Two ice skaters at rest face each other in an Olympics doubles figure skating event. Skater 1 has a mass of 20 kg and skater 2 has a mass of 30 kg. Skater 2 pushes skater 1 with a force of magnitude (F) so that skater 1 moves backward at a speed of 3.0 m/s. As a result of the push, the speed of skater 2 is: (note: ignore friction due to the skates on the ice) 2 m/s 6 m/s O 1 m/s O 0 m/s
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- Consider a tennis ball of mass 0.040 kg making contact with a racquet at 23.7 m/s for 1.30 ms. If the return speed (assume 1-D motion) is 22.4 m/s, calculate the magnitude of the average force on the ball by the racquet. 0.900 x 10³ N O 1.260 x 10³ N 1.245 x 10³ N O 2.170 x 10³ N O 1.420 x 10³ NA hockey puck sits at rest on a frictionless surface. The puck is pushed with a particular constant force for 3 seconds and achieves a speed of 5 m/s. In order to achieve a the same speed with a force half as strong as the original one the hockey puck needs to be pushed for O 3 seconds 6 seconds 9 secondsTwo objects (m1=11.0 kg and m2=3.00 kg) are separated by 40.0 cm. A third object (m3=1.00 kg) is placed at a location along the line connecting them such that the net force acting on it is zero. By considering the force vectors, this location must be between the two original objects. We will define x as the distance between m1 and m3 and y as the distance between m2 and m3. 1) Find the distance between 11.0-kg object and 1.00-kg object along the line AB where a small, 1.00-kg object could rest such that the net gravitational force on it due to the two objects shown is exactly zero. (Express your answer to two significant figures.)
- On an essentially frictionless, horizontal ice rink, a skater moving at 4.0 m/s encounters a rough patch that reduces her speed by 44% due to a friction force that is 28% of her weight.A loaded tractor-trailer with a total mass of 5500 kg traveling at 2.5 km/h hits a loading dock and comes to a stop in 0.56 s . What is the magnitude of the average force exerted on the truck by the dock?A 54.9-kg skater is standing at rest in front of a wall. By pushing against the wall she propels herself backward with a velocity of -1.93 m/s. Her hands are in contact with the wall for 1.09 s. Ignore friction and wind resistance. Find the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her). Note that this force has direction, which you should indicate with the sign of your answer. Number -9.72 Units
- Problem 1: A stationary soccer ball of mass m= 0.74 kg is kicked with a constant force of F = 19 N. The player's foot is in contact with the ball for t = 0.39 s.An electron with a speed of 1.0 x 10' m/s moves horizontally into a region where a constant vertical force of 4.8 x 10 16 N acts on it. The mass of the electron is 9.11 x 1031 kg. Determine the vertical distance the electron is deflected during the time it has moved 42 mm horizontally.A man ( mass = 100 kg) fall freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of .2s. The average force exerted on her by the ground is + 2000 N, where the upward direction is taken to be the positive direction. A) from what height did he just fall? Assume the only force acting on him during the collision is that of the ground. B) suppose instead of the man, a 5 kg rubber ball was dropped from the same vertical distance and the ball bounced back conserving the linear momentum. What would be the velocity of the ball just when it bounced back?
- A high-speed photograph of a club hitting a golf ball is shown in the figure below. The club was in contact with a ball, initially at rest, for about 0.0017 s. If the ball has a mass of 55 g and leaves the head of the club with a speed of 2.3 ✕ 102 ft/s, find the average force (in kN) exerted on the ball by the club. kNA 2.50 kg box sits halfway up a 16.0 m long ramp that is inclined at an angle of 16.00. You shove a second box, of mass 1.50 kg, that's at the bottom of the ramp, so that it starts sliding up the ramp with a speed of 20.0 m/s. It hits the first box, sticks to it, and they both continue to slide up the ramp. The coefficient of kinetic friction between the boxes and the ramp is 0.200. Where, from the bottom of the ramp, do they come to rest?Assume the three blocks (m1= 1.0 kg, m2 = 2.0 kg,, and m3 = 3.5 kg) portrayed in the figure below move on a frictionless surface and a force F = 48 N acts as shown on the 3.5 kg block. Three blocks of mass m1, m2, and m3 are placed on a horizontal surface. Block m1 is taller than m2 and touches its leftmost surface. Block m3 is some distance to the right of block m2. A cord, passing over block m2, connects blocks m1 and m3. A horizontal force vector F is applied to block m3 and directed rightward. Determine the tension in the cord connecting the 3.5 kg and the 1.0 kg blocks (in N). If the 2.0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.)