A 4000 lb automobile is traveling at 68 mph along a highway. The pavement is dry and level. The driver sees an obstruction in the road ahead and hits the brakes very hard. The vehicle is not equipped with anti-lock brakes, and the car begins to skid. The
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- A car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward at 3 m/s^2. If the elevator cable is capable of supporting 6500 N of tension before it breaks. What is the maximum number of people you could have on board?A golf ball (m = 67.8 g) is hit by a clab that makes an angle of 25.1° with the horizontal. The ball lands 222 m away on a flat fairway. The acceleration of gravity is 9.8 m/s2. If the golf club and ball are in contact for 3.34 ms, what is the average force of impact? Neglect air resistance. Answer in units of N.
- A box of holiday decorations has a mass of 38 kg and is being pushed across the floor. The frictional force along the surface is 56 N and it is being moved at a constant velocity. If the box is in equilibrium because all forces acting on it are equal, what must be the applied force in order for this to happen?An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. When the craft was stationary, the tension in the cable was 6500 N. When the craft was lowered or raised at a steady rate, the motion through the water added an 1800 N drag force. What is the weight of the rider?Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?
- A person driving on I-82 glanced at his phone to read a very important text message. When he looked back up at the road, he saw that the traffic ahead had come to a standstill and he immediately slammed on his brakes. His car created 96.5 m long skid marks before rear-ending another car. Unfortunately, a passenger in the rear-ended car was seriously injured, thus requiring an investigation by the State Patrol. The State Patrol has no proof of distracted driving, however they want to determine if a citation for speeding should be issued. A State Patrol investigator used a 3.9 kg drag sled to determine the coefficient of kinetic friction between the road and the tires of the car. The drag sled’s spring scale read 28 N when it was pulled along the ground at a constant speed. Use Newton’s Second Law and kinematics to estimate the minimum value of the car’s speed when the driver locked the brakes. (answer: about 83 mi/hr) Note: You do not need the mass of the car to answer this…Adapted from Young and Freedman (14th edition) exercise 4.4, page 124. A man is dragging a 50kg trunk up the loading ramp of a mover's truck at constant speed. The ramp has a slope angle of 20.0° and the man pulls upward with a force whose direction makes an angle of 30° with the ramp (Fig. E4.4). The dynamic coefficient of friction between the trunk and the ramp is 0.2. Give all answers to 3 significant figures. Use 9.8 m/s² for g. (a) What is the magnitude of the normal force provided by the ramp? FN = N (b) What is the force | required to drag the trunk up the ramp? N Submit You have used 0 of 8 attempts -30.0⁰ 20.0° Figure E4.4 Save All Right CalculatorA train car is accelerating with an unknown acceleration. There is a small mass hanging from a string that is attached to the ceiling of the train car. Because the train is accelerating forward, the mass is angled backwards at 6.4 deg. from the vertical. What is the magnitude of the train's acceleration?
- As a raindrop falls through the atmosphere, its speed initially increases as it falls toward the Earth. Before the raindrop reaches its terminal speed, does the magnitude of its acceleration (a) increase, (b) decrease, (c) stay constant at zero, or (d) stay constant at 9.8 m/s²? Why?Two crates of fruit are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg. The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?A 260-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0 with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.870, and the log has an acceleration of 0.800 m/s2. Find the tension in the rope.