A 2.0 kg ball at the end of a 1.8 m string swings in a vertical plane. At its lowest point the ball is moving with a speed of 16 m/s. (a) What is its speed (in m/s) at the top of its path?  m/s (b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path? bottom of its path Ntop of its path N

1. You are conducting an experiment to find the kinetic coefficienct of friction between a 5kg box and a ramp. The ramp has an angle of 25° above the horizontal. You start the box from rest. release it. and let it slide down the ramp. a) If the box starts at a height of 1 meter above the ground. what is the theo- retical value of its velocity at the bottom of the ramp? b) When you do the experiment, you find that the experimental value of the final velocity is 3.5 m/s. How much mechaical energy was “lost”? c) Assume that all of the mechanical energy 'lost' in part b) was due to Friction. Draw a free-body diagram. and determine the magnitude of the Normal Force acting on the box. d) Using the Normal force, determine the co-efficient of friction between the box and the ramp, if the system lost the amount of energy you caculated in part b). Hint: Use the work done by friction.

A 2.0 kg ball at the end of a 1.1 m string swings in a vertical plane. At its lowest point the ball is moving with a speed of 17 m/s. (a) What is its speed (in m/s) at the top of its path? m/s (b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path? bottom of its path N top of its path N

A 0.350 kg potato is tied to a string with length 2.80 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released. What is the speed of the potato at the lowest point of its motion? Take free fall acceleration to be 9.80 m/s2.

3. A pendulum consists of a 2.0 kg stone swinging on a 4.0 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. (a) (b) stone's motion? What is the speed when the string is at 60° to the vertical? What is the greatest angle with the vertical that the string will reach during the

An adventurous archeologist (m = 83.5 kg) tries to cross a river by swinging from a vine. The vine is 12.0 m long, and his speed at the bottom of the swing is 8.85 m/s. The archeologist doesn't know that the vine has a breaking strength of 1,000 N. Does he make it safely across the river without falling in? O Yes O No Need Help? Read It

You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)

A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum is m. With rope horizontal θ = 90o When it makes an angle of degrees, we first leave the object at no speed. Any friction can be neglected. Gravitational acceleration g. Give your answers in terms of l, m and g. Pendulum to the lowest point (= 0o ) What is the speed when it arrives?

A particle of mass m moves in the XY-plane, and its position vector is given by = a cos wtî + b sin wtĵ where a, b, and w are positive constants, and a > b. Show that a. The particle moves in an ellipse. b. The force acting on the particle is always directed toward the origin. c. The total work done by the force in moving the particle once around the ellipse is zero d. The force is conservative.

A 0.230 kg potato is tied to a string with length 1.70 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released. 1) What is the speed of the potato at the lowest point of its motion?   2) What is the tension in the string at this point?