The earth exerts a force of 2900 N on an orbiting communications satellite that is 40 mi above the Earth. What is the magnitude of the force the satellite will exert on the earth? Answer in units
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- Newtons Third Law: A 2.100×103 kg car is parked on a steep hill inclined at 23.0o. What is the force of friction acting on the car? The coefficients of friction between the tires and the road are μk = 0.400 and μs = 0.900. 1.89×104 N 8.04×103 N 7.24×103 N 3.22×103 NIn the figure, a crate of mass m = 110 kg is pushed at a constant speed up a frictionless ramp (0 = 26°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number 47.798 (b) Number i 109.05 Units Units ‒‒‒‒‒ e N N mA rope exerts a constant horizontal force of 280 N to pull a 50kg crate across the floor. the velocity of the crate is observed to increase from 1m/s to 7m/s in a time of 2 seconds under the influence of this force and the frictional force exerted by the floor on the crate. What is the magnitude of the frictional force acting on the crate?
- Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?A 12 kg meteor experiences an acceleration of 7.2 m/s*2, when falling towards the earth. a) How high above the earth's surface is the meteor? b) What force will a 30 kg meteor experience at the same altitude?In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 25.6°. The slab has length L = 43.4 m, thickness T = 6.23 m, and width W = 13.6 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.351. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.42 cm² and will snap under a shearing stress of 3.57 × 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
- You are trying to slide a sofa across a horizontal floor. The mass of the sofa is 2.0 x 102kg, and you need to exert a force of 3.5 x 102N to make it just begin to move. (a) Calculate the coefficient of static friction between the floor and the sofa.(b) After it starts moving, the sofa reaches a speed of 2.0 m/s after 5.0 s. Calculate the coefficient of kinetic friction between the sofa and the floor.In the figure, a crate of mass m = 99 kg is pushed at a constant speed up a frictionless ramp (0 = 30°) by a horizontal force . The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i (b) Number Units Units II ATTIT This answer has no units °(degrees) m kgFour different constant forces act on a rectangular box with mass m = 2 kg as shown in the figure These forces have the following magnitudes: F, = F E2 = F, = 10 N components of the acceleration below. 20 N The vector are: a_x = 2 m/s^2, ay= 5 m/s^2 a_x 2 m/s^2; a y = 2 m/s 2 a_x = 5 m/s^2; a_y = -5 m/s^2 a_x = -2 m/s^2; a_y = 5 m/s^2
- There are two forces on the 2.30 kg box in the overhead view of the figure but only one is shown. For F1 = 20.3 N, a = 12.1 m/s?, and e = 36.8°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i+ į Units (b) Number Units (c) Number UnitsAn SUV drives on a straight-line track. Starting with a speed v0 = 14.4m/s, it comes to rest over a distance d = 28.8m Part (a) Write an expression for the magnitude of the net force on a passenger with mass m . If m = 61.3kg, then what is the numeric value, in newtons, for the net force in Part (a)? .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?