The 300-kg mine car is hoisted up a 20° incline using the cable and motor M. For a short time, the force in the cable is F= (400t+1900) N, where t is in seconds. If the car starts from rest at t = 0, find its velocity when t = 3s 9.81 m/s2 = 32.2 ft/s² v=? @t=3s 20⁰
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- A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?a student is skateboarding down a ramp that is 5.82 m long and inclined at 24.1% with respect to the horizontal. the initial speed of the skateboarder at the top of the ramp is 3.75 m/s. neglect friction and find the speed at the bottom of the ramp.Objects of masses m = 4.0kg and m 9.0 kg are 1 2 connected by a light string that passes over a frictionless pulley in the figure. The object m, is held at rest on the floor, and m rests on a fixed incline of 2 0 = 40.5°. The objects are released from rest, and m 2 slides 1.3m down the slope of the incline in 3.95s. (a) m Find the magnitude of the acceleration (in ) of either S 2 mass. (b) Find the coefficient of kinetic friction between m and the incline. 2
- If a 3.58 kg object is placed on a frictionless incline of 59.5 º and released from rest, what is speed of the object down the incline after traveling a distance of 1.06 m? Enter a number rounded to 2 decimal places and assume it has proper SI units.Two blocks are connected by a massless rope over a massless, frictionless pulley, as shown in the figure. The mass of block 2 is m2 12.1 kg, and the coefficient of kinetic friction 0.200. The angle 0 of between block 2 and the incline is µk the incline is 33.5°. If block 2 is moving up the incline at 2 constant speed, what is the mass mj of block 1? 1 kg M¡ =A skateboard with mass of 50kg is pulled without friction across the ground by a rope that makes an angle of 20 degrees with the horizontal. What force on the rope would be required to move the skateboard at a constant speed of 20 m/s?
- A frictionless plane is 10.0 m long and inclined at 33.5°. A sled starts at the bottom with an initial speed of 4.70 m/s up the incline. When it reaches the point at which it momentarily stops, a second sled is released from the top of this incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment.An adventurous archeologist (m = 85.5 kg) tries to cross a river by swinging from a vine. The vine is 11.0 m long, and his speed at the bottom of the swing is 7.50 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? Yes Noved 161 A single cable is wrapped from the center of pulley A, around pulley B, and around pulley A. This cable is pulled downward at 2 m/s. At what speed does pulley B move upward? V = 1 S L= take a time derivitive 0-2 VAB+ VAC dB C WEIGHT 2 m/s de
- An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine is10.0 m long and his speed at the bottom of the swing is 8.00 m/s. The archeologist does not know that the vine has a breaking strength of 1,000 N. Does he make it across the river without falling in?A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.63 m above the bottom of the chute with an initial speed of 1.41 m/s . The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.273 . How far from the bottom of the chute does the toy zebra come to rest? Assume ?=9.81 m/s2 .A woman at an airport is rolling her suitcase (mass = 20 kg) at an initial velocity of 1 m/s by pulling on a strap at an angle of 30° above the horizontal with a force of 33 N. The woman starts to speed up when she realizes that she is late for her flight. She pulls the suitcase over a distance of 50 m as she walks to her gate. What is the speed of the suitcase when she reaches her gate? (You can neglect friction in this problem. Give your answer in m/s.)