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 person whose mass is 80 kg is being raised up the side of a cliff...
A 1200-kg car is being raised with a constant acceleration of 2.53 m/s2 by a crane, using a 20-m long steel cable that is 1.5 cm in diameter. Young's modulus for steel is 2.0 × 1011 N/m2. What is the change in length of the cable caused by lifting the car?
A 107 kg mass suspended from a wire whose unstretched length is 4.05 m is found to stretch the wire by 6.40 mm . The wire has a uniform cross-sectional area of 0.130 cm2. a) If the load is pulled down a small additional distance and released, find the frequency at which it vibrates (in Hz). b) Compute Young's modulus for the wire.
A single mass m1 = 3.5 kg hangs from a spring in a motionless elevator. The spring is extended x = 15 cm from its unstretched length. 1) What is the spring constant of the spring? Now, three masses m1 = 3.5 kg, m2 = 10.5 kg and m3 = 7 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above. What is the force the top...
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 single mass (m1 = 4.4 kg) hangs from a spring in a motionless elevator. The spring constant is k = 270 N/m. 1) What is the distance the spring is stretched from its unstretched length? 2) Now, three masses (m1 = 4.4 kg, m2 = 13.2 kg and m3 = 8.8) hang from three identical springs in a motionless elevator. The springs all have the same spring constant given above. What is the magnitude of the force the bottom spring exerts on the...
I need the answers for # 5 and #8 2) m m mi Now, three masses m, = 4.8 kg, m2 = 14.4 kg and m2 = 9.6 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above. What is the force the top spring exerts on the top mass? 282.64 N Submit + 3) What is the distance the lower spring is stretched from its equilibrium...
A bucket of water of mass 15.7 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.280 m with mass 11.4 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.6 m to the water. You can ignore the weight of the rope. Part A What is the tension in the rope while...
A person whose weight is 521 N is being pulled up vertically by a rope from the bottom of a cave that is 33.5 m deep. The maximum tension that the rope can withstand without breaking is 583 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?
A person whose weight is 516 N is being pulled up vertically by a rope from the bottom of a cave that is 33.9 m deep. The maximum tension that the rope can withstand without breaking is 581 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?
A bucket of water of mass 14.4 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.350 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.0 m to the water. You can ignore the weight of the rope. Take the free fall acceleration to be g = 9.80...