A plane has to drop a food package to refugees. It travels at 200 km/hour. If the mass of the package is 20 kg with what momentum will it hit the ground?
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- At what distance d, in kilometers, from the surface of the earth on a line fromcenter to center would the gravitational force of the earth on a rocket be threetimes the gravitational force of the moon on the rocket?On Mars, the acceleration due to gravity is 6.64 m/s2. What would a rock’s speed be 6 s after you dropped it on Mars?Mountaineersoften use a rope to lower themselvesdown the face of a cliff (this is called rappelling).They do this with their body nearly horizontaland their feet pushing against the cliff. Suppose that an 82.0 kg climber,who is 1.90 m tall and has a center of gravity1.1 m from his feet, rappels down a verticalcliff with his body raised 35.0° above the horizontal.He holds the rope 1.40 m from his feet,and it makes a 25.0° angle with the cliff face.(a) What tension does his rope need to support?(b) Find the horizontal and vertical componentsof the force that the cliff face exerts on theclimber’s feet. (c) What minimum coefficientof static friction is needed to prevent the climber’sfeet from slipping on the cliff face if he hasone foot at a time against the cliff?
- For masses and are 200 kg, 300 kg, 240 kg, and 260kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively and the angles between successive masses are 45 , 75 and 135 . Find the position and magnitude of the balance mass required, if it’s radius of rotation is 1.4 m.Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 29 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.15 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. a. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)The elevator car, including passengers, has a mass of 1800 kg. Each floor of the building is separated by 4 m (i.e., the ground floor is at 0 m, the 1st floor is at 4 m, the 2nd floor is at 8 m, etc.) and the top floor is the 10th floor. The elevator goes up from the ground floor, starting at rest. It accelerates at a constant rate of 0.25 m/s2 up to the 5th floor, then decelerates at the same rate (acceleration of -0.25 m/s2 ) until coming to a stop at the 10th floor. a. At which floor (or, if you prefer, what height from the ground) does the elevator have the maximum total energy? b. Assuming that friction and drag forces are negligible, how much work is done by the tension force (in the cable that pulls the elevator up) in moving the elevator from the ground floor to the top floor? c. Assuming instead that friction and drag forces are constant over the entire ascension, and equal to 250 N, how much work is done by the tension force in moving the elevator from the ground floor to…
- A ball is thrown straight up at 25 m/s from just off the edge of a 20 meter cliff. (a) How high does it go? (b) How much time will it take to fall to the ground at the base of the cliff? (c) How fast will it be going. To promote their new album, Black Pink decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto an 850 [kg] rocket. It blasts off vertically from a launchpad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launchpad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad? (c) How fast will the satellite be moving just before it crashes?Two blocks 1 and 2 are connected by a rope over a pulley as shown. The pulley is very light (massless) and rotates with essentially no friction. Calculate the mass of block 1, m1, given that the mass of block 2 is m2=5.5 kg and that block 2 moves and accelerates downwards at 3.57 m/s2 when θ=35∘ and μk=0.4. I think that I need to be using Newtons second law but I just dont know how to solve this. Can you please help?
- A diver of 50 kg jumps from a platform 20m high into a pool. If the diver decelerates at a constant rate of 0 velocity in 0.8 seconds after hitting the water, what is the force that water exerts on the diver? Where g= 10 m/s² (unit in newtons)This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…Two forces are acting on an aircraft of mass 2000 kg as shown figures determine the acceleration of the aircraft?