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- A 100-kg astronaut finds himself separated from his spaceship by 10 m and moving away from the spaceship at 0.1 m/s. To get back to the spaceship, he throws a 10-kg tool bag away from the spaceship at 5.0 m/s. How long will he take to return to the spaceship?How much fuel would be needed for a 1000-kg rocket (this is its mass with no fuel) to take off from Earth and reach 1000 m/s in 30 s? The exhaust speed is 1000 m/s.The two dynamics carts, one single cart of mass 1.0 kg, the other a double cartof mass 2.0 kg, each with essentially frictionless wheels, are in contact and at rest. The compressionspring on the single cart is suddenly released, causing the cart to exert an average force of 2.0 N [E] onthe double cart for 0.50 s Q1. . During the time interval that the springs acts ont the double cart, the force exerted by the double carton the single cart isa) 2.0 N [W] b)2.0 N [E] c) 0.0 N d) 4. 0 N [W]e) 4.0 N [E] Q2. . During the spring interaction, the net force acting on the single cart isa) 4. 0 N [W] b) 2.0 N [E]c) 2.0 N [W] d) 4.0 N [W]e) zero Q3.During the interaction, the acceleration of the double ca rt isa) 0. 33 m/?2 [E] b) 3.0 m/?2[E]c) 1.0 m/?2[E] d) 0.50 m/?2[E]e) 2.0 m/?2[E]
- 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?Two blocks of masses M and 3M are horizontal and frictionlessis on the surface. A massless spring with spring constant 96 N / m from blocksattached to one. Compressed between spring blocks and blocksIt is tied with a massless rope as shown in the figure. The rope holding the masses has been cutthen the 3M block is moving to the right at 2 m / s. In this caseafter the rope is cuta) What is the velocity of the block of mass M.b) If M = 0.5 kg, how much was the spring compressed before the rope was cut.A 48.3 kg student runs down the sidewalk andjumps with a horizontal speed of 4.34 m/sonto a stationary skateboard. The studentand skateboard move down the sidewalk witha speed of 4.07 m/s. a) Find the mass of the skateboard.Answer in units of kg. I got 3.204177 kg b) How fast would the student have to jumpto have a final speed of 5.27 m/s?Answer in units of m/s. I'm getting 5.6196 m/s, but my online homework is prompting me with an incorrect guess. My work is shown in the picture.
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- If you free the cork in a highly pressurized champagne bottle, the resulting launch ofthe cork will (in principle) cause the bottle to recoil. A filled champagne bottle has a mass of 1.7 kg. The cork has a mass of 7.3 g and is launched at 20 m/s. If the bottlecould move freely, with what speed would it recoil? Is this a speed you are likely to notice?The driver of a three-wheeler moving with a speed of 36 km/h sees a child standing in the middle of the ro ad and brings his vehicle to rest in 4.0 s just in time to save the child. What is the average retarding force on the vehicle? The mass of the three-wheeler is 400 kg and the mass of the driver is 65 kg.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.