Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be 1.30x104 kg/m at the center and 2000 kg/m at the surface. Part A What is the acceleration due to gravity at the surface of this planet? Express your answer in meters per second squared. ? m/s² Submit Request Answer
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- ng An airplane flies in a horizontal circle at a speed of 485 km/h. The wings of the aircraft are at an angle of 41 degrees to the horizontal (as shown in the figure). Assume the aircraft wings generate an aerodynamic lift force perpendicular to the wings. What is the radius of the circle in which the plane is flying? Your answer should be in meters:Over the holiday break you have an internship with an ice skating show. An ice skater will start from rest and slide down an ice-covered ramp. At the bottom of the ramp, the skater will glide around an ice-covered loop which is the inside of a vertical circle before emerging out onto the skating rink floor. For a spectacular effect, the circular loop will have a diameter of 30 feet. Your task is to determine the minimum height from the rink floor to the top of the ramp for the skater to make it around the loop. When barely making it around, the skater briefly loses contact with the ice at the top of the loop.Part A What is the value of Fmax, the maximum value of the contact force during the collision? Express your answer to two significant figures and include the appropriate units. Fmax = HÅ Value N www ?
- V-axis X-axis A Figure 1. An object (yellow point) travels from point A to point B along the arc of a circle that is centered at point O (red point). velocity of an object, either due to a change in speed or direction, means the object is accelerating. According to Newton's second law, an object will accelerate only if there is a non-zero total force acting on the object. For uniform circular motion, it turns out that this force must always be pointing towards the center of the circle that the object is travelling around and we say that there is a centripetal force present. You can use Newton's second law and a little bit of geometry to understand why an object undergoing uniform circular motion must be experiencing a force that is pointing towards the center of the circle the object is travelling on. If the acceleration vector pointed above or below the plane of the circle, the velocity vector would also end up pointing out of the plane that the circle is on. Since the velocity vector…GA car (m = 1069 kg) is moving at 16 m/s when it encounters a circular dip in the road of radius 97 m. Assuming the car maintains constant speed the entire time, what would be the magnitude of the force of gravity at the bottom of the dip? b.What is the magnitude of the car's acceleration at the bottom of the dip? c.What is the magnitude of the Normal Force on the car at the bottom of the dip?
- A 65 kg person running at 2.0 m/s jumps onto the skim board at right. The skim board is 50 cm wide and 120 cm long, with an area of 0.60 m². Part A Draw a sketch of this situation. Part B If the person jumps onto the board on sand with a coefficient of friction of f=0.50, what force will resist the forward movement of the board [N]? Recall the friction force is the normal force times the coefficient of friction. Part C Now assume the person jumps onto the board on a 0.50 cm film of fresh water at 30°C. Use Newton's law of viscosity to estimate the force resisting the forward movement of the board.You're driving home from the grocery store at 12 m/s with a 7.0 kg bag of groceries on the front seat when the light ahead turns red. Part A What is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal. Express your answer with the appropriate units. ► View Available Hint(s) Ax= HÅ Value Units ?A rocket with a mass of 2.70x106 kg exerts a vertical force of 3.40×107 N on the gases it expels. ▼ Part A Determine the acceleration of the rocket. Assume g remains constant, and ignore the mass of gas expelled (not realistic). Express your answer using two significant figures. VE ΑΣΦ Submit Dart R Request Answer ? m/s²