A 65.00-kg athlete applies a force of 400.0 N to a 25.00-kg cart, which is initially at rest, over a period of 2.00 s before jumping onto the cart. Assuming there is no friction between the cart and the road on which it runs, what is its velocity after the athlete jumps on?
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- After falling from rest from a height of 30.0 m, a 0.500-kgball rebounds upward, reaching a height of 20.0 m. If the contactbetween ball and ground lasted 2.00 ms, what average forcewas exerted on the ball?A 3.0-kg block (A) is attached to a 1.0-kg block (B) by a massless spring that is compressed and locked in place, as shown in the figure. The blocks slide without friction along the x-direction at an initial constant speed of v = 2.0 m/s. At Lee A A 000 B ell time to 0 s, the positions of blocks A and B are %3D 1.2 m, respectively, at which point a mechanism releases the spring, and the blocks begin to XA.i = 1.0 m and xB.i = XB.r oscillate as they slide. If 2.0 s later block B is located at xB.f = 7.5 m, what will be the position xA.f %3D of block A? XA,fTwo groups of canoeists meet in the middle of a lake. After a brief visit, a person in canoe 1 pushes on canoe 2 with aforce of 46 N to separate the canoes. The mass of canoe 1 and its occupants is m1 = 150 kg, and the mass of canoe 2 andits occupants is m2 = 250 kg. (a) Find the acceleration the push gives to each canoe. (b) What is the separation of thecanoes after 1.2 s of pushing?
- A pole-vaulter of mass 60.0 kg vaults to a height of 7.70 m before dropping to thick padding placed below to cushion her fall. If the padding brings her to a stop in a time of 0.490 s, what is the average force on her body due to the padding during that time interval?. In the movie The Rocketeer, a teenager discovers a jet-powered backpack in an old barn. The backpack allows him to fly at incrediblespeeds. In one scene, however, he uses the backpack to rapidly accelerate an old pickup truck that is being chased by “bad guys.” Hedoes this by bracing his arms against the cab of the pickup and firing the backpack, giving the truck the acceleration of a drag racer. Isthe physics of this scene “Good,” “Bad,” or “Ugly”? Explain.Your friend’s car has broken down, so you volunteer to push it with your own car to the nearestrepair shop, which is 2.0 km away. You carefully move your car so that the bumpers of the two carsare in contact. You then slowly accelerate to a speed of 2.5 m/s over the course of 1.0 min. The massof your friend’s car is 1.2 x 10 ^3 kg. Assume negligible friction.a) Calculate the normal force between the two bumpers. b) You then maintain a speed of 2.5 m/s. How long does it take you to reach the repair shop? c) Sketch the shape of a velocity time graph for the entire motion. d) Sketch the shape of a position time graph for the entire motion.
- An iceboat is at rest on a frictionless horizontal surface.Due to the blowing wind, 4.0 s after the iceboat is released, it is movingto the right at 6.0 m/s (about 22 km/h, or 13 mi/h). What constanthorizontal force FW does the wind exert on the iceboat? The combinedmass of iceboat and rider is 200 kg.A 115kg rugby player is initially running at 5.5 m/s in the + direction, but collides with a goalpost and experiences a backward force of 1.71 × 10^4 N for 5.25 × 10^-2 s. what is the final \velocity of the rugby player in the horizontal directionA 0.51 kg football is thrown with a velocityof 18 m/s to the right. A stationary receivercatches the ball and brings it to rest in 0.020s.What is the force exerted on the receiver?Answer in units of N.
- A box, initially at rest, has 23.1 N of force exerted in it for 5.69 s. If the box has a mass of 7.01 kg, what was its velocity and this time?Identical twins, each with mass 55.0 kg, are on ice skates andat rest on a frozen lake, which may be taken as frictionless.Twin A is carrying a backpack of mass 12.0 kg. She throws ithorizontally at 3.00 m/s to Twin B. Neglecting any gravityeffects, what are the subsequent speeds of Twin A and Twin B?Most of us know intuitively that in a head-on colli-sion between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Whyis this? Many people imagine that the collision forceexerted on the car is much greater than that exerted onthe truck. To substantiate this view, they point out that thecar is crushed, whereas the truck is only dented. This ideaof unequal forces, of course, is false; Newton’s third lawtells us that both objects are acted upon by forces of thesame magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two driv-ers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 8.00 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 80.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4 000 kg for the truck. If the colli-sion time is 0.120 s, what…