Particle Gravity and Centripetal Acceleration on Blood and a Car

Please see the attachment for questions along with mentioned drawings.

7. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 363 kg, mB = 517 kg, and mC =154 kg. Find the magnitude and direction of the net gravitational force acting on each of the three particles (let the direction to the right be positive).

8. One kind of slingshot consists of a pocket that holds a pebble and is whirled on a circle of radius r. The pebble is released from the circle at the angle theta so that it will hit the target. The angle phi in the drawing is 38.3 degree. The distance to the target from the center of the circle is d. The circular path is parallel to the ground, and the target lies in the plane of the circle. The distance d is four times the radius r. Ignore the effect of gravity in pulling the stone downward after it is released and find the angle theta.

9. A car travels at a constant speed around a circular track whose radius is 2.8 km. The car goes once around the track in 280 s. What is the magnitude of the centripetal acceleration of the car?

10. The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 4.9 cm. If blood flows through the aortic arch at a speed of 0.33 m/s, what is the magnitude (in m/s^2) of the blood's centripetal acceleration?

A car is to be launched down a frictionless track by compressing a spring behind the carand releasing it - much the same as a pinball machine. If the track contains a circualr vertical loop of radius R, how far must the spring be compressed (x) in order for the car to stay on the track?
Given: mass of the car m=840kg. R=6.2m

A car with a constant speed of 83.0 km/h enters a circular flat curve with a radius of curvature of 0.400 km. If the friction between the road and the car's tires can supply a centripetalacceleration of 1.25 m/s^2, does the car negotiate the curve safely? Justify the answer.

A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the bottom of the container. Suppose the centripetal accel

4. A boy whirls a ball on a string 1.0 m long in a horizontal circle at 50 rpm. If the mass of the ball is 0.22 kg, what is the tension in the string?
5. A jetliner traveling at 600 km/h is turning in a circle of radius 2.5 km. What is its centripetalacceleration?
6. A 4.0-kg object is lifted 1.5 m. (a) How much work is d

Use the Free-body diagrams to answer the following:
1. You are driving along the highway, when the car in front of you makes a right-hand turn. What is the best free-body diagram of forces on the turning car, from your point of view behind the car?
2. The speed of the car in front of you is a constant 25m/s. The mass of th

Question: A rotating cylinder about 16 km in length and 8.0 km in diameter, is designed to be used as a space colony. With what angular speed must it rotate so that the residents on it will experience the same acceleration due to gravity on Earth?

5. Consider a spherical asteroid with a radius of 12 km and a mass of 3.45 x 10 to the fifteenth power kg. (a) What is the acceleration of gravity on the surface of this asteroid? (b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed w. What is the greatest value w can have befor

A car wheel of radius r rolls without slipping at a constant translational acceleration a. At one instant, the velocity of the axel is v. What net force acts on a small pebble of mass M stuck to the edge of the wheel along the X axis. Repeat for along y axis.

The carnival ride has a 2.5 m radius and rotates once each 1.80 s.
(a) Find the speed of a rider.
m/s
(b) Find the centripetalacceleration of a rider.
m/s2
(c) What produces this acceleration?
force of gravity
force of the drum walls
inertia
centrifugal force
(d) What minimum coefficient of static