Vectors problems
1. A lift weighs 4000N and has 2 passengers each of weight 700N. What is the tension in the lift cable when the lift is: a) rising at a steady speed, b) moving down at a steady speed.
2. A picture of weight 25N hangs from a hook by two strings which make an angle 35o with the vertical, What is the tension in each string?
3. A child drags a sledge along horizontal ground at a constant velocity by pulling on a rope inclined at 30 degrees to the ground. The drag on the sledge is 50N. What is the tension in the rope?
4. A parent holds a small child in a swing so that the angle of the swing is at 20o to the vertical. The child's weight is 200N and the swing weighs 50N. What horizontal force must the parent apply?
5. A 1kg camera is supported on a light symmetrical tripod whose legs each make an angle of 25 degrees with the vertical.
(a) What is the compressive force on each leg? (What does compressive mean?)
(b) What horizontal force does each leg exert on the ground?
6. When a pressure of 4.50 N/mm2 is applied to your skin it hurts, each nail in a bed of nails has a point with an area of 1.50 mm2.
(a) How much weight can a teacher place on one nail before being hurt?
(b)The teacher's weight is 690N. How many nails (at least) should he/she put into the bed?
(c) Explain why he/she must be very careful getting on and off the bed.
Please help
Answers
Vectors problems
1. A lift weighs 4000N and has 2 passengers each of weight 700N. What is the tension in the lift cable when the lift is: a) rising at a steady speed, b) moving down at a steady speed.
2. A picture of weight 25N hangs from a hook by two strings which make an angle 35o with the vertical, What is the tension in each string?
3. A child drags a sledge along horizontal ground at a constant velocity by pulling on a rope inclined at 30 degrees to the ground. The drag on the sledge is 50N. What is the tension in the rope?
4. A parent holds a small child in a swing so that the angle of the swing is at 20o to the vertical. The child's weight is 200N and the swing weighs 50N. What horizontal force must the parent apply?
5. A 1kg camera is supported on a light symmetrical tripod whose legs each make an angle of 25 degrees with the vertical.
(a) What is the compressive force on each leg? (What does compressive mean?)
(b) What horizontal force does each leg exert on the ground?
6. When a pressure of 4.50 N/mm2 is applied to your skin it hurts, each nail in a bed of nails has a point with an area of 1.50 mm2.
(a) How much weight can a teacher place on one nail before being hurt?
(b)The teacher's weight is 690N. How many nails (at least) should he/she put into the bed?
(c) Explain why he/she must be very careful getting on and off the bed.
Answer:
Vectors problems
1. A lift weighs 4000N and has 2 passengers each of weight 700N. What is the tension in the lift cable when the lift is: a) rising at a steady speed, b) moving down at a steady speed.
2. A picture of weight 25N hangs from a hook by two strings which make an angle 35o with the vertical, What is the tension in each string?
3. A child drags a sledge along horizontal ground at a constant velocity by pulling on a rope inclined at 30 degrees to the ground. The drag on the sledge is 50N. What is the tension in the rope?
4. A parent holds a small child in a swing so that the angle of the swing is at 20o to the vertical. The child's weight is 200N and the swing weighs 50N. What horizontal force must the parent apply?
5. A 1kg camera is supported on a light symmetrical tripod whose legs each make an angle of 25 degrees with the vertical.
(a) What is the compressive force on each leg? (What does compressive mean?)
(b) What horizontal force does each leg exert on the ground?
6. When a pressure of 4.50 N/mm2 is applied to your skin it hurts, each nail in a bed of nails has a point with an area of 1.50 mm2.
(a) How much weight can a teacher place on one nail before being hurt?
(b)The teacher's weight is 690N. How many nails (at least) should he/she put into the bed?
(c) Explain why he/she must be very careful getting on and off the bed.
Please help