14. A box is raised using a rope. If the acceleration of the box, is 6.1 m/s2 (upward) and the tension in the rope is 61 N, what is the mass of the box (in kg)?
Here accelaration due to gravity and accelaration of rope are in opposite direction
Resultant acc = aR = (g+a)
tension in rope ( T ) = Weight of object ( W )
T = mass of object * Resultant accelaration
T = m * ( g + a)
61 = m * ( 9.8 + 6.1 )
Mass of box = m = 61 / 15.9 = 3.83 kg
14. A box is raised using a rope. If the acceleration of the box, is 6.1...
A 4.61 -kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.37 m/s2 , find the force (N) exerted by the rope on the bucket.
A 3.2 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 2.7 m/s2, find the force exerted by the rope on the bucket. N
A 4.7-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.6 m/s2, find the force exerted by the rope on the bucket.
A 4.9-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 2.6 m/s2, find the force exerted by the rope on the bucket.
6. A5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.00 m/s2, find the force exerted by the rope on the bucket. A 19.4 kg child must exert a 350.0 N radial force in order to remain on her mount on the outer edge of a merry-go-round. Assuming that the child is moving at 8.00 m/s, what is the diameter of the merry-go-round? 7.
A 57.0 kg box hangs from a rope. What is the tension in the rope if: A) The box is at rest? B)The box moves up a steady 5.20 m/s ? C)The box has vy = 4.90 m/s and is speeding up at 4.70 m/s2 ? The y axis points upward. Express your answer with the appropriate units. D)The box has vy = 4.90 m/s and is slowing down at 4.70 m/s2 ?
The figure below shows two boxes connected to each other by a light rope that passes over a pulley with negligible friction. The box of mass m, = 5.40 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.2 kg hangs vertically. mi (a) What is the magnitude of the acceleration of each box (in m/s?)? (Here, a, is the acceleration of m,, and a, is the acceleration of m.) a1 = az...
A person whose mass is 80 kg is being raised up the side of a cliff by a rope with a diameter of 2 cm. They are moving upward with an acceleration of 1 m/s2. The unstretched length of the rope from the top of the cliff to the person is 10 m. The Young's modulus of the rope is 5 X 107 N/m2. What distance does the rope stretch? Ignore the weight of the rope.
A 58.0 kg box hangs from a rope. What is the tension in the rope if: Part A The box is at rest? Express your answer with the appropriate units. Part B The box moves up a steady 4.90 m/s ? Express your answer with the appropriate units. Part C The box has vy = 4.60 m/s and is speeding up at 4.90 m/s2 ? The y axis points upward. Express your answer with the appropriate units. Part D The...
A 62 kg circus performer is climbing up a rope (of negligible mass) with an acceleration of 1.2 m/s2 What is the tension in the rope expressed in Newtons?