An astronaut of 100 kg at 100 meters from his spaceship finds himself hopelessly drifting away at a speed of 36.63 m/s, he decides to throw a heavy wrench (10 kg) to rescue himself. With what speed (relative to himself) does he need to throw the wrench in order to slow down by 2.90 meter per second of the initial drifting speed (albeit still drifting away)? Note: world record of baseball pitch is a little over fifty meter per second.
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- Consider the following question: A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg. Would the answer to this question be different if the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed? Explain your answer.Please help me answer thisThere are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3,If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the average force from 2 on1?
- There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3, If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the change in momentum forparticle 2?A 2.4-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is +4.0 m/s, and the second cart's velocity is -2.5 m/s. (a) What is the total momentum of the system of the two carts at this instant? (b) What was the velocity of the first cart when the second cart was still at rest? (a) Number (b) Number i Units Units+ Algebraic manipulation. Two automobiles traveling at right angles to each other collide and stick together. Skid marks show the wreckage was traveling 21° from the original direction of car A. Find the original speed of car B in terms of car A's original speed (VA) if their masses are related by ßmд where ß =1.9. Fill in the missing factor below. MB UB VA Record your numerical answer below assuming three significant figures. Remember to include a "-" when necessary. HOLDe
- Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.2 × 104 kg (about 32 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 23.0 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 7₁ = mk A 13.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by = 10t² + 1tj where is in meters per second and t is in seconds. (Use the following as necessary: t.) V (a) Find its position as a function of time. ŕ= esc 10/³1 + ²/2 2²; 3 (b) Describe its motion qualitatively. The particle starts from rest at the origin, starts moving in the y direction, and gains speed faster and faster while turning to move more and more nearly parallel to the x axis. Score: 0.06 out of 0.06 Comment: (c) Find its acceleration as a function of time. a = 20ti + lj m/s² (d) Find the net force exerted on the particle as a function of time. F= T= (e) Find the net torque about the origin exerted on the particle as a function of time. N m X X (f) Find the angular momentum of the particle as a function of time. Ľ Need Help? Read It F1 N x (g) Find the kinetic energy of the particle as a function of time. K= x kg m²/s X (h) Find the power injected into the particle as a…Lionel Messi scores a last second goal and, in celebration, runs as fast as he can, drops to his knees and slides along the wet grass of the field. Messi has been clocked (this is true) at a top speed of 9 meters per second in a game. Let's take this as his maximum velocity and the speed he is moving right before he drops down to slide.Take Messi's mass to be 72 kilograms, and take the coefficient of kinetic friction between skin and wet grass to be 0.4How far does Messi slide?
- A hammer of mass m = 0.465 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 0.95 cm into a board Part A) what is the duration of the impact, in seconds, assuming the acceleration of the hammer is constant? Part B) what is the average force, in newtons, exerted on the nail?A cosmic ray muon with mass mμ = 1.88 ✕ 10−28 kg impacting the Earth's atmosphere slows down in proportion to the amount of matter it passes through. One such particle, initially traveling at 2.42 ✕ 106 m/s in a straight line, decreases in speed to 1.60 ✕ 106 m/s over a distance of 1.10 km. (a) What is the magnitude of the force experienced by the muon? N(b) How does this force compare to the weight of the muon? |F| Fg =