Answer:
<h3>25.152m</h3>
Explanation:
Compete question;
A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s² . If the tangential speed of the roller coaster cars is 15.7 m/s, find its radius.
centripetal acceleration a = v²/r
v is the tangential speed
r is the radius
Given
v = 15.7m/s
a = 9.8m/s²
9.8 = 15.7²/r
9.8r = 15.7²
r = 15.7²/9.8
r = 246.49/9.8
r = 25.152m
Hence the radius of the coaster is 25.152m
No, both the cars do not have the same velocity.
Velocity is a vector quantity and it is the rate of change of displacement with time or change in speed with direction.
Velocity has both magnitude and direction. So when you are in a car going 70 km/h and another car goes in the opposite direction at 70 km/h their velocities are different.
How?
Consider your car as moving in the positive direction, so its velocity will be 70 km/h and for the car moving in the opposite direction, since the direction is opposite, the velocity of that car will be -70 km/h. This is because, the velocity is a vector quantity that has both magnitude and direction. For one car, the direction is positive and for the other one the direction is negative.
Divide 8.5by 10then *100equals 85%