A 1125kg and a 2250 kg pickup truck approach a curve on the expressway that has a radius of 225m. (a)At what angle should the highway engineer bank this curve so that vehicles travelling at 65 mi/h can safely round it regardless of the condition of their tires? (b)Should the heavier truck go slower than the lighter car ? (c)Find the normal force on each vehicle ( car and truck) due to the highway surface as they round the curve

Q: (a) Calculate the minimum coefficient of friction needed for a car to negotiate an unbanked 50.0 m…

A: Formula of coefficient of friction is as follows; μ=tanθ=v2rg…

Q: A highway exit ramp was constructed at an angle of 12 degrees and has a radius of 54m. What speed…

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Q: You merge onto I45 and catch up with the traffic. On a very flat and straight stretch of the…

A: Ans 1 Yes. When the net force acting on the body is zero, then the body is at equilibrium. The car…

Q: A girl with a mass of 52kg rides a skateboard with a mass 1.5kg. She uses her foot to apply a force…

A: Given: The mass of the girl is 52 kg. The mass of the skateboard is 1.5 kg. The acceleration of the…

Q: A box A of mass M (M = 49kg) is positioned as shown. The coefficient of static friction between the…

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Q: A person drags a sled across a frozen lake to town. The surface of the lake is quite smooth and…

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Q: A spherical raindrop of mass 0.0128 g and radius 1.45 mm falls from a cloud that is at a height of…

A: The expression for terminal speed is vt=2mgCρA=2mgCρπr2 Substitute vt=20.0128×10-3 kg9.81 ms20.61.3…

Q: 5. a) Show that the maximum speed of a vehicle that is moving on a banked track which makes an angle…

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Q: Problem#2: On an unbanked road, a vehicle travels at 42 mi/h constantly on a circular motion of…

A: The net force acting on an object is the product of the mass and the acceleration of the object. The…

Q: The coefficient of static friction between the 100 [N] box and the inclined surface is 0.20. The…

A: First, we need to identify all the forces acting on the box. These include the weight of the box…

Q: (a) If half of the weight of a small 1.00×103kg utility truck is supported by its two drive wheels,…

A: The weight of the truck is The normal force of each wheel is half the weight of the truck as weight…

Q: 15-102. The 800-lb roller-coaster car starts from rest on the track having the shape of a…

A: Apply the conservation of the impulse momentum and substitute the corresponding values to calculate…

Q: 2. On an icy winter day, the coefficient of friction between the tires of a car and a roadway might…

A: let the radius of the curve = r Let the maximum safe speed on a dry day = v Let the coefficient of…

Q: A frictionless ramp is tilted 40 degrees above the horizontal and has a 15 kg block placed on it.…

A: Angle of ramp (θ) = 40o above the horizontal mass (m) = 15 kg

Q: (ex) Two masses, pulley, incline with friction, static vs. kinetic friction: The two blocks shown…

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Q: A 28-N force is applied to a 5-kg object to move it with a constant velocity of 3.4 m/s across a…

A: Given  Force applied on object Fa=28 N Mass of the object m=5 kg Acceleration due to gravity…

Q: Suppose a car is driving down the street with a velocity of 53.0mi/h. The street is horizontal and…

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Q: The FedEx and UPS boxes have almost reached the top of the inclined plane they have been moving…

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Q: Two packing crates of masses 10.0 kg and 5.00 kg are connected by a light string that passes over a…

A: Given that: Masses of two crate is m1 = 10 kg m2 = 5 kg Inclination angle = 40 degree

Q: (a) Calculate the magnitude of the gravitational force exerted on a 450-kg satellite that is a…

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Q: A box A of mass M (M = 29kg) is positioned as shown. The coefficient of static friction between the…

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Q: A bedroom bureau with a mass of 42 kg, including drawers and clothing, rests on the floor. (a) If…

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Q: ou are exiting a highway and need to slow down on the off-ramp in order to make the curve. It is…

A: Frictional force of mass m with coefficient of static friction μ, =μmg Centripetal force of mass m…

Q: Take a 250 metric ton locomotive at latitude 79.93 W rolling on a straight track at 60 m/s. (a) What…

A: Given data: Mass of locomotive is, m=250 metric ton=250×103 kg. Power is, P=79.93 W. Velocity of…

Q: A car of mass m is moving on a level circular track of radius R. If µ, represents the static…

A: Given data: Mass of moving car is, m. Radius of circular track is, R. Coefficient of static friction…

Q: A 1290 kg car is pushing an out-of-gear 2200 kg truck that has a dead battery. When the driver steps…

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Q: A track is built so that going around a curve (R = 65.0 m), the banking of the track will allow the…

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Q: In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The…

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Q: A raindrop with radius R= 1.6 mm falls from a cloud that is at height h = 1200 m above the ground.…

A: Given: The radius of the drop is 1.6 mm. The height of the cloud is 1200 m. The density of water is…

Q: A spherical raindrop 2.9 mm in diameter falls through a vertical distance of 3800 m. Take the…

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Q: A jet dives vertically at a speed v=186 m/s, before pulling out the dive along a circular arc. The…

A: speed of jet (v) = 186 msacceleration (a)= 7.2 g = 7.2×9.8 ms2= 70.56 ms2Mass (m) = 92 kg

Q: A small car and a large pickup truck are on the same road. Both have tires made of the same…

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Q: A car of mass m is moving on a level circular track of radius R. If µ, represents the static…

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Q: the seat on a rider is equal in magnitude to the rider's weight. From what height above the bottom…

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Q: A 5.7-kg rock and a 4.6 x 10-4-kg pebble are held near the surface of the earth. (a) Determine the…

A: Mr = 5.7 kgMp = 4.6 x 10-4 kgMr - mass of the rockMp - mass of the pebble

Q: 4. A cyclist is pedaling around a circular level track of radius 45m. The coefficient of static…

A: in circular track necessary centripetal force is provided by friction force to turn Fc = mv2 / r =…

Q: The force F = 12i − 8j + 6k N is applied to the gripper of the holding device shown. Determine the…

A: Given data: The force vector is, F=12i-8j+6k N

Q: A 50,000 kg locomotive is traveling at 40.0 m/s (on a horizontal track) when its engine and brakes…

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Q: A car is rounding a tight curve on a winding road. If the radius of curvature of this curve is 10.0…

A: Given data The gives the radius of the road is R = 10 m The static friction is given as μs = 0.80.…

Q: The 1.5Mg 4-wheel drive jeep is used to push two identical packages, each weighing 500Kg. If the…

A: Concept: Firstly we will calculate the Force by the Jeep. As mass is given and static friction…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.