A100 kg cart goes around the inside of a vertical loop of a roller coaster. the radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. the force exerted by the track on the cart at the top of the loop is half the cart's mass, how fast is cart moving in m/s?

The speed of cart is 5.5 m/s.

Explanation:

Given that,

Mass of cart = 100 kg

Distance = 3 m

Speed = 6 m/s

We need to calculate the speed of cart

Using relation of centripetal force and normal force

Put the value into the formula

Hence, The speed of cart is 5.5 m/s.

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answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg