A student builds and calibrates an accelerometer and uses it to determine the speed of her car around a certain unbanked highway curve. The accelerometer is a plumb bob with a protractor that she attaches to the roof of her car. A friend riding in the car with the student observes that the plumb bob hangs at an angle of 15.0° from the vertical when the car has a speed of 21.5 m/s. (a) What is the centripetal acceleration of the car rounding the curve? m/s2 (b) What is the radius of the curve? m (c) What is the speed of the car if the plumb bob deflection is 7.00° while rounding the same curve? m/s

a) 9.46M m/s^2

b) 48.83m

c) 68.22m/s

Explanation:

The centripetal force must be equal to the horizontal component (x component) of the gravitational force over the plum bob. Thus, we have

 ( 1 )

where M is the mass of the car, v its speed, r the radius of the curvature and g the gravity constant.

a) By replacing we obtain:

  ( 2 )

where it is only necessary to put the mass of the car M in (2).

b) By canceling M in (2) and taking apart r we get:

c) If the angle is 7° the speed is given by:

hope this helps!!

speed

ratio of distance traveled to time interval

net force

vector sum of forces on object

object

source of diverging light rays either luminous or illuminated

don't remove my answer im trying my best to answer them

explanation:

490 n

f=125n a=2.5m/s2