a mass of 14 kg starts from rest at A and carries a girl and boy…

Q: The small body has a speed va = 6.0 m/s at point A. Neglecting friction, determine its speed at…

A: We applied energy conservation equation between point A and point B, the velocity at point B is…

Q: The cars of an amusement park ride have a speed Va = 23 m/s at A and a speed ve = 13 m/s at B. If a…

A: Given: VA=23 m/sVB=13 m/smass of the rider, m=50 kg

Q: The spring has an unstretched length of 0.37 m and a stiffness of 121 N/m. The 2.5-kg slider and…

A:

Q: The 2-Mg car increases its speed uniformly from rest to 25 m/s in 30 s up the inclined road.…

A: Given Data The mass of the car is 2Mg the car increase speed 0 to 25m/s it takes 30sec The car…

Q: Put a marble with the mass m = 4.5g into a jar with honey. The drag force F exerted by the box is…

A: Given data mass of marble = 4.5 gram = 4.5 x 10-3 kg medium : honey

Q: The track for this racing event was designed so that the riders jump off the slope at 30°, from a…

A: Given Data: The angle of projection is θ=30°. The time of flight is t = 1.5 s. The height of the…

Q: Calculate the maximum velocity of slider B if the system is released from rest with x y. Motion is…

A: Refer the given figure and apply the Pythagorean Theorem.

Q: The 3090-lb car is traveling at 24 mi/hr when the driver applies the brakes, and the car continues…

A: Given data:

Q: The 15-Mg truck drives onto the 261-Mg barge from the dock at 18 km/h and brakes to stop on the…

A:

Q: The small body has a speed va = 6.7 m/s at point A. Neglecting friction, determine its speed at…

A:

Q: The 222-kg lunar lander is descending onto the moon's surface with a velocity of 4.5 m/s when its…

A:

Q: The balloon A is ascending at rate v, and is being carried horizontally by the wind at vyw. If a…

A:

Q: A 9.1-Mg truck is resting on the deck of a barge which displaces 261 Mg and is at rest in still…

A:

Q: The figure shows a cart A of mass mĄ = 25 kg by a cord having a length of 2 m. If the system is…

A:

Q: Block A has a weight of 10 lb., and block B has a weight of 30 lb. Determine the speed of block B…

A:

Q: Cylinder A. has a mass of 3 kg and cylinder B has a mass of 8 kg. Determine the speed of A after it…

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Q: A small rocket-propelled test vehicle with a total mass of 100kg starts from rest at A and moves…

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Q: Q17. As shown in the image below, the 0.5-kg ball strikes the rough ground and rebounds. The…

A:

Q: 150 KN The 12-Mg "jump jet" shown in Fig. 4a is capable of taking off vertically from the deck of a…

A: Given data - Vertical force = 150KN Time = 6 sec

Q: During operation, the pneumatic hammer hits the soil surface with the force indicated in the graph.…

A: Given data: -  The mass of the hammer is m = 2 kg. The velocity of the hammer towards ground…

Q: Q2 In figure, the skier (mass of 70 kg) starts from rest at A and travels down the ramp. If…

A: Given: m=70 kgH=50 mh=4 mθ=30° Solution: at the position B: height from the reference : hB=50-4=46 m…

Q: During a race the dirt bike was observed to leap up off the small hill at (A) at an angle of ( 60° )…

A:

Q: Determine the speed v which the 605-kg four-man bobsled must have in order to negotiate the turn…

A: Given:            Mass : 605 kg

Q: The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an…

A: Given: F = 2 N m = 1 kg k = 5N/m     The free body diagram of the sleeve is given below:

Q: The 323-Mg jet airliner has three engines, each of which produces a nearly constant thrust of 231 kN…

A:

Q: The 8735 kg helicopter is takes off vertically with its rotor exerting a constant upward thrust of…

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Q: a) The limiting speed of the mini bus on this curve. b) The normal reactions developed at the inner…

A: we are to calculate the limiting velocity and normal reactions on the tyres

Q: Block A has a weight of 60 lb and block B has a weight of 10 lb. Neglect friction and the mass of…

A:

Q: 6. The 12-Mg "jump jet" is capable of taking off vertically from the deck of a ship. If its jets…

A: Given data   Vertical force = 150KN   Time = 6 sec

Q: As the 39500-lb airplane takes off, the tangential component of force exerted on it by its engines…

A: Given:mass of the airplane, m=39500 lbtangential component of force, Ft=53000 lbacceleration due to…

Q: Q5 : The person at A try to throw a stone over the roof of a bam such that it is launched at an…

A: Angular velocity is the rotational velocity of a body. It is equal to the angular distance covered…

Q: The 2-kg block B and 15-kg cylinder A are connected to a light cord that passes through a hole in…

A: The free-body diagram of block B is shown in Fig. (a). The tension in the cord is equal to the…

Q: Determine the speed v which the 630-kg four-man bobsled must have in order to negotiate the turn…

A:

Q: The 300-Mg jet airliner has three engines, each of which produces a nearly constant thrust of 240 kN…

A:

Q: Calculate the maximum velocity of slider B if the system is released from rest with x = y. Motion is…

A: Given

Q: The 12-Mg truck drives onto the 366-Mg barge from the dock at 27 km/h and brakes to stop on the…

A: Write the given data. Mbarge=366 MgVi, barge=0Vf,barge=vMtruck=12 MgVi, truck=27 km/hVf,truck=0

Q: The 188-lb car of an amusement park ride is connected to a rotating telescopic boom. When r= 15 ft,…

A:

Q: Neglect the friction of the 40-lb collar against its vertical guide and compute the velocity of the…

A:

Q: The 0.56 kg ball strikes the rough ground and rebounds with the velocity v2 as shown in the…

A: Given; m=0.56 kgv1=18 m/sv2=3 m/sθ1=51°θ2=14°

Q: 3 m 6 m Determine the minimum initial velocity vo and the corresponding angle 0, at which the ball…

A:

Q: The 193-kg lunar lander is descending onto the moon's surface with a velocity of 7.5 m/s when its…

A: m=193 kgVelocity v1=7.5 m/secThrust =T time t=4.1 sec ,gmoon=1.62 m/sec2

Q: The 220-kg glider B is being towed by airplane A, which is flying horizontally with a constant speed…

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Q: 2. At the start, Box A has a speed of 3 m/s upward the inclined plane with a kinetic friction equal…

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Q: The 12-Mg truck drives onto the 396-Mg barge from the dock at 17 km/h and brakes to stop on the…

A: For solution refer below images.

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.