Question

In: Physics

A child is on a rope swing. When the child and swing are at their highest...

A child is on a rope swing. When the child and swing are at their highest point, the rope makes an angle of 30 degrees with the vertical. The rope is 4.17m long. What is the child's speed when the rope makes an angle of 20 degrees with the vertical? Give your answer in meters per second.

Solutions

Expert Solution


Related Solutions

A child swings on a 14 m rope. The highest point of her swing is 3...
A child swings on a 14 m rope. The highest point of her swing is 3 m above the ground. When the child is at the lowest point, 1 m above the ground, what is her speed?
A rope is tied to a tree limb and is used by a swimmer to swing...
A rope is tied to a tree limb and is used by a swimmer to swing into the water. The person starts from rest with the rope held in the horizontal position, as shown in the figure on the power point file attached, swings downward and then let go of the rope. His initial height is h0 = 415 m and final height is hf = 105 m. If the force due to air resistance is neglected, (30%) What is...
A swing is made from a rope that will tolerate a maximum tension of 4.95 x...
A swing is made from a rope that will tolerate a maximum tension of 4.95 x 102 N without breaking. Initially, the swing hangs vertically. The swing is then pulled back at an angle of 35.6 ° with respect to the vertical and released from rest. What is the mass of the heaviest person who can ride the swing?
A 23.0-kg child on a 4.00-m-long swing is released from rest when the ropes of the...
A 23.0-kg child on a 4.00-m-long swing is released from rest when the ropes of the swing make an angle of 25.0° with the vertical. (a) Neglecting friction, find the child's speed at the lowest position. m/s (b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction? J
A child swinging on a swingset with chains of length l wants to swing and jump...
A child swinging on a swingset with chains of length l wants to swing and jump off the swing to get as far as possible. At what angle θ_jump should the child let go of the swing to maximize the landing distance? What is the distance jumped as a function of θ_jump? Results should be functions of θ_jump and variables/parameters which should be introduced as required. Model swinging using simple pendulum and jumping using projectile motion. Note, the child is...
The maximum speed of a child on a swing is 5.90 m/s. The child’s height above...
The maximum speed of a child on a swing is 5.90 m/s. The child’s height above the ground is 0.790 m at the lowest point in his motion. How high above the ground is he at his highest point? m
1) A child is swinging from a suspended rope 4.0 m long that will break if...
1) A child is swinging from a suspended rope 4.0 m long that will break if the tension equals twice the weight of the child. a) What is the greatest angle the rope can make with the vertical during a swing if the rope is not to break? b) If the angle slightly exceeds that found in part (a), what is the speed of the child when the rope breaks?
A 35.0-kg child swings in a swing supported by two chains, each 2.92 m long. The...
A 35.0-kg child swings in a swing supported by two chains, each 2.92 m long. The tension in each chain at the lowest point is 342N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward)
A child swings back and forth on a rope every 5s without significant damping taking place....
A child swings back and forth on a rope every 5s without significant damping taking place. a. Create a position versus time graph of the child’s motion. b. Create a velocity versus time graph of the same child’s motion that corresponds to the previous graph. c. Create an acceleration versus time graph of the same child’s motion that corresponds to the previous graph. d. Create a restoring force versus time graph of the same child’s motion that corresponds to the...
Suppose there is a rope company that produces rope by the bundle. The length of a...
Suppose there is a rope company that produces rope by the bundle. The length of a bundle (in meters) is a random variable X~N(50,0.2). Calculate the following probabilities. A.) The length of the bundle is less than 50.19 m B.) the length of the bundle is greater than 50.16 m C.) The length of the coil is between 50.16 m and 50.19 m D.) Determine the positive number a such that p (50-a ≤ X ≤ 50 + a) =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT