to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall
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A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal.
a. Find the force exerted by the ramp on the car’s wheels.
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- A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. c. Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. a. Find the force exerted by the ramp on the car’s wheels. b. Find the tension on the cable.A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. b. Find the tension on the cable.
- . A 25kg wooden plate is held in place by two strings attached to the ceiling and the wall. The string attached to the ceiling makes an angle 40° with the horizontal and the string attached to the wall makes 90° with the wall. Determine the force in each string.Sally wants to hang up some decorations on the side of her house, so she props up a ladder of length L = 3m against a wall at an angle of θ = 50° with respect to the horizontal. The ground is somewhat icy, where the coefficient of static friction between the ground and the ladder’s feet is µ = 0.55; while the wall of her house can be considered frictionless. If Sally has a mass of 60kg and the ladder has a mass of 80kg, what is the max distance that she can climb up the length of the ladder without it slipping? You may assume the ground is perfectly flat, and the wall is perpendicular to the ground.To assess a patient who is suspected of having heart disease, the physician must examine the cardiac function when (a) the patient is at rest with a heart beating at a normal pace, and (b) when under stress, for example, after exercise. To simulate the conditions of stress, the patient exercises by walking a treadmill to increase heart beat and sustain high levels of cardiac stress. Suppose a 50 kg patient exercises on the treadmill, angled at 30◦ from the ground, exerting a constant force of 500 N up the slope of the treadmill while running a constant velocity of 4 m/s along the treadmill for 5 minutes. The coefficient of friction of the treadmill is µs = 0.45. Determine the work done by the patient.
- A 1.50x103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free- body diagram (FBD) is required in this problem) (a) Find the force exerted by the ramp on the car's wheels. (b) Find the tension on the cable. (c) Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?A block of mass m = 7.19kg is free to move along the x-axis of a rough horizontal surface. The mass is subject to the force of gravity, a normal force, a force of kinetic friction, and a position-dependent force. The coefficient of kinetic friction is μ = 0.363. The position-dependent force is given by F(x) = (22.05x – 9.34x²)î. When the block is at ri 1.02mi it moves with velocity v₁ = 8.17. (The input below will accept answers with no more than 1% variation from the correct value.) What is the kinetic energy of the block when it is at 7₂ = 1.02mi? J =When the load L is 8.7 m from point C, the tension T in the cable has a magnitude of 8.2 kN. Express T as a vector using the unit vectors i and j. Assume a = 8.7 m, b = 3 m, c = 7.3m. b L Answer: T = (i 7.31 B -X i+ i 4.70 j) KN
- A 1200-kg car is being driven up a 5.0° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of f = 524 N. A force →FF→ is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight −→WW→ and the normal force →FNF→N directed perpendicular to the road surface. The length of the road up the hill is 290 m. What should be the magnitude of →FF→, so that the net work done by all the forces acting on the car is +150 kJ?A 1.0 kg pendulum block at the end of a 1.0 m long rope(assume rope has no mass). When the 1.0 kg mass hangs vertically undisturbed it is in contact with a second block that sits on a flat horizontal surface. The coefficient of friction between the second block and the horizontal surface is 0.15 for kinetic friction and 0.40 for static friction. The 1.0 kg mass is pulled back to an angle of 60. degrees with respect to the vertical and let go. At the lowest point in its swing, it hits the block. After the collision (which takes 0.070 seconds) the 1.0 kg block bounces off the second block and swings back up to an angle of 12 degrees. What is the maximum mass that the second block can have if it moves after the collision?A 2.220 kg block of wood rests on a steel desk. The coefficient of static friction between the block and the desk is us = 0.605 and the coefficient of kinetic friction is µ 0.255. At time t = 0, a force F 8.10 N is Us,k applied horizontally to the block. State the force of friction applied to the block by the table at times t = 0 and t > 0. t = 0 N t > 0 N Consider the same situation, but this time the external force F is 16.3 N. Again, state the force of friction acting on the block at times t = O and t > 0. t = 0 N t > 0 N * TOOLS x10