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- what would the average force be on the pier exerted by the ship?(b) What is the minimum coefficient of friction between her shoes and the cliff?During a car crash a 65 kg person’s head goes from travelling at 50 km h−1 to stationary in 0.15 s. (a) What is the magnitude of the average net force acting on the head of a person with a 4.5 kg head? (b) How does this compare with the weight force acting on the person?
- (III) A person jumps from the roof of a house 2.8 m high.When he strikes the ground below, he bends his knees sothat his torso decelerates over an approximate distance of0.70 m. If the mass of his torso (excluding legs) is 42 kg,find (a) his velocity just before his feet strike the ground,and (b) the average force exerted on his torso by his legsduring deceleration.4. The exit of a freeway has been designed so that a car can travel safely around the curved section of the ramp when the road is wet. The banking angle enables a car to travel around the curved section without relying on friction, as shown in the diagram below: 0 (a) On the diagram above, draw and label vectors to show the normal force and gravitational force acting on the car.If you were to double the mass of the block and cart (treated as a single mass), whateffect would this have on their displacement down the slope?
- A 72-kg water skier is being accelerated by a ski boat on a flat (“glassy") lake. The coefficient of kinetic friction between the skier's skis and the water surface is Mk = 0.25 (Fig. 4–74). (a) What is the skier's acceleration if the rope pulling the skier behind the boat applies a horizontal ten- sion force of magnitude FT = 240 N to the skier (0 = 0°)? (b) What is the skier's horizontal acceleration if the rope pulling the skier exerts a force of FT = 240 N on the skier at an upward angle 0 = 12°? (c) Explain why the skier's acceleration in part (b) is greater than that in part (a). FT = 240 N Mk = 0.25 FIGURE 4-74 Problem 91.What happens to the magnitude of the normal vector on a block resting on an incline when the angle of incline increases?(I) Sketch the free-body diagram of a baseball (a) at the moment it is hit by the bat, and again (b) after it has left the bat and is flying toward the outfield. Ignore air resistance
- Asteroid Toutatis passed near Earth in 1992 at nine times the distance to our Moon. If it has a mass of 5.0 ✕ 1013 kg, what force (in N) did it exert on Earth at its closest approach in 1992? (Enter the magnitude.)A 28.0-kg block is connected to an empty 2.00-kg bucket by a cord running over a frictionless pulley (Fig. 4–73). The coefficient of static friction between the table and the block is 0.45 and the coefficient of kinetic friction between the table and the block is 0.32. Sand is gradually added to the bucket until the system just begins to move. (a) Calculate the mass of sand added to the bucket. (b) Calculate the acceleration of the system. Ignore mass of cord. 28.0 kg FIGURE 4–73 Problem 90.Distinguish between concurrent forces and coplanar forces.