ou are assigned to do some calculations for a movie stunt that involves a car on a straight road. The road, pictured above, has a hill that rises 8.0 m above the flat region. The top of the hill is a circular arc of radius 20 m. You need to determine whether a car traveling under certain conditions will lose contact with the road at the top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign, has a speed of when it reaches the beginning of the hill, and then coasts with the engine off. Assume energy losses due to friction and air resistance are negligible. Calculate the magnitude of the acceleration of the car during the first 50 m. Calculate the time it takes the car to reach the beginning of the hill. Calculate the magnitude of the net force required to accelerate the car during the first 50 m

Q: A Ferris wheel with radius 8.0 m initially rotates clockwise at a constant rate by completing 1.50…

A: Using the kinematics equation,

Q: A basketball player kicks a hollow basketball up a ramp at 18m/s.  The ramp has an angle of 25° and…

A: Given that, initial velocity = 18m/s The ramp has an angle of 25°  length is 2.3m long

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is…

A: Here angular velocity = 4t+3 rad/sec And angular acceleration is = 4 rad/sec^2 so object speed is…

Q: A cat rides a merry-go-round turning with uniform circular motion. At time 3.5s, the cat's velocity…

A:

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A:

Q: Ill While visiting England, you decide to take a jog and find yourself in the neighborhood shown on…

A:

Q: An SUV is travelling at 20.0m/s on a straight road. Right before entering the quarter circle section…

A: Just after entering the curve, the vehicle will experience centripetal acceleration. The magnitude…

Q: A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m.…

A: GIVEN            time period = 0.10 s             Radius of circle = 0.5 m

Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

A:

Q: SVS is running an outdoor skills competition. The race is made up of three different events that…

A:

Q: A purse at radius 2.20 m and a wallet at radius 3.30 m travel in uniform circular motion on the…

A:

Q: A basketball player kicks a hollow basketball up a ramp at 18m/s.  The ramp has an angle of 25° and…

A:

Q: Arvin the Ant is on a picnic table. He travels 30 cm northeast, then 25 cm due north, and finally 15…

A: Given data: Ant travels 30 cm northeast, then 25 cm due north, and finally 15 cm west Need to…

Q: n a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 14.514.5 m in…

A:

Q: cliff

A:

Q: A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius…

A: GivenInitail velocity Of car (u)=0Radius of circular Trajectory (r)=6 mSpeed (v) of car in 2 s (t)=9…

Q: In downtown Chicago, the east-west blocks are 400 ftft long while the north-south blocks are 280…

A: The total distance in the north of south is

Q: A 26 kg spy drone is programmed to fly around at a constant height of 69 meters around a central…

A:

Q: Sarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she…

A:

Q: Problem 3: An object is thrown off the top of a building with velocity 32 m/s at an angle of 17°…

A: Time of flight t=xucosθ=280 m32 m/scos17°=9.149 s

Q: A rock is launched off a cliff at a speed of 17.2 m/s at an angle of 35.0 degrees above the…

A: Given Data: The launching speed of rock is, v=17.2 m/s The angle above the horizontal is, θ=35° The…

Q: You walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A: Let's assume X-axis along the east direction and Y-axis along north direction. Take, east and north…

Q: Find the direction of the total acceleration vector.  Express your answer as a positive number with…

A:

Q: A dog walks due East for 10.5 meters, then turns around and walks due West for 6.0 meters. What is…

A:

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A:

Q: Suppose you first walk 10.5 m in a direction 20° west of north and then 22.5 m in a direction 40°…

A: It is given that the vectors have been resolved in components. Given that A = 10.5 m , 200…

Q: Problem 2. New in the city, Armin tried to walk around and see the site. He started on his new…

A:

Q: At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude…

A:

Q: A pilot of mass 70 kg pulls out of a dive following a circular path of 900 m from the middle of the…

A: Given data The mass is m=70 kg The radius of rotation is R=900 m The velocity is, v=250 m/s   The…

Q: People seeking less thrilling rides at the local amusement park might enjoy a leisurely ride on the…

A: Given data:  Diameter (D) = 147 m Time taken to make a full circle (T) = 27 minutes Required: The…

Q: A car is driving north at a steady speed. It makes a gradual 90° left turn without losing speed,…

A: Since the car is moving with steady speed , magnitude of velocity remains constant,but direction of…

Q: The Giant Ferris wheel in vienna has radius R = 30 m. Assume that at the time t = t0 , a person is…

A:

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in…

A: Write the expression of the acceleration when the pilot got black out. a=rω=r2πN60

Q: You walk 43 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A:

Q: A truck travels due east for a distance of 1.7 km, turns around and goes due west for 9.2 km and…

A: Total Distance is just the sum of all the distances: D=1.7 km + 9.2 km + 3 km = 13.9 km

Q: The figure represents the velocity and the acceleration of a particle moving clockwise in a circle…

A: So we have given a circle of radius 25 cm or 0.25 macceleration of particle is 16 m/s2  angle is We…

Q: A ball is moving along a circular track. What can be said about the orientation of the velocity and…

A: Solution: Consider a ball moving along a circular track as shown in the figure below:…

Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given:- An incoming missile passes directly above the defense base. Radar at the base can measure…

Q: Q2. A drone is used to spray pesticide in a farm. It covers (d1=30 m) towards south. Then it flies…

A: Series of moves are given in this question, as below. It covers (d1=30 m) towards south Hence it…

Q: Q3:. A hiker start from his parked car and walked as follows: 12km due east followed by 8km at 40 °…

A: Given: Hiker walked 12 km east. Again, he walked 8 km followed by 11 km at 40∘ of east. Standard…

Q: Shown below is the radial acceleration vector for an object moving in a circle while slowing down.…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.