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Usually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (Fig. P10.38A) so that
FIGURE P10.38
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Chapter 10 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?arrow_forwardUsually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (see figure A below) so that vi = 0. The dog then runs on top of the raft at vd = vd with respect to the water (see figure B below). The dog has one sixth the mass of the raft. Find an expression for the velocity of the raft after the dog began running. (Use the following as necessary: vd.) vr =arrow_forwardGrab a meter stick or any uniform thin piece of wood about 1m in length. (e.g. the handle of a broom with the head removed). Place your index fingers at either end so that you are holding the stick up with just two fingers. Move your fingers slowly together. Where do they end up? Describe the motion of your fingers. Explain why this happens.arrow_forward
- The robot moves the particle A (mass M) in the vertical plane using polar coordinate formulas r(t) = 1,2-0,6sin(2πt) [m] θ(t) = 0,5-1,5cos(2πt) [rad] in accordance with Determine the acceleration of the object in the θ direction [m/s2] at time t0=1.9s Use [m/s2] units GIVE ANSWER TO THREE DECIMALSarrow_forwardOn the surface of the Earth, a hammer and a feather are dropped from the same height at precisely the same moment. The feather impacts the Earth first because the force of gravity is weaker on the lighter feather. The hammer and feather both impact the ground at the same time. The hammer impacts the ground first because it is heavier than the feather. The feather hits the ground after the hammer because of air resistance.arrow_forward"A 60-kg person walks on a 100-kg log at the rate of 0.80 m/s (with respect to the log). With what speed does the log move, with respect to the shore?" O 0.24 m/s O 0.30 m/s O 0.48 m/s 0.60 m/sarrow_forward
- A baseball with a mass of 155 g is thrown horizontally with a speed of 40.2 m/s (90 mi/h) at a bat. The ball is in contact with the bat for 1.00 ms and then travels straight back at a speed of 46.0 m/s (103 mi/h). Determine the average force (in N) exerted on the ball by the bat. Neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (Indicate the direction with the sign of your answer.)arrow_forwardA Chinook salmon can swim underwater at 3.58 m/s, and it can also jump vertically upward, leaving the water with a speed of 6.26 m/s. A record salmon has length 1.50 m and mass 61.0 kg. Consider the fish swimming straight upward in the water below the surface of a lake. The gravitational force exerted on it is very nearly canceled out by a buoyant force exerted by the water. The fish experiences an upward force P exerted by the water on its threshing tail fin and a downward fluid friction force that we model as acting on its front end. Assume the fluid friction force disappears as soon as the fish’s head breaks the water surface and assume the force on its tail is constant. Model the gravitational force as suddenly switching full on when half the length of the fish is out of the water. Find the value of P.arrow_forwardA fisherman has caught a very large, 5.0 kg fish from a dock that is 2.0 m above the water. He is using lightweight fishing line that will break under a tension of 54 N or more. He is eager to get the fish to the dock in the shortest possible time. If the fish is at rest at the water’s surface, what’s the least amount of time in which the fisherman can raise the fish to the dock without losing it?arrow_forward
- As a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 45.0 kg. If this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.40 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following. (a) the salmon's acceleration m/s² upward (b) the magnitude of the force F during this intervalarrow_forwardAs a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by a tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 48.5 kg. if this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.80 m/s after two-thirds of its length has left the surface. what is the magnitude of the force F during the intervalarrow_forwardYou are pulling your younger sister along in a small wheeled cart. You weigh 65.0 kg and the combined mass of your sister and the cart is 35.0 kg. You are pulling the cart via a short rope which you pull horizontally. You hold one end of the rope and your sister holds the other end. If you are accelerating at a rate of 0.10 m s−2, the rope is inelastic, and the frictional force acting upon the cart is 30 N: a) What is the tension in the rope? (b) What force are you applying to the ground in order to produce this acceleration?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning