An 85 kg man lowers himself to the ground from a height of 10.0 m by holding onto a rope that runs over a frictionless pulley to a 65 kg sandbag. With what speed does the man hit the ground if he started from rest?
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Q: what speed ? will he be going after 35.0 m ?
A: force=1.10×103 Npushing force=805 Ndistance, x=35 mmass=90 kg
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- A student pushes a physics textbook of mass 1.15 kg across a table with a horizontal force of 5.48 Newtons. If the frictional force between the table and the textbook is 3.38 Newtons and the textbook was initially at rest, what is the speed of the textbook after 2.3 seconds? Remember to give your answer in metres per second and to at least 3 significant figures.An object with a mass of 1.53 kg is initially at rest upon a horizontal, frictionless surface. An applied force of 4.94 N i acts on the object for 2.2 s. What is the object's final speed?A bowling ball weighing 54.0 N initially moves at a speed of 5.60 m/s. How long must a force of 36.0 N be applied to the ball to stop it?
- A child riding a bicycle has a total mass of 30.6 kg. The child approaches the top of a hill that is 27.9 m high 27.9 and is 86.8 m (ℓ) long at 12.1 m/s. If the force of friction between the bicycle and the hill is 26.7 N, what is the child's velocity at the bottom of the hill? (Disregard air resistance, g = 9.8 m/s2.)At a pool, a 3.26 kg life ring is thrown by a lifeguard to a struggling swimmer. The lifeguard stand is 1.75 m above the water. If air resistance is negligible and the life ring is launch with a speed of 8.23 m/s at the angle indicated in the figure: a) Find the height of the life ring and the net force on the life ring at point P. b) Find how far the life ring lands from the base of the stand. c) With what velocity did the life ring strike the water at point Q? 30°A 0.697 kg football is thrown upward with an initial speed of 49.7 m/s. Neglecting wind resistance, what is the force on the ball when it reaches half its maximum height? Use g=9.8 m/s
- A person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.0100 s. What is the force exerted by his glove on the ball? Assume the ball slows down with constant acceleration.A commercial airplane is coming in for a landing. Just before it hits the runway it is moving at 76 m/s. The plane has a mass of 20,000 kg. The runway is 1.6km long and, obviously, the airplane needs to be stopped before it reaches the end of the runway. How large is the braking force the airplane needs to stop safely before the end of the runway?A 47,700 N car is traveling a 25 m/s. The brakes are applied suddenly, and the car slides to a stop. The average braking force between the tires and the road is 7100 N. How far will the car slide once the brakes are applied?
- A woman at an airport is rolling her suitcase (mass = 20 kg) at an initial velocity of 1 m/s by pulling on a strap at an angle of 30° above the horizontal with a force of 33 N. The woman starts to speed up when she realizes that she is late for her flight. She pulls the suitcase over a distance of 50 m as she walks to her gate. What is the speed of the suitcase when she reaches her gate? (You can neglect friction in this problem. Give your answer in m/s.)Your mass is 94.2 kg, and the sled s mass is 16.1 kg. The sled is moving by itself on the ice at 5.05 m/s. You parachute vertically down onto the sled, and land gently. What is the sled s velocity with you now on it? 0.85 m/s 0.74 m/s 0.44 m/s 0.96 m/sYour mass is 77.1 kg, and the sled s mass is 22.3 kg. The sled is moving by itself on the ice at 4.72 m/s. You parachute vertically down onto the sled, and land gently. What is the sled s velocity with you now on it? 1.38 m/s 1.22 m/s 1.06 m/s 0.53 m/s